In this paper, we study the existence, uniqueness, stability through
continuous dependence on initial conditions and Hyers-Ulam-Rassias stability
results for random impulsive fractional pantograph differential systems by
relaxing the linear growth conditions. Finally examples are given to
illustrate the applications of the abstract results.
In this paper, we establish some criteria on robust exponential stability by using the formula for the variation of parameters and estimating the Cauchy matrix. More importantly, the robust stability criteria do not require the stability of the corresponding continuous system, and so they can be more widely applied to stabilize the unstable continuous system with time delays and uncertainties by using random impulsive control. Further, we give some numerical examples to illustrate the theoretical results.
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