Geometric Theory of Nonlinear Systems: Applications

  • Alberto Isidori
Part of the Communications and Control Engineering book series (CCE)


In this Chapter we show how the concepts introduced and developed in Chapter 6 can be effectively used in the solution of a number of important synthesis problems. We begin by considering the problem of local asymptotic stabilization at a certain equilibrium point. Our purpose is to extend the results developed in section 4.4, by showing that if the zero dynamics of a system are asymptotically stable at this point, the system itself can be locally asymptotically stabilized via state feedback. Of course, as stressed at the beginning of that section, our results are of special relevance only in case the linear approximation of the system is not stabilizable.


Vector Field Nonlinear System Closed Loop System Static Feedback Invariant Manifold 
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Copyright information

© Springer-Verlag London 1995

Authors and Affiliations

  • Alberto Isidori
    • 1
  1. 1.Dipartimento di Informatica e Sistemistica “Antonio Ruberti”RomaItaly

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