Characterization and computation of robust invariant sets for switching systems under dwell-time consideration

This paper introduces the concept of Disturbance-Dwell-Time invariance (DDT-invariance) for constrained switching systems with additive disturbance under dwell-time switching. This concept is useful for the characterization of invariant sets for such systems. Necessary and sufficient conditions for DDT-invariance of a set are also provided and algorithms for the numerical computation of the minimal and maximal constraint admissible convex DDT-invariant sets are proposed.