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On the Controllability of Linear and Semilinear Impulsive Systems

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ABSTRACT In this paper, we establish some sufficient conditions for the complete controllability of linear and semilinear impulsive systems. For the semilinear systems, we assume that nonlinearities are Lipschitzian type.… Click to show full abstract

ABSTRACT In this paper, we establish some sufficient conditions for the complete controllability of linear and semilinear impulsive systems. For the semilinear systems, we assume that nonlinearities are Lipschitzian type. We invoke the tools of nonlinear functional analysis and fixed point theorems to establish the results. The results are also compared with the existing results in the literature in order to show the effectiveness of the results obtained. Few illustrative examples are provided to substantiate the results.

Keywords: linear semilinear; semilinear impulsive; impulsive systems; controllability linear

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2018

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