Dissipativity Analysis of Linear State/Input Delay Systems

Guifang Cheng, Zhishuai Ding and Jianyin Fang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper discusses dissipativity problem for system of linear state/input delay equations. Motivated by dissipativity theory of control systems, we choose a new quadratic supply rate. Using the concept of dissipativity, necessary and sufficient conditions for the linear state/input delay systems to be dissipative and exponentially dissipative are derived. The connection of dissipativity with stability is also considered. Finally, passivity and finite gain are explored, correspondingly. The positive‐real and bounded‐real lemmas are derived.

Date: 2012
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https://doi.org/10.1155/2012/458243

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:458243

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