Stability and Stabilization for CPS with Time-varying Delay and Random Deception

Stability analysis and stabilization control of cyber-physical systems (CPSs) are important and challenging problems. To this end, a novel system model based on Lyapunov-Krasovskii functional (LKF) containing certain double and triple integral terms is proposed to reflect not only the deterministic nonlinear characteristics, external disturbances and time-varying delays, but also the randomly occurring deceptions, which lead to the system mode switching. A Lyapunov-Krasovskii functional (LKF) containing certain double and triple integral terms is constructed to exploit merits of the presented single and double integral inequalities. By using stochastic analysis techniques, the addressed stability analysis and controller design problems are transformed to the convex optimization problems, which can be solved by a linear matrix inequality (LMI) approach. Illustrative examples are given to show the effectiveness of the designed controller.