Robust Controllability of Interval Fractional Order Linear Time Invariant Systems
Keyword(s):
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.
2006 ◽
Vol 86
(10)
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pp. 2794-2802
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2019 ◽
Vol 6
(3)
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pp. 685-692
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2012 ◽
Vol 64
(10)
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pp. 3053-3058
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2013 ◽
Vol 16
(1)
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Keyword(s):
Robust stability check of fractional order linear time invariant systems with interval uncertainties
2006 ◽
Vol 86
(10)
◽
pp. 2611-2618
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2019 ◽
Vol 13
(3)
◽
pp. 451-457
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