The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory.
Kharatishvili, Guram L., Tadumadze, Tamaz A. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “The Lagrange principle of taking restrictions off and its application to linear optimal control problems in the presence of mixed restrictions and delays.”
The problem of optimal control for nonlinear systems with variable structure, delays and piecewise continuous prehistory.
On the Optimal Control of a Class of Time-Delay System
L. Boudjenah, M.F. Khelfi (2010)
Mathematical Modelling of Natural Phenomena
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In this work we study the optimal control problem for a class of nonlinear time-delay systems via paratingent equation with delayed argument. We use an equivalence theorem between solutions of differential inclusions with time-delay and solutions of paratingent equations with delayed argument. We study the problem of optimal control which minimizes a certain cost function. To show the existence of optimal control, we use the main topological...
The extremum principle for problems of optimal control with mixed constraints
Lędzewicz-Kowalewska, Urszula (2015-11-28T13:27:16Z)
Acta Universitatis Lodziensis. Folia Mathematica
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A penalty method for deriving necessary conditions in problems of optimal control
Leonard D. Berkovitz (1985)
Banach Center Publications
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Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems
Maria do Rosário de Pinho, Maria Margarida Ferreira, Fernando Fontes (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Necessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality...
An existence theorem for a class of optimal problems with delayed argument.
Tadumadze, T., Gelashvili, K. (2000)
Memoirs on Differential Equations and Mathematical Physics
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The maximum Principle of optimal control: A history of ingenious ideas and missed opportunities
Hans Pesch, Michael Plail (2009)
Control and Cybernetics
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The non-parameter penalty function method in constrained optimal control problems.
Xing, An-Qing (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Differential dynamical systems in Lagrangian optimal control formulation. II. (Systemés dynamiques differéntielles á controle optimal formulation Lagrangienne. II.)
Obadeanu, V., Neamtu, M. (1999)
Novi Sad Journal of Mathematics
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Existence of optimal nonanticipating controls in piecewise deterministic control problems
Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
Uniqueness of optimal trajectories for non-linear control systems
A. Pliś (1975)
Annales Polonici Mathematici
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