Connective stability of discontinuous dynamic systems

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....

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Bibliographic Details
Published in:Journal of optimization theory and applications 2002-12, Vol.115 (3), p.711-726
Main Authors: STIPANOVIC, D. M, SILJAK, D. D
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Convex analysis
Equilibrium
Exact sciences and technology
Inequality
Optimization
System theory
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Summary: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.
ISSN:0022-3239
1573-2878
DOI:10.1023/A:1021215500258