@inproceedings{e01f167e3305416795bb5d630a9f4140,
title = "Discrete-Time optimal zero-sum games for nonlinear systems via adaptive dynamic programming",
abstract = "In this paper, a novel discrete-Time iterative zero-sum adaptive dynamic programming (ADP) algorithm is developed for solving the optimal control problems of nonlinear systems. Two iteration processes, which are lower and upper iterations, are employed to solve the lower and upper value functions, respectively. Arbitrary positive semi-definite functions are acceptable to initialize the upper and lower iterations of the iterative zero-sum ADP algorithm. It is proven that the upper and lower value functions converge to the optimal performance index function if the optimal performance index function exists, where the existence criterion of the optimal performance index function is unnecessary. Simulation examples are given to illustrate the effective performance of the present method.",
keywords = "adaptive dynamic programming, Approximate dynamic programming, optimal control, zero-sum game",
author = "Qinglai Wei and Ruizhuo Song and Yancai Xu and Derong Liu and Qiao Lin",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 6th IEEE Data Driven Control and Learning Systems Conference, DDCLS 2017 ; Conference date: 26-05-2017 Through 27-05-2017",
year = "2017",
month = oct,
day = "13",
doi = "10.1109/DDCLS.2017.8068097",
language = "English",
series = "Proceedings of 2017 IEEE 6th Data Driven Control and Learning Systems Conference, DDCLS 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "357--364",
editor = "Mingxuan Sun and Huijun Gao",
booktitle = "Proceedings of 2017 IEEE 6th Data Driven Control and Learning Systems Conference, DDCLS 2017",
address = "United States",
}