Invariance-Like Theorems and "lim inf" Convergence Properties
IEEE Trans. Automat. Contr.(2016)
摘要
Several theorems, inspired by the Krasovskii- LaSalle invariance principle, to establish “lim inf” convergence results are presented in a unified framework. These properties are useful to “describe” the oscillatory behavior of the solutions of dynamical systems. The theorems resemble “lim inf” Matrosov and Small-gain theorems and are based on a “lim inf” Barbalat’s Lemma. Additional technical assumptions to have “lim” convergence are given: the “lim inf” / “lim” relation is discussed indepth and the role of some of the assumptions is illustrated by means of examples.
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关键词
Convergence,Linear matrix inequalities,Asymptotic stability,Lyapunov methods,Nonlinear systems,Trajectory,Electronic mail
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