首页|On robust set stability and set stabilization of probabilistic Boolean control networks *
On robust set stability and set stabilization of probabilistic Boolean control networks *
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NSTL
Elsevier
Under the semi-tensor product method, this paper investigates the robust set stability and robust set stabilization problems for a class of probabilistic Boolean control networks (PBCNs) with disturbances. First, an algorithm to determine the largest robust invariant set (LRIS) of a given set for a PBN with probability one is proposed, and the necessary and suf-ficient conditions to detect whether the PBN is globally finite-time stable to this invariant set with probability one are established. Second, the PBNs with control inputs are consid-ered, and an algorithm for the largest robust control invariant set (LRCIS) with probability one is provided, based on which, some necessary and sufficient conditions for finite-time robust set stabilization with probability one of PBCNs are presented. Furthermore, the de-sign scheme of time-optimal state feedback stabilizers via antecedence solution technique is derived. The study of illustrative examples shows the effectiveness of the obtained new results.(c) 2022 Elsevier Inc. All rights reserved.
Probabilistic Boolean control networksThe largest robust invariant setRobust set stabilityRobust set stabilizationSemi-tensor product of matricesSTATE-FEEDBACK STABILIZATION
NSTL
Elsevier
