Research Article Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space
نویسندگان
چکیده
A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative results on T0-periodic PC-mild solution for nonhomogeneous linear impulsive periodic system with time-varying generating operators are established and the relationship between the boundness of solution and the existence of T0-periodic PC-mild solution is shown. The impulsive periodic motion controllers that are robust to parameter drift are designed for a given periodic motion. An example is given for demonstration.
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Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space
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