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Autonomous optimal control problems
Reports on Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2015
Pontryagin (1962) and his associates developed the maximum principle for solving continuous-time control problems. Basically, the maximum (or minimum) principle provides a set of local necessary conditions for optimality. According to this method, variables analogous to the Lagrange multipliers should be introduced.
Dipak Basu, Victoria Miroshnik
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Pontryagin (1962) and his associates developed the maximum principle for solving continuous-time control problems. Basically, the maximum (or minimum) principle provides a set of local necessary conditions for optimality. According to this method, variables analogous to the Lagrange multipliers should be introduced.
Dipak Basu, Victoria Miroshnik
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2019
We consider discrete-time stochastic optimal control problems over a finite number of decision stages in which several controllers share different information and aim at minimizing a common cost functional. This organization can be described within the framework of “team theory.” Unlike the classical optimal control problems, linear-quadratic-Gaussian ...
Riccardo Zoppoli +3 more
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We consider discrete-time stochastic optimal control problems over a finite number of decision stages in which several controllers share different information and aim at minimizing a common cost functional. This organization can be described within the framework of “team theory.” Unlike the classical optimal control problems, linear-quadratic-Gaussian ...
Riccardo Zoppoli +3 more
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1997
In the present section we study optimization problems for elastic plates with obstacles. An optimal distribution of external forces is attained via the minimization of a functional which depends on the plate displacement. Therefore, the right-hand side of the variational inequality describing the displacement of an elastic plate with an obstacle loaded
A. M. Khludnev, J. Sokolowski
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In the present section we study optimization problems for elastic plates with obstacles. An optimal distribution of external forces is attained via the minimization of a functional which depends on the plate displacement. Therefore, the right-hand side of the variational inequality describing the displacement of an elastic plate with an obstacle loaded
A. M. Khludnev, J. Sokolowski
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OPTIMAL CONTROL ON RELIABILITY PROBLEMS
Far East Journal of Dynamical Systems, 2018Summary: Our basic problem is that of an optimal control whose Bolza payoff is the sum between a simple integral and a function of the initial and final events whose evolution ODE is a reliability flow. The original results include: (i) a list of payoffs with reliability sense, (ii) optimal value of mean time to failure functional constrained by ...
Udrişte, Constantin +2 more
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2004
Consider a control system of the form $$\dot q = fu(q),q \in M,u \in U \subset {R^m}.$$ (10.1) Here M is, as usual, a smooth manifold, and U an arbitrary subset of ℝm. For the right-hand side of the control system, we suppose that: $$q \mapsto fu(q)$$ (10.2) is a smooth vector field on M for any fixed u ∈ U, $$(q,u) \mapsto {f_u}
Andrei A. Agrachev, Yuri L. Sachkov
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Consider a control system of the form $$\dot q = fu(q),q \in M,u \in U \subset {R^m}.$$ (10.1) Here M is, as usual, a smooth manifold, and U an arbitrary subset of ℝm. For the right-hand side of the control system, we suppose that: $$q \mapsto fu(q)$$ (10.2) is a smooth vector field on M for any fixed u ∈ U, $$(q,u) \mapsto {f_u}
Andrei A. Agrachev, Yuri L. Sachkov
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Optimal Control Problems with Disorder
Automation and Remote Control, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belyavskii, G. I. +2 more
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Degenerate problems of optimal control. II
Automation and Remote Control, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gurman, V. I., Kang, Ni Ming
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Infinite Dimensional Parametric Optimal Control Problems
Mathematische Nachrichten, 1993AbstractIn this paper we study parametric optimal control problems monitored by nonlinear evolution equations. The parameter appears in all the data, including the nonlinear operator. First we show that for every value of the parameter, the optimal control problem has a solution.
Aizicovici, Sergiu +1 more
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