title: Improvements and applications of entrainment control for nonlinear dynamical systems.
abstract: This paper improves the existing entrainment control approaches and develops unified schemes to chaos control and generalized (lag, anticipated, and complete) synchronization of nonlinear dynamical systems. By introducing impulsive effects to the open-loop control method, we completely remove its restrictions on goal dynamics and initial conditions, and derive a sufficient condition to estimate the upper bound of impulsive intervals to ensure the global asymptotic stability. We then propose two effective ways to implement the entrainment strategy which combine open-loop and closed-loop control, and we prove that the feedback gains can be chosen according to a lower bound or be tuned with an adaptive control law. Numerical examples are given to verify the theoretical results and to illustrate their applications.
authors.affiliation: School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China.
authors.forename: Fang
authors.initials: F
authors.lastname: Liu
authors.forename: Qiang
authors.initials: Q
authors.lastname: Song
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*