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A Bounded Real Lemma for Discrete‐Time M arkovian Jump Singular Systems
Author(s) -
Wei Jumei,
Ma Rui,
Mu Xiaowu
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.665
Subject(s) - bounded function , discrete time and continuous time , lemma (botany) , mathematics , jump , markov process , matrix (chemical analysis) , computation , singular solution , jump process , linear matrix inequality , mathematical analysis , mathematical optimization , algorithm , ecology , statistics , physics , poaceae , quantum mechanics , biology , materials science , composite material
This paper presents a bounded real lemma for discrete‐time M arkovian jump singular systems. First, a new necessary and sufficient condition is proposed in terms of a strict linear matrix inequality, which guarantees the stochastic admissibility of the unforced Markovian jump singular systems. Then, a bounded real lemma for discrete‐time M arkovian jump singular systems is derived. It is also proven that the bounded real lemma can be described by a strict matrix inequality. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory. The results are more tractable and reliable in numerical computations than existing conditions.