Optimal control results for a stochastic elastic system with structural damping and hemivariational inequalities
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Abstract
This paper investigates the optimal control results for a stochastic elastic system with structural damping and hemivariational inequalities. Initially, we utilize stochastic theory, fixed point theory, and some features of Clarke's subdifferential to demonstrate the existence of a mild solution for the considered problem. Further, we establish the existence of optimal control with a corresponding cost function by employing Balder's theorem for the proposed system. At last, an illustration is given to highlight the main results.
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References
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