期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 46, 期 -, 页码 29-42出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.07.020
关键词
Asymptotic estimation; Rational stability; Partial rational stability; Time-varying systems; Lyapunov function
This paper presents new criteria for the rational stability of dynamical systems. We introduce basic and useful results on how to construct control laws to assure rational stability. Both Coron and Sontag examples were re-visited. A particular attention is paid to time-varying systems where sufficient Lyapunov conditions are developed guaranteeing the rational stability of this class of systems. As application, the example of double integrator is treated where new time-varying feedbacks rationally stabilizing this system are reconstructed. (C) 2018 Elsevier Ltd. All rights reserved.
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