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In this paper, computational results of robust positive invariant (RPI) sets for switched systems with amplitude bounded, persistent, additive disturbance and average dwell time (ADT) switching are developed. Towards this end, new idea for facilitating the analysis of the ADT switching signal is conceptualized by a series of predefined stages and sufficient conditions for the existence of an ADT RPI...
The exact computational problem of λ -constrained admissible average dwell time (CAADT) contractive set and CAADT invariant set for discrete-time switched systems with and without persistent amplitude-bounded additive disturbance is investigated in this paper. The considered switching signal satisfies average dwell time (ADT) and is discussed in terms of stage which is both length-based and sequence-based...
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