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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...

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

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

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

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

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

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...

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

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

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

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...

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...

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

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

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

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...

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

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