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Stabilization of Switched Nonlinear Systems with Unstable Modes pp 55–97Cite as

Switched Nonlinear Systems with All Unstable Modes

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 9))

Abstract

The stabilization problem of SNS with all unstable modes is much more challenging than that in Chap.2 since we cannot utilize the tradeoff between stable modes and unstable modes. This motivates us to analyze the internal behavior of each mode. Section 3.1 proposes a time-dependent switching law for general SNS based on interconnected system approach, followed by Sect. 3.2 where both time-dependent and state-dependent switching laws are provided for nonminimum phase SNS. The results are applied to supervisory control design of nonlinear systems in Sect. 3.3 and target aggregation problem of multi-agent systems in Sect. 3.4.

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Author information

Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Hao Yang & Bin Jiang

  2. LAGIS, UMR CNRS 8219, Université de Lille 1 Sciences et Technologies, Villeneuve d’Ascq cedex, France

    Vincent Cocquempot

Authors
  1. Hao Yang
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  2. Bin Jiang
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  3. Vincent Cocquempot
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Correspondence to Hao Yang .

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Yang, H., Jiang, B., Cocquempot, V. (2014). Switched Nonlinear Systems with All Unstable Modes. In: Stabilization of Switched Nonlinear Systems with Unstable Modes. Studies in Systems, Decision and Control, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-319-07884-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-07884-7_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07883-0

  • Online ISBN: 978-3-319-07884-7

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