OUTPUT CONTROLLABILITY AND OPTIMAL OUTPUT CONTROL OF POSITIVE FRACTIONAL ORDER LINEAR DISCRETE SYSTEM WITH MULTIPLE DELAYS IN STATE, INPUT AND OUTPUT

被引：2

作者：

Naim, Mouhcine ^{[1
]}

Lahmidi, Fouad ^{[1
]}

Namir, Abdelwahed ^{[2
]}

机构：

[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat, POB 7955, Casablanca, Morocco

[2] Hassan II Univ, Fac Sci Ben Msik, Lab Informat Technol & Modeling, POB 7955, Casablanca, Morocco

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 06期

关键词：

Fractional order; positive linear systems; output reachability; null output controllability; output controllability; optimal output control; MINIMUM ENERGY CONTROL; TIME-SYSTEMS;

D O I：

10.11948/20180289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article concerns output controllability and optimal output control of positive fractional order discrete linear systems with multiple delays in state, input and output. Necessary and sufficient conditions for output reachability (output controllability from zero initial conditions) and null output controllability (output controllability to zero final output) are given and proven. We also prove that the positive system is output controllable if it is output reachable and null output controllable with the output reachability index is equal or less than the null output controllability index. Sufficient conditions for the solvability of the optimal output control problem are given. Numerical examples are presented to illustrate the theoretical results.

引用

页码：2169 / 2189

页数：21

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