Controllability of Fractional-order Dynamical System with Time Varying-Delays

Relative controllability of fractional dynamical systems with delays in control

Keywords: Relative controllability Time delays Distributed delays Fractional derivative Mittag–Leffler function a b s t r a c t This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the...

Chaotic Synchronization of Fractional-Order Chua’s System with Time-Varying Delays

Chaos in fractional-order Chua’s system with time-varying delays is illustrated by presenting its waveform graphs, states patriots and bifurcation graphs. Chaotic synchronization system for such system is constructed. the bifurcation graph with respect to the linear coupled parameter k is presented, and the numerical experiments are presented. The study shows that the chaos in such fractional-o...

FINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay

The synchronization problem for a class of fractional-order complex dynamical networks with and without time-varying delay is investigated in this paper. By utilizing generalized Barbalat’s lemma, Razumikhin-type stability theory and matrix inequality technique, some sufficient criteria ensuring synchronization under pinning control and pinning adaptive feedback control are derived. Finally, th...

Relative controllability of fractional dynamical systems with multiple delays in control