Controllability and Minimum Energy Control Problem of Fractional Discrete-Time Systems

被引：70

作者：

Klamka, Jerzy ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Control Engn, PL-44100 Gliwice, Poland

来源：

NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS | 2010年

关键词：

D O I：

10.1007/978-90-481-3293-5_45

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In the paper minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

引用

页码：503 / 509

页数：7

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