Aperiodic Sampled-Data Control for Anti-Synchronization of Chaotic Nonlinear Systems Subject to Input Saturation

This paper studies the aperiodic sampled-data (SD) control anti-synchronization issue of chaotic nonlinear systems under effects input saturation. At first, to describe simultaneous existence SD pattern and saturation, a closed-loop system model is established. Then, make analysis, relaxed sampling-interval-dependent Lyapunov functional (RSIDLF) constructed for resulting system. Thereinto, positive definiteness requirement RSIDLF abandoned. Due indefiniteness RSIDLF, discrete-time method (DTLM) then used guarantee local stability trivial solutions modeled Furthermore, two convex optimization schemes are proposed expand allowable initial area (AIA) maximize upper bound sampling period (UBSP). Finally, examples provided illustrate superiority over previous methods in expanding AIA enlarging UBSP.