Optimal control governed impulsive neutral differential equations

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.

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Publication Details

Journal
Results in Control and Optimization
Published
2024-12-01
DOI
https://doi.org/10.1016/j.rico.2024.100505
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.97
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article

Optimal control governed impulsive neutral differential equations

Óscar Camacho, Hugo Leiva, René Erlín Castillo
1 citations
Results in Control and Optimization
Nonlinear Differential Equations Analysis
0.97
article

Optimal control governed impulsive neutral differential equations

Óscar Camacho, Hugo Leiva, René Erlín Castillo
article en
1 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.

Results in Control and OptimizationVol. 17
Universidad Yachay Tech (EC), Universidad Nacional de Colombia (CO), Universidad San Francisco de Quito (EC)
Openalex Percentile: Top 22%
Nonlinear Differential Equations Analysis
0.97
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