Dissipativity analysis and synthesis of a class of nonlinear systems with time-varying delays |
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| Authors: | Magdi S Mahmoud Yan Shi |
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| Institution: | a Department of Systems Engineering, King Fahd University of Petroleum and Minerals, P.O. 985, Dhahran 31261, Saudi Arabia
b School of Engineering, Kyushu Tokai University, 9-9-1, Toroku, Kumamoto 862-8652, Japan |
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| Abstract: | In this paper, new results are established for the delay-independent and delay-dependent problems of dissipative analysis and state-feedback synthesis for a class of nonlinear systems with time-varying delays with polytopic uncertainties. This class consists of linear time-delay systems subject to nonlinear cone-bounded perturbations. Both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequality-based feasibility tests. The developed results in this paper for the nominal system encompass available results on H∞ approach, passivity and positive realness for time-delay systems as special cases. All the sufficient stability conditions are cast. Robust dissipativity as well as dissipative state-feedback synthesis results are also derived. Numerical examples are provided to illustrate the theoretical developments. |
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| Keywords: | Dissaptivity Dissipative analysis Dissipative synthesis Time-delay systems Nonlinear systems State feedback |
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