TY - JOUR
T1 - Optimal control governed impulsive neutral differential equations
AU - Camacho, Oscar
AU - Castillo, René Erlin
AU - Leiva, Hugo
N1 - Publisher Copyright:
© 2024 The Authors
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 - http://www.scopus.com/inward/record.url?scp=85210674727&partnerID=8YFLogxK
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 -