A Bounded Real Lemma for Discrete‐Time Markovian Jump Singular Systems. Issue 1 (16th January 2013)

• Record Type: Journal Article
• Authors: Wei, Jumei; Ma, Rui; Mu, Xiaowu
• Is Part Of: Asian journal of control. Volume 16:Issue 1(2014:Jan.)
• Page Start: 303
• Page End: 307
• Publication Date: 2013-01-16
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.665
• Languages: English
• ISSNs: 1561-8625

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>This paper presents a bounded real lemma for discrete‐time Markovian 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 Markovian 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.</p> </abstract>