l1-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: A linear programming approach

This paper is concerned with the l1-gain performance analysis and positive filter design for a positive discrete-time Markov jump linear system (MJLS) by using a linear programming (LP) approach. First, by constructing a linear stochastic Lyapunov function and introducing an “equivalent” determinist...

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Vydané v:	Automatica (Oxford) Ročník 50; číslo 8; s. 2098 - 2107
Hlavní autori:	Zhu, Shuqian, Han, Qing-Long, Zhang, Chenghui
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier Ltd 2014 Elsevier
Predmet:	[formula omitted]-gain performance Applied sciences Biological and medical sciences Control Exact sciences and technology Fundamental and applied biological sciences. Psychology Linear programming Markov jump linear systems Markov processes Mathematical programming Mathematics Operational research and scientific management Operational research. Management science Phytopathology. Animal pests. Plant and forest protection Positive filter Positive systems Probability and statistics Probability theory and stochastic processes Protozoa. Invertebrates Sciences and techniques of general use Positive systems Positive filter Linear programming Markov jump linear systems l1-gain performance Markov process gain performance Existence condition Stability Discrete time systems Linear time l Modeling Standards Pest Filter regime switching model Discrete time Population dynamics Jump process Lyapunov function
ISSN:	0005-1098, 1873-2836
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