In this paper, the optimal periodic controls problem for linear impulsive periodic system is discussed. Utilizing the geometric theory of Banach space and regarding quadratic function as the optimal index of measuring impulsive periodic system, the existence of optimal periodic controls for optimal control problems arising in systems governed by the linear impulsive periodic system on Banach space is presented. An example is given for demonstration.
[Show abstract][Hide abstract] ABSTRACT: This paper investigates a class of impulsive pulse-width sampler systems and its steadystate
control in the infinite dimensional spaces. Firstly, some definitions of pulse-width sampler systems
with impulses are introduced. Then applying impulsive evolution operator and fixed point theorem, some
existent results of steady-state of infinite dimensional linear and semilinear pulse-width sampler systems
with impulses are obtained. An example to illustrate the theory is presented in the end.
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