Exponential H∞ stabilization of chaotic systems with time-varying delay and external disturbance via intermittent control

This paper establishes an exponential H∞ stabilization approach for chaotic systems with time-varying delay and external disturbance via intermittent control. Based on the construction of a new Lyapunov-Krasovskii functional and the employment of the free-matrix-based integral inequality, some delay-dependent and delay-derivation-dependent criteria to ensure the exponential H∞ stabilization of the considered systems are derived in terms of linear matrix inequalities (LMIs). Different from previous works, the obtained criteria can be handled to fast and slow time-varying delay since an adjustable parameter ρ is introduced in the Lyapunov-Krasovskii functional, and the indirect proof strategy is used to discuss the H∞ performance and to reduce computational complexity. Moreover, the desired controller can reduce the effect of external disturbance to a prescribed attenuation level γ and its gain matrix can be easily given by solving LMIs. Finally, numerical simulation is carried out to show the validity and benefits of the proposed method.