Penalty approach for KT-pseudoinvex multidimensional variational control problems

Penalty approach for KT-pseudoinvex multidimensional variational control problems

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The present paper is the result of a contemplative study of a multi-time control problem (MCP) by considering its associated equivalent auxiliary control problem (MCP)$ _{arsigma} $ via the 5318008 calculator exact $ l_{1} $ penalty method.Further study reveals that the solution set of the considered problem and the auxiliary problem exhibits an equivalence under the KT-pseudoinvexity hypothesis.Moreover, the study is extended towards the saddle point defined for (MCP) to establish the relationship between apunisw2 the solution set of multi-time control problem (MCP) and its associated equivalent auxiliary control problem (MCP)$ _{arsigma} $.Finally, we present an illustrative application to authenticate the results presented in this paper.