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Stabilization for a Class of Large-Scale Stochastic Nonlinear Systems with Decentralized Controller Design

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Abstract

In this paper, a state feedback adaptive stabilization for a class of large-scale stochastic nonlinear systems is designed with Lyapunov and Backstepping method. In the systems there are uncertain terms, whose bounds are governed by a set of unknown parameters. The designed controllers would make the close-loop systems asymptotically stable and adaptive for the unknown parameters. As an application, a second order example is delivered to illustrate the approach.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450052, China

    Xiaowu Mu & Haijun Liu

Authors
  1. Xiaowu Mu
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  2. Haijun Liu
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Correspondence to Xiaowu Mu.

Additional information

The research is supported by the National Science Foundation of Henan Educational Committee of China (No. 2003110002).

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Mu, X., Liu, H. Stabilization for a Class of Large-Scale Stochastic Nonlinear Systems with Decentralized Controller Design. Jrl Syst Sci & Complex 20, 127–134 (2007). https://doi.org/10.1007/s11424-007-9011-8

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  • DOI: https://doi.org/10.1007/s11424-007-9011-8

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