Abstract

AbstractIn this manuscript, we establish the controllability results for a nonlinear singular switched system on arbitrary time scales. We used the mathematical induction to evaluate the solution of the nonlinear slow switched subsystem and nonlinear fast switched subsystem. Also, we study the necessary and sufficient conditions for the controllability of the nonlinear singular switched system followed by the controllability of both the nonlinear switched subsystems. The tools for study include Banach fixed point theorem and pseudo‐inverse of matrices. At last, we illustrate an example to show the efficacy of the proposed approach.

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