On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems

Melania M. Moldovan () and M. Seetharama Gowda ()
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Melania M. Moldovan: University of Maryland, Baltimore County
M. Seetharama Gowda: University of Maryland, Baltimore County

Chapter Chapter 25 in Nonlinear Analysis and Variational Problems, 2010, pp 415-429 from Springer

Abstract: 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.

Keywords: Lyapunov Function; Linear Complementarity Problem; Euclidean Jordan Algebra; Positive Determinant; Proper Cone (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_25

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DOI: 10.1007/978-1-4419-0158-3_25

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