Abstract
This chapter investigated the stochastic differential game theory of discrete-time markov jump linear systems, in which the state equation is described by Itô’s stochastic algebraic equation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wen-Xin, Cai, Yang-Wang, Fang, Rui, Li, & You-Li, Wu. (2012). Optimal control for Markov jump linear systems. Systems Engineering and Electronics, 34(7), 1458–1462.
Freilng, G., Jank, G., & Lee, S. R. (2001). Existence and uniqueness of open-loop Stackelberg equilibria in linear-quadratic differential games. Journal of Optimization Theory and Applications, 110(3), 515–544.
Willems, J. L., & Willems, J. C. (1976). Feedback stabilizability for stochastic systems with state and control dependent noise [J]. Automatica, 12(3), 277–283.
Hou, T., Zhang, W., Ma, H. (2010). Finite horizon H2/H∞ control for discrete-time stochastic systems with markovian jumps and multiplicative noise [J]. IEEE Transactions on Automatic Control, 55(5), 1185–1191.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this paper
Cite this paper
Zhang, Ck., Zhu, Hn., Zhou, Hy., Bin, N. (2017). Stochastic Differential Game of Discrete-Time Markov Jump Linear Systems. In: Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems. Studies in Systems, Decision and Control, vol 67. Springer, Cham. https://doi.org/10.1007/978-3-319-40587-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-40587-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-40586-5
Online ISBN: 978-3-319-40587-2
eBook Packages: EngineeringEngineering (R0)