Ebook: Delay Effects on Stability: A Robust Control Approach

This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

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This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

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This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.
Content:
Front Matter....Pages i-xvi
Preliminaries....Pages 1-46
Examples....Pages 47-86
Stability sets and regions....Pages 87-130
Reducible discrete delays and LTIs....Pages 131-196
Liapunov’s second method and LMIs....Pages 197-252
Robustness issues in closed-loop....Pages 253-282
Applications....Pages 283-326
Back Matter....Pages 327-383

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This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.
Content:
Front Matter....Pages i-xvi
Preliminaries....Pages 1-46
Examples....Pages 47-86
Stability sets and regions....Pages 87-130
Reducible discrete delays and LTIs....Pages 131-196
Liapunov’s second method and LMIs....Pages 197-252
Robustness issues in closed-loop....Pages 253-282
Applications....Pages 283-326
Back Matter....Pages 327-383
....