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Our results provide a design method of impulsive control law which practically stabilizes the impulse free fractional-order system.
Suppose that the pair ((E,A)) is regular and impulse free, then the solution to (4) exists and is impulse free and unique on ([0, infty)). [11, 17].
(1) The singular delay system (4) is said to be regular and impulse free if the pair ((E,A)) is regular and impulse free.
The singular delay system (4) is said to be regular and impulse free if the pair ((E,A)) is regular and impulse free.
The T-S fuzzy augmented system (3.5) is solvable and impulse free.
The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties.
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From Definition 3, system (8) is regular and impulse-free.
Firstly, we proof the system (8) with (w ( t ) = 0) is regular, impulse-free.
So the pair (( {E,tilde{A}} )) is regular and impulse-free.
Firstly, we prove that system (7) is regular and impulse-free.
According to Definition 1, system (7) is regular and impulse-free.
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