Controlled Invariant Submanifolds and Nonlinear Zero Dynamics

  • Henk Nijmeijer
  • Arjan van der Schaft


In Chapter 3.3 we have seen that the notion of an A-invariant subspaces\( \mathcal{V} \subset {\mathbb{R}}^n \) for a linear set of differential equations \( \dot{x} = Ax,x \in {\mathbb{R}}^{n} \), can be conveniently generalized to nonlinear differential equations \( \dot{x} = f(x),x \in M \), by introducing the notion of an invariant foliation or invariant (constant dimensional and involutive) distribution.


Regular Point Nonlinear Control System Constant Rank Feedback Stabilization Inverse System 
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Copyright information

© Springer Science+Business Media New York 1990, Corrected printing 2016 1990

Authors and Affiliations

  1. 1.Dynamics and Control GroupEindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Johann Bernoulli Institute for Mathematics and Computer ScienceUniversity of GroningenGroningenThe Netherlands

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