It well known that the Pontryagin maximum principle is a necessary optimality condition for control problems. For linear control problems, it is also a sufficient condition, but for a nonlinear control problems in common form, it is not. We found a class of nonlinear control problems for which the Pontryagin maximum principle is also a sufficient optimality condition. This is a class of problem...

<p style='text-indent:20px;'>Due to the propagation of new coronavirus (COVID-19) on community, global researchers are concerned with how minimize impact COVID-19 world. Mathematical models effective tools that help prevent and control this disease. This paper mainly focuses optimal problems an epidemic system governed by a class singular evolution equations. The mild solutions such equat...

Two production systems with inventory-level-dependent demand are considered and Pontryagin maximum principle is used to determine the optimal control.

We study an optimal control problem arising from a resource allocation problem in cellular metabolism. A minimalistic model that describes the production of enzymatic vs. non-enzymatic biomass components from a single nutrient source is introduced. The basic growth modes with this model are linear growth, where only the non-enzymatic component is produced, and exponential growth with only enzym...

Abstract. A basic idea of the classical approach for obtaining necessary optimality conditions in optimal control is to construct suitable “needle-like control variations.” We use this idea it to prove the main result of the present paper—a Pontryagin maximum principle for infinite-dimensional optimal control problems with pointwise terminal constraints in arbitrary Banach state space. By refin...

classical control methods such as pontryagin maximum principle and bang-bang principle and other methods are not usually useful for solving opti-mal control systems (ocs) specially optimal control of nonlinear systems (ocns). in this paper, we introduce a new approach for solving ocns by using some combination of atomic measures. we define a criterion for controllability of lumped nonlinear con...