Brief paper: On the algebraic characterization of invariant sets of switched linear systems

Authors:
P. Riedinger;M. Sigalotti;J. Daafouz
Affiliations:
CRAN, Nancy-Université, CNRS, 2, avenue de la forêt de Haye, 54516 Vandoeuvre-lès-Nancy Cedex, France;IECN, Nancy-Université, CNRS, BP 239, Vanduvre-lès-Nancy 54506, France and CORIDA, INRIA Nancy, France;CRAN, Nancy-Université, CNRS, 2, avenue de la forêt de Haye, 54516 Vandoeuvre-lès-Nancy Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 4
Cited 3

An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control

SIAM Journal on Control and Optimization
An invariance principle for nonlinear hybrid and impulsive dynamical systems

Nonlinear Analysis: Theory, Methods & Applications
Common Polynomial Lyapunov Functions for Linear Switched Systems

SIAM Journal on Control and Optimization
Stability Criteria for Switched and Hybrid Systems

SIAM Review

Geometry of the Limit Sets of Linear Switched Systems

SIAM Journal on Control and Optimization
Characterization and computation of disturbance invariant sets for constrained switched linear systems with dwell time restriction

Automatica (Journal of IFAC)
Graphic approach for the determination of the existence of sequences guaranteeing observability of switched linear systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

In this paper, a suitable LaSalle principle for continuous-time linear switched systems is used to characterize invariant sets and their associated switching laws. An algorithm to determine algebraically these invariants is proposed. The main novelty of our approach is that we require no dwell time conditions on the switching laws. By not focusing on restricted control classes we are able to describe the asymptotic properties of the considered switched systems. Observability analysis of a flying capacitor converter is proposed as an illustration.