IEEE Access (Jan 2021)

Exponential Quasi-Incremental-(Q, S, R)- Dissipativity and Practically Incremental Stability for Switched Nonlinear Systems

  • Hongbo Pang,
  • Shuo Liu

DOI
https://doi.org/10.1109/ACCESS.2021.3123282
Journal volume & issue
Vol. 9
pp. 146414 – 146421

Abstract

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This paper addresses the problems of exponentially quasi-incremental-(Q, S, R)-dissipativity and practically incremental stability analysis for a switched nonlinear system. First, exponential quasi-incremental-(Q, S, R)-dissipativity for switched nonlinear systems is first defined. Each subsystem may be not exponentially quasi-incremental-(Q, S, R)- dissipative. Based on this dissipativity property, practically incremental stability is obtained for switched nonlinear systems. Second, a state-dependent switching law is designed to establish exponential quasi-incremental-(Q, S, R)- dissipativity criterion. Finally, the effectiveness of the obtained results is verified by a numerical example.

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