Resilient decentralized stabilization of interconnected networked systems

Abstract

The problem of designing dynamic output-feedback schemes for a class of linear interconnected continuous-time systems employing networks in the feedback loop is reformulated in this paper as a resilient decentralized delay-dependent feedback stabilization where the subsystems are subjected to convex-bounded parametric uncertainties and additive feedback gain perturbations. Through the construction of appropriate Lyapunov-Krasovskii functional, we characterize resilient decentralized dynamic output-feedback stabilization schemes are designed such that the family of closed-loop feedback subsystems enjoys the delay-dependent asymptotic stability. The decentralized feedback gains are determined by convex optimization over LMIs. The developed results are tested on a representative example.