Vector Extensions of Halanay’s Inequality
IEEE Transactions on Automatic Control(2022)
摘要
We provide two extensions of Halanay’s inequality, where the scalar function in the usual Halanay’s inequality is replaced by a vector valued function, under a Metzler condition. We provide an easily checked necessary and sufficient condition for asymptotic convergence of the function to the zero vector in the time-invariant case. For the time-varying cases, we provide a sufficient condition for t...
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关键词
Convergence,Delays,Asymptotic stability,Stability criteria,Time-varying systems,Lyapunov methods,Linear matrix inequalities
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