Improved stability and stabilization design for networked control systems using new quadruple-integral functionals

•The stability and stabilization for networked control systems with network phenomena are studied.•By a refined delay decomposition approach, suitable Lyapunov-Krasovskii functionals are constructed to reduce conservatism.•Less conservative results are obtained via new integral inequalities.•Numerical examples and applications to practical systems demonstrate the effectiveness of the proposed approaches.

This paper investigates stability analysis and stabilization for networked control systems. By a refined delay decomposition approach, slightly different Lyapunov-Krasovskii functionals (LKFs) with quadruple-integral terms and augmented vectors containing triple-integral forms of state are constructed. New integral inequalities are proposed to estimate the cross terms from derivatives of the LKFs, which can be proved to offer tighter bounds than what the Jensen one produces theoretically. Moreover, the non-strictly proper rational functions in deriving process are fully handled via reciprocally convex approach. A state feedback controller design approach is also developed. Numerical examples and applications to practical power and oscillator systems demonstrate the superiority of the proposed criteria in conservatism reduction compared to some existing ones.