In this letter, the fixed-time stabilization of a class of dynamical systems is investigated. By using a fixed-time stability lemma and feedback control, new algebraic criteria ensuring the fixed-time stabilization of the dynamical systems under consideration are established. The obtained results are then applied to stabilize a chaotic system, and numerical simulations demonstrate the effectiveness of the theoretical results. More >

A kind of discrete-time singular predator-prey system with time-varying harvesting term is investigated. By using theory of singular systems, bifurcation and center manifold theory, the stability and Neimark-Sacker bifurcation of such system is studied, and some conditions are used to judge local stability of its fixed points and ensure existence of the Neimark-Sacker bifurcation for the proposed discrete-time singular system are derived. Finally, numerical simulations are given to show the obtained results. The results of the paper complements some previous works, and we believe that the method of this paper can be used to study bifurcation for other discrete-time complex singular systems. More >