Abstract. In this paper, an adaptive learning control approach is presented for the hybrid functional projective synchronization (HFPS) of different chaotic systems with fully unknown periodical time-varying parameters. Differential-difference hybrid parametric learning laws and an adaptive learning control law are constructed via the Lyapunov–Krasovskii functional stability theory, which make ...

A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not require the stability of system is introduced. It leads to presentation stability/instability theorems. By evaluating at initial conditions depending on fundamental matrix we are able present necessary and sufficient expressed exclusively in terms delay Lyapunov for integral systems. Some examples illustrate...

In this short note, we derive dissipative conditions with slack variables for a linear coupled differentialdifference (CDDS) via constructing a Krasovskii functional. The approach can be interpreted as a generalization of the Finsler Lemma approach for standard LTI systems proposed previously in de Oliveira & Skelton (2001). We also show that the proposed slack variables scheme is equivalent to...

This paper deals with the synchronization control problem for the uncertain chaotic neural networks with randomly occurring uncertainties and randomly occurring control gain fluctuations. By introducing an improved Lyapunov–Krasovskii functional and employing reciprocally convex approach, a delaydependent non-fragile output feedback controller is designed to achieve synchronization with the hel...

The purpose of this paper is to present an improved version of the time-delay system state feedback control design method. Based on the Lyapunov-Krasovskii functional the delayedindependent stability condition is derived using the linear matrix inequality techniques. The results obtained with a numerical example are presented to compare limitations in the system structure. Since the presented m...

The robust stability of a class of Hopfield neural networks with multiple delays and parameter perturbations is analysed. The sufficient conditions for the global robust stability of equilibrium point are given by way of constructing a suitable Lyapunov-Krasovskii functional. The conditions take the form of linear matrix inequality (LMI), so they are computationally efficient. In addition, the ...

This paper deals with the problem of delay-dependent stability and the stabilization of Takagi-Sugeno (T-S) fuzzy systems with a time-varying delay while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF) combining the introduction of free-single matrices. A memory feedback control is also used in case the delay mat...

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily ...