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International Journal of Systems Science Volume 21, 1990 - Issue 4
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Original Articles

Optimal technique for estimating the reachable set of a controlled n-dimensional linear system

GARY C. W. SABIN Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John's, Newfoundland, Canada, A1B 3X5
&
DANNY SUMMERS Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada, A1C 5S7
Pages 675-692 | Received 15 Feb 1989, Published online: 01 Feb 2007

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Ming Xu, Liangyu Chen, Zhenbing Zeng & Zhi-bin Li. (2010) Reachability analysis of rational eigenvalue linear systems. International Journal of Systems Science 41:12, pages 1411-1419.
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C. Y. KAYA & D. J. BELL. (1993) Performance deterioration in optimum linear systems. International Journal of Systems Science 24:7, pages 1285-1300.
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Articles from other publishers (12)

Franco Blanchini & Stefano MianiFranco Blanchini & Stefano Miani. 2015. Set-Theoretic Methods in Control. Set-Theoretic Methods in Control 235 287 .
. (2010) From Control Systems to Control Software. IEEE Control Systems 30:6, pages 50-71.
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Wen‐Liang A. Wang & Hiro Mukai. (2008) STABILITY OF LINEAR TIME‐INVARIANT OPEN‐LOOP UNSTABLE SYSTEMS WITH INPUT SATURATION. Asian Journal of Control 6:4, pages 496-506.
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W.-L.A. Wang, H. Mukai & Y.J. Chen. (2004) The maximal controllable set for open-loop unstable systems under input saturation. The maximal controllable set for open-loop unstable systems under input saturation.
Bettina Kümmerling-MeibauerBettina Kümmerling-Meibauer. 2004. Klassiker der Kinder- und Jugendliteratur. Klassiker der Kinder- und Jugendliteratur 945 1053 .
Vladimir A. Kamenetskiy. (1996) Construction of a Constrained Stabilizing Feedback by Lyapunov Functions 1. IFAC Proceedings Volumes 29:1, pages 2020-2025.
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J. P. Quinn & D. Summers. (1996) Outer ellipsoidal approximations of the reachable set at infinity for linear systems. Journal of Optimization Theory and Applications 89:1, pages 157-173.
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M. E. Fisher, T. L. Vincent & D. Summers. (1995) Under-estimates of reachable sets for linear control systems. Dynamics and Control 5:3, pages 241-251.
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J.H. Braslavsky & R.H. Middleton. (1993) On the Stabilisation of Linear Unstable Systems with Control Constraints. IFAC Proceedings Volumes 26:2, pages 291-294.
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D. Summers, Z. Y. Wu & G. C. W. Sabin. (1992) State estimation of linear dynamical systems under bounded control. Journal of Optimization Theory and Applications 72:2, pages 299-318.
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Danny Summers, Zong Y. Wu & Gary C.W. Sabin. (1991) Disturbed nonlinear multispecies models in ecology. Mathematical Biosciences 104:2, pages 159-184.
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J.E. Gayek. (1991) A survey of techniques for approximating reachable and controllable sets. A survey of techniques for approximating reachable and controllable sets.

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