Smoothing approach for a class of nonsmooth optimal control problems

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Abstract

In this study, we consider a nonsmooth optimal control problem. First, we convert this problem into the corresponding smooth optimal control problem using a practical generalized derivative. Next, we utilize the Chebyshev pseudo-spectral method to solve the smooth problem and analyze the feasibility and convergence of the approximations obtained. Finally, we approximate the optimal solutions of some nonsmooth optimal control problems.

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APA

Noori Skandari, M. H., Kamyad, A. V., & Effati, S. (2016). Smoothing approach for a class of nonsmooth optimal control problems. Applied Mathematical Modelling, 40(2), 886–903. https://doi.org/10.1016/j.apm.2015.05.014

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