Results 41 to 50 of about 7,836 (185)

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 Newton-type problems of minimal resistance [PDF]

, 2006
We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition.
Plakhov, A.Yu., Torres, D.F.M.
core   +2 more sources

ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS

Ural Mathematical Journal, 2019
We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy.
Anton O. Belyakov
doaj   +1 more source

A Model of Optimal Allocation of Resources to R&D: Further Results. I [PDF]

, 2003
We provide further analysis of two-country endogenous growth model considered in Aseev, et.al., 2002. to solve a suitably defined infinite horizon dynamic optimization problem an appropriate version of the Pontryagin maximum principle is applied.
Lysenko, A.
core  

The Optimal Frequency Control Problem of a Nonlinear Oscillator

Mathematics
We study a minimum-time (time-optimal) control problem for a nonlinear pendulum-type oscillator, in which the control input is the system’s natural frequency constrained to a prescribed interval.
Victor Ilyutko, Dmitrii Kamzolkin, Vladimir Ternovski   +2 more
doaj   +1 more source

Development of the decision making support system for the optimization of planning of a group of enterprises

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009
We have suggested the mathematical model of enterprises work in order to use it for decision making support systems. Within the scope of the model suggested we have determined the optimal commucation modes between product manufacturing and sales groups ...
K. L. Kulikovskiy, D. V. Petrov
doaj   +1 more source

Necessary Conditions for the Optimality and Sustainability of Solutions in Infinite-Horizon Optimal Control Problems

Mathematics, 2023
The paper deals with an infinite-horizon optimal control problem with general asymptotic endpoint constraints. The fulfillment of constraints of this type can be viewed as the minimal necessary condition for the sustainability of solutions. A new version
Sergey M. Aseev
doaj   +1 more source

Optimal Control of a Harmonic Oscillator with Parametric Excitation

Mathematics
This paper addresses the time-optimal control problem for a harmonic oscillator characterized by a time-dependent frequency. The primary objective is to determine the minimal time required to transition the system from an initial state, defined by a ...
Dmitrii Kamzolkin, Victor Ilyutko, Vladimir Ternovski   +2 more
doaj   +1 more source

Optimal Control of Manipulator

Известия Иркутского государственного университета: Серия "Математика", 2023
When solving the problem of optimal performance for manipulative robots, the scientific team headed by F. L. Chernousko actively uses the Pontryagin maximum principle.
Yu. F. Dolgii, I. A. Chupin
doaj   +1 more source

Value function for regional control problems via dynamic programming and Pontryagin maximum principle [PDF]

, 2017
In this paper we focus on regional deterministic optimal control problems, i.e., problems where the dynamics and the cost functional may be different in several regions of the state space and present discontinuities at their interface.
Barles, Guy, Briani, Ariela, Trélat, Emmanuel   +2 more
core   +2 more sources