Dissipativity Analysis of Linear State/Input Delay Systems

Guifang Cheng, Zhishuai Ding and Jianyin Fang

Abstract and Applied Analysis, 2012, vol. 2012, 1-14

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:458243

DOI: 10.1155/2012/458243

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