Stability and Instability Matrices for Linear Evolution Variational Inequalities
| Autor: | D. Goeleven, B. Brogliato |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Lyapunov stability
Dynamical systems theory Mathematical analysis Instability Computer Science Applications Linear dynamical system Discrete system Nonlinear system Differential inclusion Control and Systems Engineering Variational inequality Applied mathematics Electrical and Electronic Engineering Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 49:521-534 |
| ISSN: | 0018-9286 |
| Popis: | This paper deals with the characterization of the stability and instability matrices for a class of unilaterally constrained dynamical systems, represented as linear evolution variational inequalities (LEVI). Such systems can also be seen as a sort of differential inclusion, or (in special cases) as linear complementarity systems, which in turn are a class of hybrid dynamical systems. Examples show that the stability of the unconstrained system and that of the constrained system, may drastically differ. Various criteria are proposed to characterize the stability or the instability of LEVI. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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