Finite-time $${{H}_{\infty }}$$H∞ stability analysis of uncertain network-based control systems under random packet dropout and varying network delay

This paper studies the finite-time $${{H}_{\infty }}$$H∞ stability analysis of uncertain network-based control systems under random data packet dropout and varying network delay. The system considered as an uncertain discrete-time stochastic system benefits from Bernoulli distributed white sequence technique for modeling the packet dropout. Sufficient conditions by means of a state feedback controller are derived to suppress the inherent effects of data packet dropout and network delay simultaneously. Simulations are provided to illustrate the feasibility and applicability of the control algorithm proposed in this paper.