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Stabilization of nonlinear time-varying systems: a control lyapunov function approach

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Abstract

This paper presents a control Lyapunov function approach to the global stabilization problem for general nonlinear and time-varying systems. Explicit stabilizing feedback control laws are proposed based on the method of control Lyapunov functions and Sontag's universal formula.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, 11201, USA

    Zhongping Jiang

  2. Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, 33431, USA

    Yuandan Lin & Yuan Wang

Authors
  1. Zhongping Jiang
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  2. Yuandan Lin
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  3. Yuan Wang
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Corresponding author

Correspondence to Zhongping Jiang.

Additional information

This work has been supported in part by National Science Foundation under Grants Nos. ECS-0093176, DMS-0906659, and DMS-0504296, and in part by National Natural Science Foundation of China under Grant Nos. 60228003 and 60628302.

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Jiang, Z., Lin, Y. & Wang, Y. Stabilization of nonlinear time-varying systems: a control lyapunov function approach. J Syst Sci Complex 22, 683–696 (2009). https://doi.org/10.1007/s11424-009-9195-1

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  • DOI: https://doi.org/10.1007/s11424-009-9195-1

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