Abstract
AbstractThis article deals with the problem of finite time guaranteed cost control for uncertain polytopic fractional‐order systems with time‐varying delays. A linear quadratic cost function is considered as a performance measure for the closed‐loop system. By using Laplace transform and linear matrix inequalities (LMIs), a guaranteed cost controller design is presented and sufficient conditions for the existence of a finite time guaranteed cost state‐feedback control for the system are given in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the obtained result.
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