Pontryagin's maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another...

graphs Pontryagin class Pontryagin duality Pontryagin's maximum principle Robertson, Edmund; O'Connor, John (1999). "Lev Pontryagin - Biography". MacTutor...

Hamiltonian. This is done in optimal control theory, in the form of Pontryagin's maximum principle. The fact that solutions of the method of Lagrange multipliers...

In 1974 Harold H. Johnson proved Dubins' result by applying Pontryagin's maximum principle. In particular, Harold H. Johnson presented necessary and sufficient...

∗ ( t ) {\displaystyle \mathbf {x} ^{\ast }(t)} , which by Pontryagin's maximum principle are the arguments that maximize the Hamiltonian, H ( x ∗ ( t...

of Gilbert Ames Bliss and Bryson in America, and Pontryagin in Russia. Pontryagin's maximum principle is of particular note. These early researchers created...

the beginning. For more details see Pontryagin's maximum principle. Adjoint equation Covector mapping principle Lagrange multiplier Kamien, Morton I...

derived using Pontryagin's maximum principle (a necessary condition also known as Pontryagin's minimum principle or simply Pontryagin's principle), or by solving...

problems without an endpoint constraint on the state variables. Pontryagin's maximum principle Beavis, Brian; Dobbs, Ian (1990). "Variable Endpoints and Transversality...

Airpark, IATA and FAA codes Proto-Malayo-Polynesian language Pontryagin's maximum principle, in mathematics This disambiguation page lists articles associated...

discrete-time counterpart of the Hamilton–Jacobi–Bellman equation. Pontryagin's maximum principle, necessary but not sufficient condition for optimum, by maximizing...

of strategies: the open-loop strategies are found using the Pontryagin maximum principle while the closed-loop strategies are found using Bellman's Dynamic...

In fields utilizing the calculus of variations or the related Pontryagin maximum principle, the transversality condition is frequently used to control the...

optimal control, where he was one of the discoverers of the Pontryagin's maximum principle. In 1967 he received Uzbek SSR prize for the work on ordered...

concepts such as dynamic programming (Richard E. Bellman) and the Pontryagin maximum principle (Breitner 2005) which are widely used in economics and many other...

language of machine learning. 2. First complete proof of the Pontryagin’s Maximum Principle for fluid dynamic equations with state constraints, as a joint...

vice versa, a phenomenon known as the uncertainty principle. The critical case for this principle is the Gaussian function, of substantial importance...

various maximum principles as first-order necessary optimality conditions, known in optimal-control theory as Pontryagin's maximum principle. In variational...

was later formulated in a more general form as the Pontryagin's maximum principle (from Lev Pontryagin). In 1949 he joined the Mathematical Institute of...

economic review 13, 43–58. “An Extension of a Discrete Version of Pontryagin's Maximum Principle and its Simple Application”, 1970, Kobe University economic...

Foss, Johnson uses the calculus of variations - more generally Pontryagin’s Maximum Principle in Control Theory – to optimise the path of resource utilisation...

Hamiltonian is linear in the control variable; application of Pontryagin's minimum or maximum principle will then lead to pushing the control to its upper or...

In his thesis, Bismut established a stochastic version of Pontryagin's maximum principle in control theory by introducing and studying the backward stochastic...

electro-physical parameters and minimal weight and volume. Using Pontryagin maximum principle he was the first to find a theoretical solution to this type...

_{t})\,dx-{\frac {1}{2}}\int _{X}Av_{t}\cdot v_{t}\,dx.} The Pontryagin maximum principle gives the Hamiltonian H ( ϕ t , p t ) ≐ max v H ( ϕ t , p t ...

Barron, Emmanuel Nicholas; Jensen, Robert (1986). "The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order...

solutions are known as geodesics. A related problem is posed by Fermat's principle: light follows the path of shortest optical length connecting two points...

_{X}Av_{t}\cdot v_{t}\,dx.} This function is the extended Hamiltonian. The Pontryagin maximum principle gives the optimizing vector field which determines the geodesic...

MathWorld. Ross, I. M. The Brachistochrone Paradigm, in Primer on Pontryagin's Principle in Optimal Control, Collegiate Publishers, 2009. ISBN 978-0-9843571-0-9...

Grothendieck–Katz p-curvature conjecture: a conjectured local–global principle for linear ordinary differential equations. Hadamard conjecture: for every...