Results 81 to 90 of about 3,032,055 (192)
Discover Applied SciencesThis research develops and implements a comprehensive Python-based computational framework for solving optimal control problems in economic dynamics using Pontryagin’s Maximum Principle (PMP).
Walle Tilahun +3 more
doaj +1 more source
Pontryagin Maximum Principle - a generalization
, 2009 The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects generalizing Lie algebroids. This formulation of the PMP yields, in particular, a scheme comprising reductions of optimal control problems similar to the reduction for the rigid ...
Grabowski, Janusz, Jozwikowski, Michal
openaire +2 more sources
Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle
Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley +1 more source
An application of Hamiltonian neurodynamics using Pontryagin's maximum (minimum) principle
, 2009 Hamiltonians can generate Artificial Neural Dynamical systems dependent on time. Classical methods from optimal control theory, notably Pontryagin's Maximum (Minimum) principle (PMP) can be employed, together with Hamiltonians, in order to determine the ...
Takamasa Koshizen (20156301)
core +1 more source
Ain Shams Engineering JournalWomen's empowerment is essential for societal development, with government initiatives playing a pivotal role in this process. This study introduces a fractional-order mathematical model capturing the dynamics of women's empowerment, emphasizing the ...
A. El-Mesady +3 more
doaj +1 more source
Optimal control of a delayed smoking model with immigration
Journal of Biological Dynamics, 2019 In this paper, we formulate a smoking model with delay and immigration, and the possibility of optimal controls both over the susceptible and heavy problem smoker subjects is assumed. The existence of the optimal control pair is also proved.
Caixia Sun, Jianwen Jia
doaj +1 more source
, 2004 In this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation.
Lee, Mi Jin, Park, Jong Yeoul
core
Dynamic programming and maximum principle for discrete Goursat systems [PDF]
, 1991 We obtain the dynamic programming equations for discrete Goursat systems, we prove that they are necessary and sufficient for optimality, and we prove formulas for the exact or approximate solution of these equations. Using dynamic programming arguments,
Belbas, S.A.
core +1 more source
Time Optimal Hybrid Sliding Mode-PI Control for an Autonomous Underwater Robot
International Journal of Advanced Robotic Systems, 2008 This paper presents an underwater robot control system using combination principle among sliding mode control (SMC), Pontryagin maximum principle and linear PI control.
Theerayuth Chatchanayuenyong +1 more
doaj +2 more sources
Analysis the brachistochronic motion of a mechanical system with nonlinear nonholonomic constraint [PDF]
FME Transactions, 2014 This paper analyzes the problem of brachistochronic planar motion of a mechanical system with nonlinear nonholonomic constraint. The nonholonomic system is represented by two Chaplygin blades of negligible dimensions, which impose nonlinear constraint in
Radulović Radoslav D. +4 more
doaj