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Approximate solution of the discrete optimal control problem

Lithuanian Mathematical Journal, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal control for nonlinear discrete-time systems: a successive approximation approach

ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004., 2005
A new successive approximation algorithm is developed for the optimal control of nonlinear discrete-time systems with quadratic cost functional. By using the proposed algorithm the original nonlinear optimal problem is transformed into a sequence of linear two-point boundary value (TPBV) problems.
Gong-You Tang, Hai-Hong Wang
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The Approximate Synthesis of Optimal Control for Heterogeneous Discrete Systems with Intermediate Criteria

2020
We consider one of the classes of hybrid systems, heterogeneous discrete systems (HDSs). The mathematical model of an HDS is a two-level model, where the lower level represents descriptions of homogeneous discrete processes at separate stages and the upper (discrete) level connects these descriptions into a single process and controls the functioning ...
Olga Danilenko, Irina V. Rasina
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Discrete-Time Stable Generalized Self-Learning Optimal Control With Approximation Errors

IEEE Transactions on Neural Networks and Learning Systems, 2018
In this paper, a generalized policy iteration (GPI) algorithm with approximation errors is developed for solving infinite horizon optimal control problems for nonlinear systems. The developed stable GPI algorithm provides a general structure of discrete-time iterative adaptive dynamic programming algorithms, by which most of the discrete-time ...
Qinglai Wei, Benkai Li, Ruizhuo Song
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Approximating infinite horizon stochastic optimal control in discrete time with constraints

Annals of Operations Research, 2006
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Successive-approximation approach of optimal control for bilinear discrete-time systems

IEE Proceedings - Control Theory and Applications, 2005
A successive-approximation approach designing optimal controllers is developed for bilinear discrete-time systems with a quadratic performance index. By using the successive-approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary-value problems.
G.-Y. Tang, H. Ma, B.-L. Zhang
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Optimization of SIC Receiver and CDMA Power Control by Discrete Stochastic Approximation

2005 5th International Conference on Information Communications & Signal Processing, 2006
In an uplink CDMA transmission, we consider a base station that utilizes successive interference cancellation (SIC) and performs power control of the mobile terminals to minimize the system power. Since the joint optimization of power control and ordering (JOPCO) detection in SIC requires a computational effort that grows exponentially with the number ...
BENVENUTO, NEVIO   +2 more
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Approximate discrete maximum principle for the difference approximation of optimal periodic control problems

International Journal of Control, 1989
Abstract Distinctive features of the difference approximation for optimal periodic control (OPC) problems are considered. It is shown that the convergence conditions on approximate solutions imply consistency conditions on the time grid step and the accuracy of the periodicity constraint approximation such that the approximate discrete maximum ...
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Controlled risk processes in discrete time: Lower and upper approximations to the optimal probability of ruin

Insurance: Mathematics and Economics, 2005
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Groniowska, Agnieszka, Niemiro, Wojciech
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Distributed design of approximately optimal controller for identical discrete-time multi-agent systems

Journal of Systems Science and Complexity, 2016
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Fangfang Zhang 0004   +2 more
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