A feedback control method and an adaptive feedback control method are proposed for Chua’s circuit chaos system, which is a simple 3D autonomous system. The asymptotical stability is provenwith Lyapunov theory for both of the proposedmethods, and the system can be dragged to one of its three unstable equilibrium points respectively. Simulation results show that the proposed methods are valid, an...

Abstract: Pole assignment by feedback control of the second order coupled singular distributed parameter systems is discussed via functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This research is theoretically important for studying the stab...

This paper proposes a robust adaptive control method for synchronization of uncertain chaotic neural networks with mixed delays. Uncertainty and disturbance in the networks are estimated by fuzzy disturbance observer without any prior information about them. The proposed control scheme with adaptive laws is derived based on Lyapunov–Krasovskii stability theory to guarantee the globally asymptot...

In this paper, we study the stability of a fractional order delayed predator-prey model. By using the Laplace transform, we introduce a characteristic equation for the above system. It is shown that if all roots of the characteristic equation have negative parts, then the equilibrium of the above fractional order predator-prey system is Lyapunov globally asymptotical stable. An example is given...

Two important practical aspects of robot manipulators control are the difficulty of obtaining accurate velocity measurements and the uncertainty of parameters of the dynamical model. To deal with these problems, several adaptive output feedback tracking controllers have been proposed. In this paper, it is proved that, as long as the regression matrix is persistenly exciting, uniform global asym...

⎯ In our paper, the properties of the simplest Takagi-Sugeno (T-S) fuzzy controller are first investigated. Next, based on the well-known Popov criterion with graphical interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy control system. Since this sufficient condition is presented in the frequency ...

In this article a detailed overview of Lyapunov stability of linear continuous systems is presented. The conditions for the existence of the solutions for both regular and irregular singular linear systems are introduced. To guarantee an asymptotical stability for linear continuous singular systems and to provide an impulse-free motion of the system, new stability conditions are analyzed. In th...

We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency of reverse transcriptase inhibitors and consider the pharmacological delay associated to the control. Finally, we propose and analyze an optimal control pro...

Considering the impacts of time delays and different kinds stochastic perturbations, we propose two three-species delayed cooperative systems with perturbations in this paper. We establish sufficient criteria asymptotical stability probability by constructing a neutral differential equation some suitable functionals. The to system dynamics are revealed numerical simulations at end.

This work proposes a neural-fuzzy sliding mode control scheme for a hydro-turbine speed governor system. Considering the assumption of elastic water hammer, a nonlinear mode of the hydro-turbine governor system is established. By linearizing this mode, a sliding mode controller is designed. The linearized mode is subject to uncertainties. The uncertainties are generated in the process of linear...