A polynomial approach for stability analysis of switched systems
- Resource Type
- Authors
- Eduardo Mojica-Nava; Alain Gauthier; Nicanor Quijano; N. Rakoto-Ravalontsalama
- Source
- Systems & Control Letters. 59:98-104
- Subject
- Lyapunov function
Polynomial
General Computer Science
Mechanical Engineering
Stability (learning theory)
Nonlinear control
Topology
symbols.namesake
Control and Systems Engineering
Control theory
Hybrid system
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
symbols
Point (geometry)
Kharitonov's theorem
Electrical and Electronic Engineering
Representation (mathematics)
Mathematics
- Language
- ISSN
- 0167-6911
A polynomial approach to deal with the stability analysis of switched non-linear systems under arbitrary switching using dissipation inequalities is presented. It is shown that a representation of the original switched problem into a continuous polynomial system allows us to use dissipation inequalities for the stability analysis of polynomial systems. With this method and from a theoretical point of view, we provide an alternative way to search for a common Lyapunov function for switched non-linear systems.