This paper deals with the celebrated chaotic DuÆng equation with external control force. It is shown that Lyapunov's Direct Method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling...

In this paper we study the existence and stability of linear invariant manifolds in a network of coupled identical dynamical systems. Symmetry under permutation of different units of the network is helpful to construct explicit formulae for linear invariant manifolds of the network, in order to classify them, and to examine their stability through Lyapunov’s direct method. © 2002 Elsevier Scien...

A new approach to adaptive model reference control, based on Lyapunov's direct method, is presented. A design procedure for single output systems has been developed and the results verified by computer simulation. The algorithm presented in this paper guarantees asymptotic stability, provided that the transfer function of the equivalent error system is strictly positive real. Since the direct L...

In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the presen...

This paper proposes an adaptive robust control scheme for free-flying space robots. In order to simply and effectively control free-flying space robots subject t o parameter uncertainty and disturbances, to avoid the measurement of the base(space vehicle) acceleration, and t o eliminate the assumption that the uncertainty bounds must be a priori known in the conventional robust control approach...

A neuro fuzzy control algorithm for planar robotic manipulators is developed in this paper. This control algorithm is able to handle uncertainties, disturbances or unmodeled dynamics. Asymptotic stability of the equilibrium state of the control system is shown by use of direct Lyapunov method and Barbalat’s Lemma. A series of simulations confirms the algorithm goodness. Key-Words: fuzzy control...

The method of Lyapunov functions (Lyapunov's second or direct method) was originally developed for studying the stability of a xed point of an autonomous or non-autonomous diierential equation. It was then extended from xed points to sets, from diierential equations to dynamical systems and to stochastic diierential equations. We go one step further and develop Lyapunov's second method for rand...

This talk deals with the control and regulation by integral controllers for the nonlinear systems governed by scalar quasi-linear hyperbolic partial differential equations. Both the control input and the measured output are located on the boundary. The closed loop stabilization of the linearized model with the designed integral controller is proved first by using the method of spectral analysis...