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This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the amplitude of a plasma instability proposed by Pikovski, Rabinovich and Trakhtengerts. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive a new ellipsoidal estimate and a cylindrical domain of the globally exponentially...
To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the laser-plasma interaction. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive some new...
This paper is concerned with positive invariant set and synchronization controlling for Hadley chaotic system. A detailed spheroid estimation of the globally exponentially attractive set is derived for the Hadley chaotic system. In addition, linear feedback control with two inputs is proposed to realize the globally exponential synchronization of two Hadley chaotic systems based on matrix theory....
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