Acta mathematica scientia, Series B >
CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS
Received date: 2014-05-13
Revised date: 2014-07-27
Online published: 2015-09-01
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.
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.
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 . DOI: 10.1016/S0252-9602(15)30034-5
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