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.
Original language | English (US) |
---|---|
Pages (from-to) | 711-726 |
Number of pages | 16 |
Journal | Journal of Optimization Theory and Applications |
Volume | 115 |
Issue number | 3 |
DOIs | |
State | Published - Dec 2002 |
Externally published | Yes |
Keywords
- Connective stability
- Filippov solution
- M-matrices
- discontinuous systems
- polytopic uncertainty
- vector Lyapunov functions
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics
- Management Science and Operations Research