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Impulsive control for the stabilization and synchronization of Lorenz systems. (English) Zbl 1115.93347
Summary: This Letter derives some sufficient conditions for the stabilization and synchronization of Lorenz systems via impulsive control with varying impulsive intervals. Compared with the existing results, these conditions are less conservative in that the Lyapunov function is only required to be nonincreasing along a subsequence of switchings, instead of the whole sequence of switchings. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained.
MSC:
93D15Stabilization of systems by feedback
37N35Dynamical systems in control