Connective stability is defined for discontinuous interconnected system under structural perturbations. Stability conditions are obtained using both Lipschitz and C1-type vector Liapunov functions. The functions are chosen to be parameter-dependent in order to handle uncertainties in the interconnections. Connective stability conditions are converted to convex optimization problems via theory of M-matrices. As an illustration of the obtained results it is shown that generalized matching conditions apply to stabilization of systems with piecewise-continuous interconnections.
|Original language||English (US)|
|Number of pages||8|
|Journal||Proceedings of the American Control Conference|
|State||Published - 2001|
ASJC Scopus subject areas
- Electrical and Electronic Engineering