scholarly journals State space theory of linear time-invariant systems with delays in state, control, and observation variables, II

1987 ◽  
Vol 125 (2) ◽  
pp. 400-450 ◽  
Author(s):  
M.C Delfour ◽  
J Karrakchou
Keyword(s):  
State Space ◽  
Linear Time ◽  
Space Theory ◽  
State Control ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
State Space Theory ◽  
Time Invariant

Robust Controllability of Interval Fractional Order Linear Time Invariant Systems

2005 ◽  
Author(s):  
Yang Quan Chen ◽  
Hyo-Sung Ahn ◽  
Dingyu¨ Xue
Keyword(s):  
State Space ◽  
Fractional Order ◽  
Linear Time ◽  
Interval Uncertainty ◽  
State Matrix ◽  
Order Linear ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Robust Controllability ◽  
Time Invariant

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.

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