Finite-time input-to-state stability and optimization of switched nonlinear systems

Xiaoli Wang; Chuntao Shao

doi:10.1115/1.4024006

Finite-time input-to-state stability and optimization of switched nonlinear systems

School of Information Science and Engineering, Harbin Institute of Technology Weihai

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

3 Scopus citations

Abstract

In this paper, we address the (uniform) finite-time input-to-state stability problem for switched nonlinear systems. We prove that a switched nonlinear system has a useful finite-time input-to-state stability property under average dwell-time switching signals if each constituent subsystem has finite-time input-to-state stability. Moreover, we prove the equivalence between the optimal costs for the switched nonlinear systems and for the relaxed differential inclusion.

Original language	English
Article number	041018
Journal	Journal of Dynamic Systems, Measurement and Control
Volume	135
Issue number	4
DOIs	https://doi.org/10.1115/1.4024006
State	Published - 2013
Externally published	Yes

Keywords

Finite-time control
Input-to-state stability (ISS)
Lyapunov function
Switched systems

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10.1115/1.4024006

Cite this

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abstract = "In this paper, we address the (uniform) finite-time input-to-state stability problem for switched nonlinear systems. We prove that a switched nonlinear system has a useful finite-time input-to-state stability property under average dwell-time switching signals if each constituent subsystem has finite-time input-to-state stability. Moreover, we prove the equivalence between the optimal costs for the switched nonlinear systems and for the relaxed differential inclusion.",

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AB - In this paper, we address the (uniform) finite-time input-to-state stability problem for switched nonlinear systems. We prove that a switched nonlinear system has a useful finite-time input-to-state stability property under average dwell-time switching signals if each constituent subsystem has finite-time input-to-state stability. Moreover, we prove the equivalence between the optimal costs for the switched nonlinear systems and for the relaxed differential inclusion.

KW - Finite-time control

KW - Input-to-state stability (ISS)

KW - Lyapunov function

KW - Switched systems

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M3 - 文章

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ER -

Finite-time input-to-state stability and optimization of switched nonlinear systems

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Keywords

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