Control of Rössler system to periodic motions using impulsive control methods

Abstract We present the theoretical result of impulsive control of the Rossler system to periodic motions. A sufficient condition for existence of periodic trajectories of the impulsively controlled Rossler system is given. Based on the theoretical results, we present a systematic method of designing impulsive control laws. We present the proportional and additive impulsive control laws as two examples to show how an impulsive control law can be designed. Numerical experiments are used to show the validity of the theoretical results.

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