This paper is concerned with the control of a class of chaotic systems using adaptive backstepping, which is a systematic design approach for constructing both feedback control laws and associated Lyapunov functions. Firstly, we show that many chaotic systems as paradigms in the research of chaos can be transformed into a class of nonlinear systems in the so-called nonautonomous “strict-feedbac...

In this paper, we study the existence and stability of traveling waves in lattice dynamical systems, in particular, in lattice ordinary di erential equations (lattice ODE's) and in coupled map lattices (CML's). Instead of employing the moving coordinate approach as for partial di erential equations, we construct a local coordinate system around a traveling wave solution of a lattice ODE, analog...

The main objective of this article is to develop Bayesian optimal control for a class of nonautonomous linear stochastic discrete time systems. By taking into consideration that the disturbances in the system are given by a random vector with components belonging to an exponential family with a natural parameter, we prove that the Bayes control is the solution of a linear system of algebraic eq...

The coexistence and global stability of population models are of the interesting subjects in mathematical biology. Many authors have argued that the discrete time models are governed by differential equations which are more appropriate than the continuous ones to describe the dynamics of population when the population has nonoverlapping generations, a lot has been done on discrete Lotka-Volterr...

Yaoping Chen, Fengde Chen, and Zhong Li College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China Correspondence should be addressed to Fengde Chen, [email protected] Received 6 May 2008; Revised 8 September 2008; Accepted 22 November 2008 Recommended by Juan Jose Nieto We study the dynamic behaviors of a general discrete nonautonomous system of plankton allel...