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Stochastic Differential Game of Discrete-Time Markov Jump Linear Systems

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Non-cooperative Stochastic Differential Game Theory of Generalized Markov Jump Linear Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 67))

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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.

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References

  1. 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.

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  4. 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.

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Correspondence to Cheng-ke Zhang .

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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

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  • DOI: https://doi.org/10.1007/978-3-319-40587-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40586-5

  • Online ISBN: 978-3-319-40587-2

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