Optimal control governed impulsive neutral differential equations

Oscar Camacho; René Erlin Castillo; Hugo Leiva

doi:10.1016/j.rico.2024.100505

Optimal control governed impulsive neutral differential equations

Oscar Camacho^*
, René Erlin Castillo
, Hugo Leiva

^*Corresponding author for this work

Ingeniería Electrónica y Automatización

Universidad Nacional de Colombia
Universidad Yachay Tech

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	100505
Journal	Results in Control and Optimization
Volume	17
DOIs	https://doi.org/10.1016/j.rico.2024.100505
State	Published - Dec 2024

Keywords

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

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10.1016/j.rico.2024.100505

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title = "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 = "Dubovitskii–Milyutin theory, Linear variational impulsive differential equation, Nonlinear impulsive neutral type differential equations, Optimal control problem, Pontryagin maximum principle",

author = "Oscar Camacho and Castillo, \{Ren{\'e} Erlin\} and Hugo Leiva",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors",

year = "2024",

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doi = "10.1016/j.rico.2024.100505",

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volume = "17",

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T1 - Optimal control governed impulsive neutral differential equations

AU - Camacho, Oscar

AU - Castillo, René Erlin

AU - Leiva, Hugo

PY - 2024/12

Y1 - 2024/12

N2 - 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.

AB - 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.

KW - Dubovitskii–Milyutin theory

KW - Linear variational impulsive differential equation

KW - Nonlinear impulsive neutral type differential equations

KW - Optimal control problem

KW - Pontryagin maximum principle

UR - https://www.scopus.com/pages/publications/85210674727

U2 - 10.1016/j.rico.2024.100505

DO - 10.1016/j.rico.2024.100505

M3 - Artículo

AN - SCOPUS:85210674727

SN - 2666-7207

VL - 17

JO - Results in Control and Optimization

JF - Results in Control and Optimization

M1 - 100505

ER -

Optimal control governed impulsive neutral differential equations

Abstract

Keywords

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