List of Publications

Other publications (including papers under review)

Papers

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by a direct gradient descent method, Nonlinear Dynamics and Systems Theory, vol. 5, no. 1, pp. 91-105, March 2005.

K. Shimizu and S. Ito: Nonlinear dynamical programming via direct gradient descent control, Proceedings of the 6th International Conference on Optimization: Techniques and Applications, cdrom, December 2004.

S. Ito, Y. Liu and K. L. Teo: An approximation approach to non-strictly convex quadratic semi-infinite programming, Journal of Global Optimization, vol. 30, nos. 2-3, pp. 195-206, 2004.

Y. Liu, K. L. Teo and S. Ito: Global optimization in quadratic semi-infinite programming, Computing, Supplement, vol. 15, G. Alefeld and X. Chen (eds.), Topics in Numerical Analysis, With Special Emphasis on Nonlinear Problems, pp. 119-132, 2001.

Y. Liu, S. Ito, J. H. W. Lee and K. L. Teo: A semi-infinite programming approach to continuously constrained LQ optimal control problems, Journal of Optimization Theory and Applications, vol. 108, no. 3, pp. 617-632, 2001.

K. Shimizu, S. Ito and K. Otsuka: Modified direct gradient descent control of nonlinear systems, in X. Q. Yang, K. L. Teo and L. Caccetta (eds.), Optimization Methods and Applications, Applied Optimization 52, Chapter 8 (pp. 139-149), Kluwer Academic Publishers, 2001.

S. Ito, Y. Liu and K. L. Teo: A dual parametrization method for convex semi-infinite programming, Annals of Operations Research, vol. 98, pp. 189-213, 2000.

Y. Liu, K. L. Teo and S. Ito: A dual parametrization approach to linear-quadratic semi-infinite programming problems, Optimization Methods and Software, vol. 10, no. 3, pp. 471-495, 1999.

S. Ito: Optimality and duality of semi-infinite programming (in Japanese), Proceedings of the Institute of Statistical Mathematics, vol. 46, no. 2, pp. 345-358, 1998.

S. Ito, Y. Liu and K. L. Teo: A dual parametrization method for convex semi-infinite programming, in L. Caccetta, K. L. Teo, P. F. Siew, Y. H. Leung, L. S. Jennings and V. Rehbock (eds.), Optimization: Techniques and Applications, vol. 1, Curtin University of Technology, pp. 550-557, 1998.

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by direct gradient descent method, in H. J. C. Huijberts, H. Nijmeijer, A. J. van der Schaft and J. M. A. Scherpen (eds.), Proceedings of the IFAC Nonlinear Control Systems Design Symposium 1998, vol. 1, pp. 185-190, 1998.

S. Ito: Numerical methods of nonlinear optimal control based on mathematical programming, Nonlinear Analysis: Theory, Methods & Applications, vol. 30, no. 6, pp. 3843-3854, 1997.

K. Shimizu and S. Ito: Min-max control of LQ systems under the $H_\infty$ norm constraint, in J. A. Filar, V. Gaitsgory and F. Imado (eds.), Proceedings of the Seventh International Symposium on Dynamic Games and Applications, vol. 2, pp. 841-854, 1996.

K. Shimizu, H. Nukumi and S. Ito: Direct steepest descent control of nonlinear dynamical systems, in A. J. Krener and D. Q. Mayne (eds.), Nonlinear Control Systems Design 1995, Pergamon, pp. 801-806, 1996.

K. Shimizu and S. Ito: Satisfactory optimal control--min-max control under the $H_\infty$ norm constraint, Proceedings of the 1995 American Control Conference, pp. 4445-4450, 1995.

S. Ito: A primal-dual interior-point algorithm for state-constrained LQ optimal control problems, Proceedings of the 1995 American Control Conference, pp. 2077-2078, 1995.

S. Ito: Inexact implementation of interior point algorithms for optimal control problems, in T. Ushijima, Z. Shi and T. Kako (eds.), Advances in Numerical Mathematics, Lecture Notes in Numerical and Applied Analysis, vol. 14, Kinokuniya, pp. 245-248, 1995.

S. Ito, C. T. Kelley and E. W. Sachs: Inexact primal-dual interior point iteration for linear programs in function spaces, Computational Optimization and Applications, vol. 4, no. 3, pp. 189-202, 1995.

S. Ito: A primal-dual interior point method for infinite-dimensional linear programming problems (in Japanese), Proceedings of the Institute of Statistical Mathematics, vol. 42, no. 2, pp. 239-246, 1994.

K. Shimizu and S. Ito: Constrained optimization in Hilbert space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems, IEEE Transactions on Automatic Control, vol. 39, no. 5, pp. 982-986, 1994.

K. Shimizu and S. Ito: Satisfactory optimal control-formulation and algorithm, Proceedings of the 2nd European Control Conference, vol. 3, pp. 1404-1409, 1993.

K. Shimizu and S. Ito: Constrained optimization in Banach space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems, Proceedings of the 1991 American Control Conference, vol. 1, pp. 364-369, 1991.

S. Ito and K. Shimizu: Dual quasi-Newton algorithms for infinitely constrained optimization problems (in Japanese), Transactions of the Society of Instrument and Control Engineers, vol. 27, no. 4, pp. 452-457, 1991.

S. Ito and K. Shimizu: A solution of optimal control problems with terminal state equality constraints by quasi-Newton method, Proceedings of the 29th SICE Annual Conference, vol. II, pp. 717-720, 1990.

S. Ito and K. Shimizu: Necessary conditions for constrained optimal control problems via mathematical programming, Numerical Functional Analysis and Optimization, vol. 11, nos. 3/4, pp. 267-281, 1990.

K. Shimizu and S. Ito: Dual quasi-Newton method in Hilbert spaces with an application to state-constrained optimal control problems (in Japanese), Transactions of the Society of Instrument and Control Engineers, vol. 26, no. 9, pp. 1015-1022, 1990.

Survey Papers

S. Ito: Semi-infinite programming (in Japanese), Journal of the Society of Instrument and Control Engineers, vol. 39, no. 2, pp. 141-146, 2000.

Other Publications

S. Ito and K. Shimizu: A path following method for solving a class of semi-infinite programming problems, Abstracts of OCA 2004, July 2004.

S. Ito: A dual parametrization method for solving a class of min-max problems, Abstracts of JSOM 2002, p. 46, 2002.

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by a direct gradient descent method, Abstracts of OCA 2002, pp. 45-46, 2002.

S. Ito: A numerical approach to global optimization via semi-infinite programming, Abstracts, The International Symposium `New Trends in Optimization and Computational Algorithms', The Institute of Statistical Mathematics, p. 24, 2001.

S. Ito, Y. Liu and K. L. Teo: Dual parametrization for linear semi-infinite programming, submitted for publication November 2001.

S. Ito: Semi-infinite programming applications in filter design, Proceedings of the 44th Japan Joint Automatic Control Conference, pp. 126-129, 2001.

S. Ito: Computational experiences on semi-infinite programming, in X. Chen, Q. Fang, T. Makino, Y. Ohtsubo and T. Tsuchiya (eds.) Abstracts of Talks, The International Conference on Recent Advances in Computational Mathematics, Ehime University, Kochi University, Shimane University, Yamaguchi University and Japan SIAM, p. 38, 2001.

S. Ito: A numerical method for solving linear semi-infinite programming, Programme of the International Workshop on Control, Optimization, Signal Processing and Computer Communications, The Hong Kong Polytechnic University, City University of Hong Kong and University of Melbourne, 2001.

S. Ito: Numerical solution of state-constrained optimal control problems by dual SQP and cutting plane strategy, Optimization: Modeling and Algorithms 14, Cooperative Research Report no. 135, The Institute of Statistical Mathematics, pp. 56-64, 2000.

S. Ito: Global optimization via semi-infinite programming, Abstracts of the First Sino-Japan Optimization Meeting, p.31, 2000.

S. Ito: Numerical solution of optimal control problems with state trajectory constraints by dual sequential quadratic programming and cutting plane strategy, Abstracts of the 17th International Symposium on Mathematical Programming, p. 51, 2000.

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by a direct gradient descent method, submitted for publication August 1998 and revised July 1999.

Y. Liu, S. Ito and K. L. Teo: A semi-infinite programming approach to continuously constrained LQ optimal control problems, Proceedings of the 38th SICE Annual Conference, International Session Papers Volume, pp. 1149-1154, 1999.

S. Ito: Semi-infinite programming and related topics (in Japanese), Proceedings of the 11th RAMP (ORSJ Research Association of Mathematical Programming) Symposium, pp. 107-118, 1999.

S. Ito: Global optimization via semi-infinite programming, Abstracts of the Sixth SIAM Conference on Optimization, 1999.

S. Ito and K. L. Teo: Dual sequential quadratic programming for nonlinear semi-infinite optimization, Program and Abstracts of The International Conference on Nonlinear Programming and Variational Inequalities, p. 23, 1998.

S. Ito: A dual parametrization method for convex semi-infinite programming, Program and Abstracts of the 16th International Symposium on Mathematical Programming, p. 133, 1997.

S. Ito: Theory and computational methods of semi-infinite programming, Proceedings of the 1996 Workshop on MHD Computations: Numerical Methods and Optimization Techniques in Controlled Thermonuclear Fusion Research, Cooperative Research Report no. 105, The Institute of Statistical Mathematics, pp. 119-128, 1997.

S. Ito: An interior point approach to semi-infinite linear programming, distributed at the International Symposium on Optimization and Computation, Hayama, Japan, August 1996.

S. Ito: A relaxation procedure for state-constrained optimal control problems, Abstracts of the Fifth SIAM Conference on Optimization, p. 68, 1996.

S. Ito: An inexact primal-dual infeasible-interior-point algorithm for linear programming, Book of Abstracts of the Third International Congress on Industrial and Applied Mathematics, p. 310, 1995.

K. Shimizu, H. Nukumi and S. Ito: Direct steepest descent control of nonlinear dynamical systems, Preprints of the 3rd IFAC Symposium on Nonlinear Control Systems Design, vol. 2, pp. 877-882, 1995.

S. Ito: A primal-dual interior point method for infinite-dimensional linear programming problems (in Japanese), Optimization: Modeling and Algorithms 5, Cooperative Research Report no. 61, The Institute of Statistical Mathematics, pp. 50-56, 1994.

S. Ito: An interior point algorithm in Hilbert space with applications to optimal control problems (in Japanese), Proceedings of the 20th SICE Systems Symposium, pp. 335-342, 1994.

S. Ito: Interior point methods for optimal control problems (in Japanese), Proceedings of the 1994 JSIAM Annual Meeting, pp. 178-179, 1994.

S. Ito: Inexact implementation of interior point algorithms for optimal control problems, Preprints of the Second Japan-China Joint Seminar on Numerical Mathematics, pp. 30-33, 1994.

S. Ito: The use of path-following algorithms for solving continuous-time optimal control problems, Abstracts of the 15th International Symposium on Mathematical Programming, p. 107, 1994.

S. Ito: Quasi-Newton algorithms for constrained optimal control problems, CT$\infty$ Review: The 1st CT$\infty$ Seminar on Modeling and Control, pp. 29-36, 1993.

S. Ito: Quasi-Newton algorithms for constrained optimal control problems, Optimization: Modeling and Algorithms 3, Cooperative Research Report no. 45, The Institute of Statistical Mathematics, pp. 76-93, 1993.

S. Ito: Optimization in Banach spaces with applications to constrained optimal control problems, PhD dissertation, Keio University, Yokohama, 1991.

S. Ito, R. Hoshino, N. Sueoka and K. Shimizu: Dual quasi-Newton method for optimal control problems with state constraints on subintervals (in Japanese), Proceedings of the 29th SICE Annual Conference, pp. 249-250, 1990.

S. Ito and K. Shimizu: Dual quasi-Newton algorithms for infinitely constrained optimization problems (in Japanese), Proceedings of the 12th SICE Symposium on Dynamical System Theory, pp. 133-138, 1989.

K. Shimizu, S. Ito, R. Hoshino and N. Sueoka: Dual quasi-Newton method in Hilbert spaces with an application to state-constrained optimal control problems, part 2: numerical examples (in Japanese), Proceedings of the 12th SICE Symposium on Dynamical System Theory, pp. 129-132, 1989.

K. Shimizu, S. Ito and N. Tamura: Dual quasi-Newton method in Hilbert spaces with an application to state-constrained optimal control problems, part 1: theory (in Japanese), Proceedings of the 12th SICE Symposium on Dynamical System Theory, pp. 123-128, 1989.

Oral Presentation

K. Shimizu and S. Ito: Nonlinear dynamical programming via direct gradient descent control, The 6th International Conference on Optimization: Techniques and Applications, Ballarat, Victoria, Australia, December 2004.

S. Ito and K. Shimizu: A path following method for solving a class of semi-infinite programming problems, The Third International Conference on Optimization and Control with Applications, Chongqing and Chengdu, Sichuan, PRC, July 2004.

S. Ito: Infinite programming and cutting plane methods (in Japanese), The Institute of Statistical Mathematics, Tokyo, Japan, June 2004.

S. Ito: A dual parametrization method for solving a class of min-max problems, The Second Japanese-Sino Optimization Meeting, Kyoto, Japan, September 2002.

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by a direct gradient descent method, The Second International Conference on Optimization and Control with Applications, Huangshan, Anhui, PRC, August 2002.

S. Ito: A numerical approach to global optimization via semi-infinite programming, The International Symposium `New Trends in Optimization and Computational Algorithms', Kyoto, Japan, December 2001.

S. Ito: Semi-infinite programming applications in filter design (in Japanese), The 44th Japan Joint Automatic Control Conference, Yokohama, Japan, November 2001.

S. Ito: Computational experiences on semi-infinite programming, The International Conference on Recent Advances in Computational Mathematics, Matsuyama, Japan, October 2001.

S. Ito, K. L. Teo and Y. Liu: Dual parametrization for linear semi-infinite programming, The 34th Workshop on Optimization and Control with Applications, International School of Mathematics `G. Stampacchia', Erice, Italy, July 2001.

S. Ito, K. L. Teo and Y. Liu: A numerical method for solving linear semi-infinite programming, The International Workshop on Control, Optimization, Signal Processing and Computer Communications, Hong Kong, PRC, May 2001.

S. Ito: Global optimization via semi-infinite programming, The First Sino-Japan Optimization Meeting, Hong Kong, PRC, October 2000.

S. Ito: Numerical methods of optimal control (in Japanese), The Institute of Statistical Mathematics, Tokyo, Japan, September 2000.

S. Ito: Numerical solution of optimal control problems with state trajectory constraints by dual sequential quadratic programming and cutting plane strategy, The 17th International Symposium on Mathematical Programming, Atlanta, Georgia, US, August 2000.

S. Ito: Infinite programming and optimal control (in Japanese), ORSJ Seminar on Optimization and Algorithms, Tokyo, Japan, June 2000.

S. Ito: Numerical solution of state-constrained optimal control problems by dual sequential quadratic programming and cutting plane strategy (in Japanese), The 14th ISM Cooperative Research Meeting on Optimizaiton: Modeling and Algorithm, The Institute of Statistical Mathematics, Tokyo, Japan, March 2000.

S. Ito: Cutting plane approach to state-constrained optimal control problems, The Workshop on Numerical Methods for Control and Optimization, Matsuyama, Japan, March 2000.

S. Ito: Semi-infinite programming and related topics (in Japanese), The 11th RAMP (ORSJ Research Association of Mathematical Programming) Symposium, Fukuoka, Japan, October 1999.

K. Shimizu, S. Ito and K. Otsuka: Modified direct gradient descent control of nonlinear systems, The International Congress on Dynamics and Control of Systems, Ottawa, Ontario, August 1999.

Y. Liu, S. Ito and K. L. Teo: A semi-infinite programming approach to continuously constrained LQ optimal control problems, The 38th SICE Annual Conference, International Sessions, Morioka, Japan, July 1999.

S. Ito and K. L. Teo: Dual sequential quadratic programming for nonlinear semi-infinite optimization, The International Conference on Nonlinear Programming and Variational Inequalities, Hong Kong, PRC, December 1998.

S. Ito, Y. Liu and K. L. Teo: A dual parametrization method for convex semi-infinite programming, The 4th International Conference on Optimisation: Techniques and Applications, Perth, Western Australia, Australia, July 1998.

K. Shimizu, S. Ito and S. Suzuki: Tracking control of general nonlinear systems by direct gradient descent method, The 4th IFAC Symposium on Nonlinear Control Systems Design, Enschede, The Netherlands, July 1998.

S. Ito, Y. Liu and K. L. Teo: A dual parametrization method for convex semi-infinite programming, The 16th International Symposium on Mathematical Programming, Lausanne, Switzerland, August 1997.

S. Ito: Optimality conditions and numerical methods of semi-infinite programming (in Japanese), ORSJ Research Association of Mathematical Programming, Monthly Seminar, Tokyo, Japan, July 1997.

K. Shimizu and S. Ito: Min-max control of LQ systems under the $H_\infty$ norm constraint, The Seventh International Symposium on Dynamic Games and Applications, Hayama, Japan, December 1996.

S. Ito: Theory of semi-infinite programming (in Japanese), Workshop on MHD Computations, Tokyo, Japan, November 1996.

S. Ito: An interior point approach to semi-infinite linear programming, The International Symposium on Optimization and Computation, Hayama, Japan, August 1996.

S. Ito: Numerical methods of nonlinear optimal control based on mathematical programming, The 2nd World Congress of Nonlinear Analysts, Athens, Greece, July 1996.

S. Ito: Theory and computational methods of semi-infinite programming (in Japanese), The Institute of Statistical Mathematics, Tokyo, Japan, June 1996.

S. Ito: A relaxation procedure for state-constrained optimal control problems, The Fifth SIAM Conference on Optimization, Victoria, British Columbia, Canada, May 1996.

S. Ito: Interior point methods for optimal control and optimal control with the $H_\infty$ norm constraints, The University of Western Australia, Applied Mathematics Seminar, Perth, Western Australia, Australia, April 1996.

S. Ito: Semi-infinite programming, The University of Westeren Australia, Department of Mathematics, Perth, Western Australia, Australia, April 1996.

S. Ito: An inexact primal-dual infeasible-interior-point algorithm for linear programming, The Third International Congress on Industrial and Applied Mathematics, Hamburg, Germany, July 1995.

K. Shimizu, H. Nukumi and S. Ito: Direct steepest descent control of nonlinear dynamical systems, The 3rd IFAC Symposium on Nonlinear Control Systems Design, Tahoe City, California, June 1995.

K. Shimizu and S. Ito: Satisfactory optimal control--min-max control under the $H_\infty$ norm constraint, The 1995 American Control Conference, Seattle, Washington, June 1995.

S. Ito: A primal-dual interior-point algorithm for state-constrained LQ optimal control problems, The 1995 American Control Conference, Seattle, Washington, June 1995.

S. Ito: Inexact implementation of primal-dual interior-point algorithms with applications to optimal control (in Japanese), The Institute of Statistical Mathematics, Tokyo, Japan, November 1994.

S. Ito: An interior point algorithm in Hilbert space with applications to optimal control problems (in Japanese), The 20th SICE Systems Symposium, Okinawa, Japan, October 1994.

S. Ito: Interior point methods for optimal control problems (in Japanese), The 1994 JSIAM Annual Meeting, Chiba, Japan, September 1994.

S. Ito: Inexact implementation of interior point algorithms for optimal control problems, The Second Japan-China Joint Seminar on Numerical Mathematics, Tokyo, Japan, August 1994.

S. Ito: The use of path-following algorithms for solving continuous-time optimal control problems, The 15th International Symposium on Mathematical Programming, Ann Arbor, Michigan, August 1994.

S. Ito: A primal-dual interior point method for infinite-dimensional linear programming problems with an application to continuous-time optimal control problems (in Japanese), The 8th ISM Cooperative Research Meeting on Optimizaiton: Modeling and Algorithm, The Institute of Statistical Mathematics, Tokyo, Japan, March 1994.

S. Ito: Primal-dual interior-point methods for linear programming in function spaces (in Japanese), ORSJ Research Association of Mathematical Programming, Monthly Seminar, Tokyo, Japan, February 1994.

S. Ito: Satisfactory optimal control--formulation and algorithm, North Carolina State University, Department of Mathematics, Raleigh, North Carolina, October 1993.

K. Shimizu and S. Ito: Satisfactory optimal control--formulation and algorithm, The 2nd European Control Conference, Groningen, The Netherlands, June 1993.

S. Ito: Optimal control of dynamical systems (in Japanese), The Institute of Statistical Mathematics, Tokyo, Japan, November 1992.

S. Ito: Mathematical programming and optimal control (in Japanese), The 7th CT$\infty$ Meeting, Tokyo, Japan, June 1992.

S. Ito: Quasi-Newton methods for various optimal control problems (in Japanese), The 6th ISM Cooperative Research Meeting on Optimizaiton: Modeling and Algorithm, The Institute of Statistical Mathematics, Tokyo, Japan, March 1992.

S. Ito: Mathematical programming and optimal control (in Japanese), The ISM Cooperative Research Meeting on Control Systems Design under Incomplete Information, The Institute of Statistical Mathematics, Tokyo, Japan, September 1991.

K. Shimizu and S. Ito: Constrained optimization in Banach space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems, The 1991 American Control Conference, Boston, Massachusetts, June 1991.

S. Ito: Mathematical programming approach to constrained optimal control problems (in Japanese), ORSJ Research Association of Mathematical Programming, Monthly Seminar, Tokyo, Japan, April 1991.

S. Ito, R. Hoshino, N. Sueoka and K. Shimizu: Dual quasi-Newton method for optimal control problems with state constraints on subintervals (in Japanese), The 29th SICE Annual Conference, Tokyo, July 1990.

S. Ito and K. Shimizu: A solution of optimal control problems with terminal state equality constraints by quasi-Newton method, The 29th SICE Annual Conference, International Sessions, Tokyo, Japan, July 1990.

S. Ito and K. Shimizu: Dual quasi-Newton algorithms for infinitely constrained optimization problems (in Japanese), The 12th SICE Symposium on Dynamical System Theory, Toyohashi, Japan, November 1989.

K. Shimizu, S. Ito, R. Hoshino and N. Sueoka: Dual quasi-Newton method in Hilbert spaces with an application to state-constrained optimal control problems, part 2: numerical examples (in Japanese), The 12th SICE Symposium on Dynamical System Theory, Toyohashi, Japan, November 1989.

K. Shimizu, S. Ito and N. Tamura: Dual quasi-Newton method in Hilbert spaces with an application to state-constrained optimal control problems, part 1: theory (in Japanese), The 12th SICE Symposium on Dynamical System Theory, Toyohashi, Japan, November 1989.

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Last updated: April 1, 2005