We characterize the property of obtaining a solution to a convex program by minimizing over the feasible region a linearization of the objective function at any of its solution points (Minimum Principle Sufficiency). For the case of a monotone linear complementarity problem this MPS property is completely equivalent to the existence of a nondegenerate solution to the problem. For the case of a ...

In this communication we propose and also verify through ab initio calculations a new electronic structure principle, viz. the minimum magnetizability principle (MMP), to extend the domain of applicability of the conceptual density functional theory (DFT) 1 in explaining the magnetic interactions and magnetochemistry. This principle may be stated as, “A stable configuration/conformation of a mo...

The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

Abstract Mathematical models of linear discrete-time set-valued Pareto-Nash-Stackelberg control processes are examined as extension of mono-valued Pareto-Nash-Stackelberg control models proposed by V. Ungureanu in [10]. A straightforward principle is applied to solve Pareto-Nash-Stackelberg control problems. Models and results are presented in natural order by beginning with the simplest case a...

The Corona virus is a disease that threatens human population on earth in early 2020, the first infection began China, thought to be host mammals and then able transmits into body, this present paper will describe dynamic system of Covid-19, analyzing direction equilibrium, Disease Free Equilibrium (DFE) Endemic (EE), which can done by determining dimensionless number Basic Reproduction Number ...

The purpose of this paper is to show that modern control theory, both in the form of the “classical” ideas developed in the 1950s and 1960s, and in that of later, more recent methods such as the “nonsmooth,” “very nonsmooth” and “differentialgeometric” approaches, provides the best and mathematically most natural setting to do justice to Johann Bernoulli’s famous 1696 “brachistochrone problem.”...

Abstract: Problem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help ...