CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

doi:10.1016/S0252-9602(15)30034-5

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (5): 1003-1013.doi: 10.1016/S0252-9602(15)30034-5

CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

丁小丽¹, Juan J. NIETO^2,3

1. Department of Mathematics, Xi'an Polytechnic University, Xi'an 710048, China;
2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

收稿日期:2014-05-13 修回日期:2014-07-27 出版日期:2015-09-01 发布日期:2015-09-01
通讯作者: Xiaoli DING E-mail:dingding0605@126.com
作者简介:Xiaoli DING, E-mail: dingding0605@126.com; Juan J. NIETO, E-mail: juanjose.nieto.roig@usc.es
基金资助:
The first author is supported by the Science and Technology Planning Project (2014JQ1041) of Shaanxi Province and the Scientic Research Program Funded by Shaanxi Provincial Education Department (14JK1300) and the Research Fund for the Doctoral Program (BS1342) of Xi'an Polytechnic University. The second author is partially supported by Ministerio de Economíay Competitividad and EC fund FEDER, Project no. MTM2010-15314, Spain.

CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

Xiaoli DING¹, Juan J. NIETO^2,3

1. Department of Mathematics, Xi'an Polytechnic University, Xi'an 710048, China;
2. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Received:2014-05-13 Revised:2014-07-27 Online:2015-09-01 Published:2015-09-01
Contact: Xiaoli DING E-mail:dingding0605@126.com
Supported by:
The first author is supported by the Science and Technology Planning Project (2014JQ1041) of Shaanxi Province and the Scientic Research Program Funded by Shaanxi Provincial Education Department (14JK1300) and the Research Fund for the Doctoral Program (BS1342) of Xi'an Polytechnic University. The second author is partially supported by Ministerio de Economíay Competitividad and EC fund FEDER, Project no. MTM2010-15314, Spain.

摘要/Abstract

摘要：

Control systems governed by linear time-invariant neutral equations with different fractional orders are considered. Sufficient and necessary conditions for the controllability of those systems are established. The existence of optimal controls for the systems is given. Finally, two examples are provided to show the application of our results.

关键词: controllability, optimality, neutral equations, different fractional orders

Abstract:

Key words: controllability, optimality, neutral equations, different fractional orders

中图分类号:

26A33

丁小丽, Juan J. NIETO. CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS[J]. 数学物理学报(英文版), 2015, 35(5): 1003-1013.

Xiaoli DING, Juan J. NIETO. CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS[J]. Acta mathematica scientia,Series B, 2015, 35(5): 1003-1013.

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CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

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