Connective Stability of Discontinuous Dynamic Systems

D.M. Stipanović and D.D. Šiljak
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D.M. Stipanović: Stanford University
D.D. Šiljak: Santa Clara University

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 3, No 13, 726 pages

Abstract: Abstract Connective stability is defined for interconnected systems under discontinuous structural perturbations. Stability conditions are established using Lipschitz and C1-type Lyapunov functions. A considerable flexibility of the conditions is achieved by assuming the functions to be parameter dependent. For efficient testing, the obtained stability conditions are converted to convex optimization problems via the theory of M-matrices.

Keywords: Connective stability; discontinuous systems; Filippov solution; vector Lyapunov functions; polytopic uncertainty; M-matrices (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1021215500258

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