Connective stability of discontinuous dynamic systems

D. M. Stipanović, D. D. Šiljak

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)711-726
Number of pages16
JournalJournal of Optimization Theory and Applications
Issue number3
StatePublished - Dec 2002
Externally publishedYes


  • Connective stability
  • Filippov solution
  • M-matrices
  • discontinuous systems
  • polytopic uncertainty
  • vector Lyapunov functions

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics


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