Brief paper: Vector L2-gain and stability of feedback switched systems

Authors:
Jun Zhao;David J. Hill
Affiliations:
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education of China, Northeastern University, Shenyang, 110004, PR China and Department of Information Engineering, Research ...;Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
Cited 0

L2-Gain and Passivity Techniques in Nonlinear Control

L2-Gain and Passivity Techniques in Nonlinear Control
Feedback Systems: Input-Output Properties

Feedback Systems: Input-Output Properties
Stability and L2-gain analysis for switched delay systems: A delay-dependent method

Automatica (Journal of IFAC)
Paper: Stability results for nonlinear feedback systems

Automatica (Journal of IFAC)

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Abstract

A concept of vector L"2-gain is presented for switched systems. Each subsystem does not necessarily have L"2-gain in the classic sense but is assumed to have individual L"2-gain during any time interval when the subsystem is active. Stability is derived from this vector L"2-gain under some constraints on inactive storage functions. Asymptotic stability is also achieved if in addition a small-time norm-observability property is imposed. A small-gain theorem for feedback switched systems with vector L"2-gain assured for each subsystem is established. The small-gain condition is given in terms of the L"2-gains of the coupled active subsystems and the changes of inactive storage functions. A switching law design method is also given to achieve vector L"2-gain.