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  • Title: Issues on stability of ADP feedback controllers for dynamical systems.
    Author: Balakrishnan SN, Ding J, Lewis FL.
    Journal: IEEE Trans Syst Man Cybern B Cybern; 2008 Aug; 38(4):913-7. PubMed ID: 18632377.
    Abstract:
    This paper traces the development of neural-network (NN)-based feedback controllers that are derived from the principle of adaptive/approximate dynamic programming (ADP) and discusses their closed-loop stability. Different versions of NN structures in the literature, which embed mathematical mappings related to solutions of the ADP-formulated problems called "adaptive critics" or "action-critic" networks, are discussed. Distinction between the two classes of ADP applications is pointed out. Furthermore, papers in "model-free" development and model-based neurocontrollers are reviewed in terms of their contributions to stability issues. Recent literature suggests that work in ADP-based feedback controllers with assured stability is growing in diverse forms.
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