Complete stability analysis of a heuristic approximate dynamic programming control design
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Publication:894322
DOI10.1016/j.automatica.2015.06.001zbMath1338.90442arXiv1308.3282OpenAlexW173093232MaRDI QIDQ894322
Ludmilla D. Werbos, Robert Kozma, Paul J. Werbos, Yury Sokolov
Publication date: 30 November 2015
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.3282
Lyapunov functionadaptive controlneural networkgradient descentadaptive dynamic programmingadaptive criticaction-dependent heuristic dynamic programming
Approximation methods and heuristics in mathematical programming (90C59) Dynamic programming (90C39)
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Cites Work
- Unnamed Item
- Unnamed Item
- An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games
- Adaptive dynamic programming for control. Algorithms and stability
- Model-free \(Q\)-learning designs for linear discrete-time zero-sum games with application to \(H^\infty\) control
- A boundedness result for the direct heuristic dynamic programming
- Stability of dynamical systems. Continuous, discontinuous, and discrete systems
- Optimal control of unknown nonaffine nonlinear discrete-time systems based on adaptive dynamic programming
- Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
- Nearly Optimal Control Scheme Using Adaptive Dynamic Programming Based on Generalized Fuzzy Hyperbolic Model
- Approximate Dynamic Programming
- Universal approximation bounds for superpositions of a sigmoidal function