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 Title: Singular finite horizon full information $\cal H^\infty$ control via reduced order Riccati equations (English) Author: Amato, Francesco Author: Pironti, Alfredo Language: English Journal: Kybernetika ISSN: 0023-5954 Volume: 31 Issue: 6 Year: 1995 Pages: 601-611 . Category: math . MSC: 90D25 MSC: 93B36 idZBL: Zbl 0863.93026 idMR: MR1374148 . Date available: 2009-09-24T18:59:09Z Last updated: 2012-06-06 Stable URL: http://hdl.handle.net/10338.dmlcz/125269 . Reference: [1] F. Amato, A. Pironti: A note on singular zero-sum linear quadratic differential games.In: Proceedings of the 33rd IEEE Conference or. Decision and Control, Orlando 1994. Reference: [2] T. Basar, G. J. Olsder: Dynamic Noncooperative Game Theory.Academic Press, New York 1989. MR 1311921 Reference: [3] S. Butman: A method for optimizing control-free costs in systems with linear controllers.IEEE Trans. Automat. Control 13 (1968), 554-556. MR 0238585 Reference: [4] J. W. Helton M. L. Walker, W. Zhan: ${\cal H}^\infty$ control using compensators with access to the command signals.In: Proceedings of the 31st Conference on Decision and Control, Tucson 1992. Reference: [5] D. J. N. Limebeer B. D. O. Anderson P. P. Khargonekar, M. Green: A game theoretic approach to ${\cal H}^\infty$ control for time-varying systems.SIAM J. Control Optim. 30 (1992), 262-283. MR 1149068 Reference: [6] R. Ravi K. M. Nagpal, P. P. Khargonekar: ${\cal H}^\infty$ control of linear time-varying systems: a state space approach.SIAM J. Control Optim. 29 (1991), 1394-1413. MR 1132188 Reference: [7] J. L. Speyer, D. H. Jacobson: Necessary and sufficient condition for optimality for singular control problem.J. Math. Anal. Appl. 33 (1971). MR 0272469 Reference: [8] A. A. Stoorvogel, H. Trentelman: The quadratic matrix inequality in singular ${\cal H}^\infty$ control with state feedback.SIAM J. Control Optim. 28 (1990), 1190-1208. MR 1064725 Reference: [9] G. Tadmor: Worst-case design in time domain: the maximum principle and the standard ${\cal H}^\infty$ problem.Math. Control Signals Systems 3 (1990), 301-324. MR 1066375 .

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