Optimal control governed impulsive neutral differential equations

Abstract

We derive Pontryagin’s Maximum Principle for optimal control problems characterized by nonlinear impulsive neutral type differential equations. Our method utilizes the Dubovitskii–Milyutin theory, assuming that the linear variational impulsive differential equation along the optimal solution is exactly controllable. This principle offers necessary conditions for identifying optimal solutions.

Keywords

• Pontryagin maximum principle
• Optimal control problem
• Nonlinear impulsive neutral type differential equations
• Dubovitskii–Milyutin theory
• Linear variational impulsive differential equation