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Adaptive Neural Networks Finite-Time Optimal Control for a Class of Nonlinear Systems
IEEE Transactions on Neural Networks and Learning Systems, 2019This article addresses the finite-time optimal control problem for a class of nonlinear systems whose powers are positive odd rational numbers. First of all, a finite-time controller, which is capable of ensuring the semiglobal practical finite-time ...
Yong-ming Li +2 more
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IEEE transactions on fuzzy systems, 2018
In this paper, the problem of adaptive fuzzy decentralized optimal control is investigated for a class of nonlinear large-scale systems in strict-feedback form.
Shaocheng Tong, Kangkang Sun, Shuai Sui
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In this paper, the problem of adaptive fuzzy decentralized optimal control is investigated for a class of nonlinear large-scale systems in strict-feedback form.
Shaocheng Tong, Kangkang Sun, Shuai Sui
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Optimal Control of Systems Governed by Partial Differential Equations
, 1971Principal Notations.- I Minimization of Functions and Unilateral Boundary Value Problems.- 1. Minimization of Coercive Forms.- 1.1. Notation.- 1.2. The Case when ?: is Coercive.- 1.3. Characterization of the Minimizing Element. Variational Inequalities.-
J. Lions
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On the fractional optimal control problems with a general derivative operator
Asian journal of control, 2019This paper deals with a general form of fractional optimal control problems involving the fractional derivative with singular or non‐singular kernel. The necessary conditions for the optimality of these problems are derived and a new numerical method is ...
A. Jajarmi, D. Baleanu
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A mean-field optimal control formulation of deep learning
Research in the Mathematical Sciences, 2018Recent work linking deep neural networks and dynamical systems opened up new avenues to analyze deep learning. In particular, it is observed that new insights can be obtained by recasting deep learning as an optimal control problem on difference or ...
Weinan E, Jiequn Han, Qianxiao Li
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Value Iteration Adaptive Dynamic Programming for Optimal Control of Discrete-Time Nonlinear Systems
IEEE Transactions on Cybernetics, 2016In this paper, a value iteration adaptive dynamic programming (ADP) algorithm is developed to solve infinite horizon undiscounted optimal control problems for discrete-time nonlinear systems. The present value iteration ADP algorithm permits an arbitrary
Qinglai Wei, Derong Liu, H. Lin
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IEEE transactions on fuzzy systems, 2016
In this paper, an adaptive fuzzy optimal control design is addressed for a class of unknown nonlinear discrete-time systems. The controlled systems are in a strict-feedback frame and contain unknown functions and nonsymmetric dead-zone. For this class of
Yanjun Liu +3 more
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In this paper, an adaptive fuzzy optimal control design is addressed for a class of unknown nonlinear discrete-time systems. The controlled systems are in a strict-feedback frame and contain unknown functions and nonsymmetric dead-zone. For this class of
Yanjun Liu +3 more
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On the Optimal Control of Boolean Control Networks
SIAM Journal of Control and Optimization, 2018In this paper, we study the optimal control problem of Boolean control networks (BCNs). An optimal input-state transfer graph (OISTG) is defined for BCNs with cost in every stage.
Qunxi Zhu +3 more
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Optimal control for networked control systems with disturbances: a delta operator approach
, 2017This study deals with the optimal control problem for a class of delta-domain networked control systems (NCSs) subjected to both matched and unmatched disturbances. In the presence of the disturbances, the so-called ϵ -optimum is proposed to quantify the
Yuan Yuan +4 more
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Control Systems, 2019
These notes are about optimal control. References from our text books are chapter 10 of Dixit (1990), chapter 20 Chiang and Wainwright (2005), and chapter 12.2 of De la Fuente (2000) (and chapter 13 for more examples).
J. Raol, R. Ayyagari
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These notes are about optimal control. References from our text books are chapter 10 of Dixit (1990), chapter 20 Chiang and Wainwright (2005), and chapter 12.2 of De la Fuente (2000) (and chapter 13 for more examples).
J. Raol, R. Ayyagari
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