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The sign of unknown input coefficients is assumed to be known in most papers about the input uncertainties. In this paper, a Nussbaum gain method is adopted to cope with the situation that both the sign and the value of input are unknown. And the unknown parameters can be estimated under the situation of unknown sign of control. At last, numerical simulations are done to show the effectiveness of...
Impulsive control of a chaotic system has a great potential for applications in various fields. Therefore, the robustness and stability of impulsive synchronization is very important. In this paper, we introduce a new method for analyzing the robustness and stability of impulsive synchronization with parametric uncertainties and mismatch. By analyzing the oscillation process of the error between two...
This paper presents a general impulsively-coupled complex dynamical network (ICCDN) model with parametric uncertainty and time-varying delays. Robust synchronization of the ICCDN with uncertainty and delays is investigated. Based on the Lyapunov stability theory, delay-independent synchronization conditions for the ICCDN with uncertainty and delays are obtained. A systematic-design procedure is presented,...
Robust adaptive control method is proposed for the generalized projective synchronization (GPS) and parameters identification of a class of uncertain chaotic systems with bounded time-varying unknown parameters. Based on Lyapunov stability theory, the robust adaptive control law without system parameters and the parameters identification scheme are proposed. The proposed scheme can successfully generalized...
In this paper, the robust synchronization of two identical Lu hyperchaotic systems with parametric uncertainties is investigated. The Lu hyperchaotic systems are represented by the T-S fuzzy models with a small number of fuzzy if-then rules exactly. Then, based on the T-S fuzzy Lu hyperchaotic systems, a fuzzy controllers are designed via parallel distributed compensation (PDC) and exact linearization...
In this paper, a hybrid control strategy, variable universe adaptive fuzzy sliding mode control, is proposed to realize the chaos synchronization of two gap junction coupled FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. According to the Lyapunov stability theory, the stability of the closed error system is guaranteed. The control scheme is robust to the uncertainties such as...
In this study, a robust algorithm with a fuzzy sliding model controller (FSMC) is used to synchronization of a Duffing-Holmes system. The robust algorithm is an output factor of the fuzzy sliding model controller. The control rules of FSMC are based on the Lyapunov stability theorem. The objective of synchronization is to study a master-and-slave system to be synchronized with both uncertainties and...
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