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Discrete Approximations in Optimal Control
The IMA Volumes in Mathematics and Its Applications, 1996In this paper we present two techniques for analysis of discrete approximations in optimal control. In Section 2 we study convergence properties of the optimal value and optimal solutions. In Section 3 we obtain an estimate for the optimal control error in the case when the Euler discretization scheme is used for solving the first-order optimality ...
Asen Dontchev
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An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control
SIAM Journal on Control and Optimization, 1996Summary: We examine the convergence of an approximate discretization applied to the first-order optimality conditions for a nonlinear optimal control problem with convex control constraints. Under an assumption of the coercivity type we prove the existence of an optimal control for the original problem such that its \(L^\infty\) distance from the ...
Asen Dontchev
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Optimal Modular Control of Discrete Event Systems with Distinguishers and Approximations
Discrete Event Dynamic Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robi Malik, Marcelo Teixeira
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Optimal Control of Discrete-Time Approximations to Systems with Hysteresis
1998S.A. Belbas, I.D. Mayergoyz
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Optimal Control by Polynomial Approximation: The Discrete Time Case
IFAC Proceedings Volumes, 1989Abstract This paper discusses optimal control of discrete time nonlinear systems. All of the functions discussed are assumed to be analytic. Each function is expanded in a Taylor series. By parameterizing the series using tensor algebraic techniques, explicit expressions for the terms in the series expansion for the feedback controller are obtained ...
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