|Controllability Analysis of Nonlinear Neutral-type Fractional-order Differential Systems with State Delay and Impulsive Effects
B. Sundara Vadivoo, Raja Ramachandran, Jinde Cao*, Hai Zhang, and Xiaodi Li
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.659-669, 2018
Abstract : "This paper is concerned with the controllability problem of nonlinear neutral-type fractional differential
systems with state delay and impulsive effects. By using the controllability Grammian matrix which is defined by
the Mittag-Leffler matrix function and Laplace transform, a new set of sufficient conditions are obtained for the
considered system to be controllable. Finally, two numerical examples are given to demonstrate the validity of the
obtained theoretical results."
"Caputo fractional derivative, controllability, fractional integro-differential equations, impulses, neutraltype, state delay."
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