Decomposable dissipativity and related stability for discrete-time switched systems

Bin Liu; David J. Hill

doi:10.1109/TAC.2011.2121430

Decomposable dissipativity and related stability for discrete-time switched systems

Bin Liu, David J. Hill

Research output: Contribution to journal › Article › Research › peer-review

43 Citations (Scopus)

Abstract

This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.

Original language	English
Article number	5721791
Pages (from-to)	1666-1671
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2011.2121430
Publication status	Published - Jul 2011
Externally published	Yes

Keywords

Decomposable dissipativity
discrete-time switched systems
dissipativity
main/subsidiary supply rate
stability

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10.1109/TAC.2011.2121430

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title = "Decomposable dissipativity and related stability for discrete-time switched systems",

abstract = "This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.",

keywords = "Decomposable dissipativity, discrete-time switched systems, dissipativity, main/subsidiary supply rate, stability",

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note = "Funding Information: Manuscript received September 30, 2010; revised November 30, 2010, February 03, 2011, and February 04, 2011; accepted February 16, 2011. Date of publication February 28, 2011; date of current version July 07, 2011. This work was supported by the ARC-Australia (DP0881391) and by Hunan University of Technology, China, under the NSFC-China ( 60874025). Recommended by Associate Editor J. Daafouz.",

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AB - This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.

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Decomposable dissipativity and related stability for discrete-time switched systems

Abstract

Keywords

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