In this paper, global exponential stabilization for chaotic brushless DC motor(BLDCM) is described. Based on Lyapunov theorem and stability theory, we design two controller to realize the global stabilization of BLDCM with exponential convergence rate. Numerical simulations suggest that the motor with the two controllers can converge efficiently.

In this paper a convex optimization approach to design a robust state feedback control is proposed for DC-DC converter systems with mixed delays. Based on the Lyapunov theory, some required sufficient conditions are established in terms of delay-dependent linear matrix inequalities for the stochastic stability and stabilization of the considered system using some free matrices. The desired cont...

Abstract This paper studies the stabilization to an inverted pendulum under a delayed proportional-derivative-acceleration (PDA) feedback, which can be used understand human balance in quiet standing. The closed-loop system is described by neutral delay differential equation (NDDE). optimal feedback gains (OFGs) that make exponential decaying rate maximized are determined when characteristic of...

Stability analysis of mathematical models of hematopoiesis (blood cell production process), described by differential equations with delay, needs to locate eigenvalues of characteristic equations that are usually exponential polynomial functions with delay-dependent coefficients. It is then more complicated than for ordinary differential equations to determine conditions for all roots to have n...

In this paper, finite-time stability and stabilization problems for a class of linear time-delay systems are studied. Firstly, the concepts of finite-time stability and finite-time stabilization are extended to linear time-delay systems. Then, based on methodology of linear matrix inequalities and the Lyapunov-like functions method, some sufficient conditions under which the linear time-delay s...

This paper gives sufficient conditions for finite time stability and stabilization for perturbed nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given...