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Open Access Publications from the University of California

Stabilization of nonlinear systems with limited information feedback

  • Author(s): Liberzon, Daniel
  • Hespanha, Joao P
  • et al.

This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

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