Results 221 to 230 of about 116,116,737 (263)
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Approximations for discrete-time adaptive control: Construction of ε-optimal controls
Mathematics of Control, Signals, and Systems, 1991The following problem of stochastic optimal control is considered. To minimize the functional \(G(u)=M\left\{\sum^{N-1}_{n=0}g_ 1(x_ n,u_ n)+g_ 2(x_ N)\right\}\to\inf\) under the conditions \[ x_{n+1}=f_ 1(x_ n,u_ n)+\theta f_ 2(x_ n,u_ n)+\sigma(x_ n,u_ n)w_{n+1},\qquad n=0,\dots,N-1, \] where \(x_ 0\) is the initial condition with density of ...
Wolfgang J. Runggaldier, Omar Zane
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Discrete approximation of relaxed optimal control problems
Journal of Optimization Theory and Applications, 1990We consider a general nonlinear optimal control problem for systems governed by ordinary differential equations with terminal state constraints. No convexity assumptions are made. The problem, in its so- called relaxed form, is discretized and necessary conditions for discrete relaxed optimality are derived. We then prove that discrete optimality [resp.
Chryssoverghi, I., Bacopoulos, A.
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Discrete Approximations to Continuous Optimal Control Problems
SIAM Journal on Control, 1969It is demonstrated that if P is a continuous optimal control problem whose system of differential equations is linear in the control and the state variables, and whose control and state variable constraint sets are convex, a direct method of determining an optimal solution of P exists. It is demonstrated that such a “continuous” problem can be replaced
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An approximate optimal control for discrete models: Its design
Automation and Remote Control, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularity Properties of Optimal Controls with Application to Discrete Approximation
Journal of Optimization Theory and Applications, 1999The paper is an improvement of the recent result of \textit{A. L. Dontchev} [SIAM J. Control Optimization 34, No. 4, 1315-1328 (1996; Zbl 0851.49023)] about discrete approximations under uniform coercivity conditions on the discrete solutions for differential equations. Moreover, the regularity is further specified by Lipschitz continuity. The form of \
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Approximate optimal control of discrete I/O systems with C/GMRES
2015 European Control Conference (ECC), 2015This paper proposes an optimal control approach to control systems described by discrete time I/O models. In particular, the C/GMRES method, which is a curse-of-dimensionality free and fast approximative optimal control method is adapted to this purpose.
J. Blumenschein +5 more
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A hybrid approximation scheme for discretizing constrained quadratic optimal control problems
Journal of the Franklin Institute, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamid Reza Marzban +1 more
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Applied Optics, 2014
Since the discovery of materials with negative refractive index, widely known as metamaterials, it has been possible to develop new devices that utilize a metamaterial's ability to control the path of electromagnetic energy. Of particular promise, and already under intensive development for commercial applications, are metamaterial antennas for ...
Mikala, Johnson +3 more
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Since the discovery of materials with negative refractive index, widely known as metamaterials, it has been possible to develop new devices that utilize a metamaterial's ability to control the path of electromagnetic energy. Of particular promise, and already under intensive development for commercial applications, are metamaterial antennas for ...
Mikala, Johnson +3 more
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Successive approximation approach of optimal control for nonlinear discrete-time systems
International Journal of Systems Science, 2005A successive approximation approach designing optimal controller is developed for affine non-linear discrete-time systems with a quadratic performance index. By using this approach the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems. The optimal control law consists of an
G.-Y. Tang, H.-H. Wang
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Approximate solution of the discrete optimal control problem
Lithuanian Mathematical Journal, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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