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Dissipative Systems

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Analysis and Design of Nonlinear Control Systems

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Abstract

This chapter discusses the dissipative systems. First, the definition and the properties of two kinds of dissipative systems, mainly passive system and γ-dissipative system, are introduced in Section 13.1. Then, the conditions for verifying passivity and dissipativity are presented in Section 13.2. Based on these conditions, the controller design problem is investigated in Section 13.3. Finally, two classes of main dissipative systems, mainly Lagrange systems and Hamiltonian systems are studied in Section 13.4 and Section 13.5 respectively.

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References

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Author information

Authors and Affiliations

  1. Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Bei**g, 100190, China

    Daizhan Cheng

  2. Optimization and Systems Theory, Royal Institute of Technology, 100 44, Stockholm, Sweden

    **aoming Hu

  3. Department of Engineering and Applied Sciences, Sophia University, Kiocho 7-1, Chiyoda-ku, Tokyo, 102-8554, Japan

    Tielong Shen

Authors
  1. Daizhan Cheng
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  2. **aoming Hu
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  3. Tielong Shen
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© 2010 Science Press Bei**g and Springer-Verlag Berlin Heidelberg

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Cheng, D., Hu, X., Shen, T. (2010). Dissipative Systems. In: Analysis and Design of Nonlinear Control Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11550-9_13

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