An efficient design for solving discreteoptimal control problem withtime-varying multi-delays

The focus of this article is on the study of discrete optimal control problems(docps) governed by time-varying systems, including time-varyingdelays in control and state variables. docps arise naturally in many multistagecontrol and inventory problems where time enters discretely in a naturalfashion. here, the euler–lagrange formulation (which are two-pointboundary values with time-varying multi-delays) is employed as an efficienttechnique to solve docps with time-varying multi-delays. the mainfeature of the procedure is converting the complex version of the discretetimeoptimal control problem into a simple form of differential equations.since the main problem is in discrete form, then the euler–lagrange equationchanges to an algebraic system with initial and final conditions. thegraphic representation of numerical simulation results shows that the proposedmethod can effectively and reliably solve docps with time-varyingmulti-delays.