V. Sundarapandian

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This paper is a geometric study of the observer design for discrete-time nonlinear systems. First,, we obtain necessary and sufficient conditions for local exponential observers for Lyaupnov stable discrete-time nonlinear systems. We also show that the definition of local exponential observers can be considerably weakened for neutrally stable discrete-time(More)
—This paper investigates the global chaos synchronization of identical four-scroll attractors (Liu and Chen, 2004), identical four-wing attractors (Liu, 2009) and non-identical four-scroll and four-wing attractors by active nonlinear control. The stability results derived in this paper for the global chaos synchronization using active nonlinear control are(More)
—This paper investigates the problem of global chaos synchronization of identical Pehlivan chaotic systems (Pehlivan and Uyaroglu, 2010) by sliding mode control. The stability results derived in this paper for the synchronization of identical Pehlivan systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for(More)
—This paper investigates the problem of global chaos synchronization of identical hyperchaotic Qi systems (2008) by sliding mode control. The stability results derived in this paper for the synchronization of identical hyperchaotic Qi systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these(More)
Local asymptotic stability of nonlinear systems with real-parametric uncertainty or disturbance is one of the important problems in control systems literature. In this paper, we investigate this problem for nonlinear systems with time-varying disturbance. We assume that the disturbance vector is generated by an exosystem, which is neutrally stable. Thus,(More)