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This paper deals with the problem of iterative learning control for a class of uncertain nonlinear systems with unknown time-varying control coefficients. The uncertainties of the system are time-varying and may depend on states of the system. In the previous studies, it is only guaranteed that the tracking error converges to zero for each point in the iteration interval if the saturation control...
This paper deals with the problem of Hopf bifurcation stabilization for Rössler system. Röseeler system has two cures of equilibria, and Hopf bifurcation may occur at some points of the equilibria. We present a method of controlling the Hopf bifurcation by state feedback. The method ensures that the equilibria of the uncontrolled Rössler system are not changed and that all equilibria of the closed...
The paper considers the problem of global adaptive tracking for a class of uncertain nonlinear systems in which the uncertainty is impossible to be parameterized. With the help of the technique of unit partition in differential topology, a result on global approximation of function using neural networks is proved. Based the result, a method of global adaptive neural network control for the uncertain...
In this paper, the problem of stabilization of switched linear systems via saturated input is considered. Based on different switching law, two control strategies are presented. The first one is based on the minimum dwell time (MDT) switching together with saturated feedback. The second one is designed by state dependent switching and saturated feedback. Illustrative examples are presented to show...
The problem of uniform asymptotic stability of switched nonlinear time-varying perturbed systems is considered in this paper. First, we consider the uniform asymptotic stability of switched perturbed systems with mode-independent perturbation by using common Lyapunov function. Secondly, the same system with mode-depending perturbation is considered by using multiple Lyapunov functions. Then an example...
In this paper, synchronization-related problems of networked systems are considered. Simple necessary conditions are given with help of the estimated bounds of the eigenvalues of the coupled Laplacian. These conditions are easy to check since we mainly choose maximum and minimum vertex degrees and other easily obtained network parameters. Moreover, the effects of adding/removing edges of the original...
This paper deals with the problem of model reference adaptive tracking of a class of nonlinear systems with an uncertain parameter. The nonlinear term of the system is assumed to be either convex or concave with respect to the uncertain parameter. Based on a max-min method, an adaptive control law for the system is proposed. The adaptive control law is continuous. Boundedness of all signals of the...
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