This paper focuses on the observer-based passive fuzzy controller design problem for uncertain Takagi-Sugeno (T-S) fuzzy models with time-delay and multiplicative noise. For stability analysis and synthesis, the sufficient conditions are derived via Lyapunov-krasovskii function and Itô’s formula in terms of Linear Matrix Inequalities (LMIs). In addition, the passivity theory is employed to disc...

Cellular Neural Networks (CNN) are artificial neural networks displaying multidimensional arrays of cells and local interconnections among the cells. Since in a CNN all the cells are identically, the qualitative behavior of the entire network can be studied via stability results obtained for the interconnected systems. The finite switching speed of amplifiers and communications time between cel...

In practice, most physical chaotic systems are inherently with unknown nonlinearities, and conventional adaptive control for such chaotic systems typically faces with formidable technical challenges. As a better alternative, we propose using the recurrent high-order neural networks to identify and control the unknown chaotic systems, in which the Lyapunov synthesis approach is utilized for tuni...

This paper is devoted to the analysis of a maturity structured system of hematopoietic stem cell (HSC) populations in the bone marrow. The model is a system of differential equations with several time delays. We discuss the stability of equilibria and perform the analysis of Hopf bifurcation. More precisely, we first obtain a set of improved sufficient conditions ensuring the global asymptotica...

An effective way to deal with uncertainties in control of uncertain switched linear systems is so-called guaranteed cost control (GCC). Existing works on the GCC of these systems only provide asymptotical stability analysis. This paper focuses on the GCC to provide exponential stability in these systems. To this end, we design a new switching strategy and a state-feedback controller to exponent...

The paper deals with the numerical asymptotical mean-square stability of split-step ? methods for stochastic pantograph differential equations, which is generalization deterministic equations. Instead quasi-geometric mesh, a fully-geometric widely used problems, employed. A useful technique, limiting equation, problems also extended to based on Kronecker product. Under exact condition, region d...

In this paper, a time-varying controller is developed for Euler-Lagrange systems with bounded disturbances. A mapping strategy designed to make the convergence time of system achieve at an arbitrarily pre-assigned finite time. The selection period independent initial conditions, and performances free chattering. To be specific, proposed constructed in two steps: Firstly, common PD ensure asympt...

In this paper, we present error corrected Euler methods for solving stiff initial value problems, which not only avoid unnecessary iteration process that may be required in most implicit methods but also have such a good stability as all implicit methods possess. The proposed methods use a Chebyshev collocation technique as well as an asymptotical linear ordinary differential equation of first-...

This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two n...

With system parameters falling into a certain area, the permanent magnet synchronous motor (PMSM) is experiencing chaotic behavior which threatens the secure and stable operation of drive system. To control the undesirable chaos in PMSM, an adaptive dynamic surface control (DSC) law is first designed, which overcomes the problem of “explosion of terms” associated with the traditional backsteppi...