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Global Controllability of Affine Control Systems

In: Analysis and Design of Nonlinear Control Systems

Author

Listed:
  • Daizhan Cheng

    (Chinese Academy of Sciences, Academy of Mathematics & Systems Science)

  • Xiaoming Hu

    (Royal Institute of Technology, Optimization and Systems Theory)

  • Tielong Shen

    (Sophia University, Department of Engineering and Applied Sciences)

Abstract

This chapter investigates global controllability of general affine control systems, including linear and nonlinear, switched and non-switched ones. The main purpose is to establish criteria for the controllability of nonlinear systems, which is similar to those for linear systems. Since controllability is a property of a set of vector fields, there is no essential difference between switched and non-switched systems as far as controllability is concerned. That is the reason we treat all types of systems together.

Suggested Citation

  • Daizhan Cheng & Xiaoming Hu & Tielong Shen, 2010. "Global Controllability of Affine Control Systems," Springer Books, in: Analysis and Design of Nonlinear Control Systems, chapter 0, pages 147-172, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11550-9_6
    DOI: 10.1007/978-3-642-11550-9_6
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