Strict disconjugacy of -th order linear differential equations with delays
Jaroš, František
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Jaroš, František
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Miroslav Halás, Pavol Bisták (2014)
Kybernetika
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The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore...
Li Ma, Meimei Xu, Ruting Jia, Hui Ye (2014)
Kybernetika
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This paper is concerned with the exponential filter design problem for stochastic Markovian jump systems with time-varying delays, where the time-varying delays include not only discrete delays but also distributed delays. First of all, by choosing a modified Lyapunov-Krasovskii functional and employing the property of conditional mathematical expectation, a novel delay-dependent approach is developed to deal with the mean-square exponential stability problem and control problem....