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- W2300917488 abstract "AbstractWe present a set of results concerning the existence of Lyapunov-Krasovskii functionals for classes of nonlinear switched systems withtime-delay. In particular, we first present a result for positive systemsthat relaxes conditions recently described in [11] for the existence of L-K functionals. We also provide related conditions for positive coupleddifferential-difference positive systems and for systems of neutral typethat are not necessarily positive. Finally, corresponding results fordiscrete-time systems are described. 1 Introduction In the stability analysis of positive systems ([1], [2]), linear Lyapunov func-tions have received considerable attention recently ([3], [4], [5], [6]). Initialefforts in this direction considered linear time-varying systems and switchedlinear systems in particular. More recently, researchers have focussed on ∗ Faculty of Applied Mathematics and Control Processes, St. Petersburg State Uni-versity, St. Petersburg, Russia; email: alex43102006@yandex.ru; supported by by theSt. Petersburg State University, project no. 9.38.674.2013, by the Russian Foundation ofBasic Researches, grants no. 13-01-00376-a and 13-08-00948-a" @default.
- W2300917488 created "2016-06-24" @default.
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- W2300917488 date "2013-11-19" @default.
- W2300917488 modified "2023-09-27" @default.
- W2300917488 title "On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay" @default.
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