Abstract
Integral input-to-state stability (iISS) for delayed networks control systems (DNCS) is studied. Based on Kirchhoff’s matrix tree theorem in graph theory, a novel Lyapunov-Krasovaskii functional with integral terms is constructed via the Lyapunov function of each node control system in DNCS and its corresponding topological structure. According to Lyapunov method, some analysis and inequality skills, we raise two sufficient criterions assuring iISS for DNCS, which are the Lyapunov-type criterion and the coefficient-type criterion, respectively. Then, our approach is used in some classical DNCS. Finally, some numerical examples and simulation process are given to verify the effectiveness and applicability of the theoretical results.
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