The global exponential stability for a class of uncertain delayed neural networks (DNNs) of neutral type with mixed delays is investigated in this paper. Delay-dependent and delay-independent stability criteria are proposed to guarantee the robust stability and uniqueness of equilibrium point of DNNs via linear matrix inequality and Razumikhin-like approaches. Two classes of perturbations on weighting matrices are considered in this paper. Some numerical examples are illustrated to show the effectiveness of our results.

The global exponential stability and robust H_∞ control for discrete switched systems with interval time-varying delay under an arbitrary switching signal is considered in this paper. Linear Matrix Inequality (LMI)-based conditions are proposed to guarantee the global stability and H_∞ control for the switched system with parametric perturbations. Some non-negative inequalities are used to reduce the conservativeness of systems. Finally, some numerical examples are illustrated to show the main results.

A 3-D new two-scroll chaotic attractor with three quadratic nonlinearities is investigated in this paper. First, the qualitative and dynamical properties of the new two-scroll chaotic system are described in terms of phase portraits, equilibrium points, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. We show that the new two-scroll dissipative chaotic system has three unstable equilibrium points. As an engineering application, global chaos control of the new two-scroll chaotic system with unknown system parameters is designed via adaptive feedback control and Lyapunov stability theory. Furthermore, an electronic circuit realization of the new chaotic attractor is presented in detail to confirm the feasibility of the theoretical chaotic two-scroll attractor model.

In this paper, global uniform asymptotic stabilizability for a class of uncertain systems with multiple time-varying delays is considered. Some less conservative criteria for global uniform asymptotic stabilizability of such systems via linear control is provided. A numerical example is given to illustrate our main results.