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Abstract:
The solvability of certainty equivalence control problems for discrete-time multiagent systems over uniformly jointly connected switching networks relies on the stability/attractivity analysis for a class of perturbed switched systems with respect to a set of switching signals. To tackle this issue, in this article, a novel systematic and unified framework is established consisting of three key stability/attractivity results. First, the uniform global exponential stability for two dual cases of the nominal dynamics is analyzed in a unified way by checking the weak zero-state detectability from the limiting systems. Second, the uniform global exponential attractivity of the perturbed switched systems accommodating both first-order and zero-order time-varying perturbations is studied without resorting to any Lyapunov function for the entire perturbed switched systems. Third, the uniform global kappa-exponential stability for a class of cascaded switched systems is investigated. These stability/attractivity results together lay the foundation to thoroughly solve two kinds of typical certainty equivalence control problems, and also improve two specific cooperative control designs. Moreover, a relaxed dwell-time condition is considered, which makes the obtained results tolerable in the extreme case of instantaneous link failure and restoration. Finally, the control performances are shown by numerical simulations.
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IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN: 0018-9286
Year: 2023
Issue: 12
Volume: 68
Page: 7660-7675
6 . 2
JCR@2023
6 . 2 0 0
JCR@2023
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 1
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1