Results 61 to 70 of about 3,032,260 (171)
The Optimal Frequency Control Problem of a Nonlinear Oscillator
MathematicsWe 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 +2 more
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Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source
The animal spirits hypothesis and the Benhabib-Farmer condition for indeterminacy [PDF]
This paper provides a self-contained review of the introduction of the animal spirits hypothesis into the infinite horizon optimal growth model. The analysis begins with an economic discussion of Pontryagin’s maximum principles.
Guerrazzi, Marco
core
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation*
, 2012 In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle.
Youjun Xu, Cuie Xiao, Hui Zhu
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Geometric approach to Pontryagin's Maximum Principle [PDF]
, 2008 Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy.
Muñoz Lecanda, Miguel Carlos +1 more
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Solving 1D conservation laws using Pontryagin’s minimum principle [PDF]
, 2016 The article of record as published may be found at http://dx.doi.org/10.1007/s10915-016-0294-6This paper discusses a connection between scalar convex conservation laws and Pontryagin’s minimum principle.
Kang, Wei, Wilcox, Lucas C.
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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
TWO-POINT BOUNDARY PROBLEM SOLUTION BY NON-GRADIENT RANDOM SEARCH METHOD
Системный анализ и прикладная информатика, 2016 The numerical solution of two-point boundary problem when determining optimal control of dynamical system by means of Pontryagin’s maximum principle is considered. The initial conditions of conjugate set of equations are determined by use of non-gradient
V. A. Malkin
doaj
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
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