Robust controllability of interval fractional order linear time invariant systems
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作者:
Chen, YangQuan
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机构:
Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USAUtah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA
Chen, YangQuan
[1
]
Ahn, Hyo-Sung
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机构:
Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USAUtah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA
Ahn, Hyo-Sung
[1
]
Xue, Dingyu
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机构:
Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USAUtah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA
Xue, Dingyu
[1
]
机构:
[1] Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA
来源:
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 6, PTS A-C
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2005年
关键词:
fractional order systems;
robust controllability;
interval linear time invariant systems;
interval matrix;
linear dependency of interval vectors;
D O I:
暂无
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in state-space form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional integer order state space using the same state matrix A and the input coupling matrix B. Based on this fact, we further show that, for interval FO-LTI systems, the key is to check the linear dependency of a set of interval vectors. Illustrative examples are presented.
机构:
Chinese Univ Hong Kong, Dept Mech & Automat Engn, Hong Kong, Hong Kong, Peoples R ChinaUniv Melbourne, Melbourne Sch Engn, Melbourne, Vic 3010, Australia
机构:
Xian Polytech Univ, Dept Math, Xian 710048, Peoples R ChinaXian Polytech Univ, Dept Math, Xian 710048, Peoples R China
Ding, Xiaoli
Nieto, Juan J.
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机构:
Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi ArabiaXian Polytech Univ, Dept Math, Xian 710048, Peoples R China