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Dissipativity Analysis of Linear State/Input Delay Systems

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  • Guifang Cheng
  • Zhishuai Ding
  • Jianyin Fang

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.

Suggested Citation

  • Guifang Cheng & Zhishuai Ding & Jianyin Fang, 2012. "Dissipativity Analysis of Linear State/Input Delay Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, May.
    • Handle: RePEc:hin:jnlaaa:458243
    DOI: 10.1155/2012/458243
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