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On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • Melania M. Moldovan

    (University of Maryland, Baltimore County)

  • M. Seetharama Gowda

    (University of Maryland, Baltimore County)

Abstract

Using duality, complementarity ideas, and Z-transformations, in this chapter we discuss equivalent ways of describing the existence of common linear/quadratic Lyapunov functions for switched linear systems. In particular, we extend a recent result of Mason–Shorten on positive switched system with two constituent linear time-invariant systems to an arbitrary finite system.

Suggested Citation

  • Melania M. Moldovan & M. Seetharama Gowda, 2010. "On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 415-429, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0158-3_25
    DOI: 10.1007/978-1-4419-0158-3_25
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    Cited by:

    1. Zhai, Ding & Lu, An-Yang & Li, Jing-Hao & Zhang, Qing-Ling, 2016. "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 767-792.

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