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On the Geometry of Inner Approximations to the Set of Null Controllability for Constrained Linear Systems

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  • J. P. Quinn

Abstract

The problem of obtaining inner approximations to the set $$\mathcal{N}$$ of null controllability for linear systems is considered, and the geometry of certain sets arising in the approximation of $$\mathcal{N}$$ using linear feedback is explored. A two-dimensional example is worked in detail in order to delineate the limitations to the use of linear feedback.

Suggested Citation

  • J. P. Quinn, 2001. "On the Geometry of Inner Approximations to the Set of Null Controllability for Constrained Linear Systems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 681-693, September.
    • Handle: RePEc:spr:joptap:v:110:y:2001:i:3:d:10.1023_a:1017500731052
    DOI: 10.1023/A:1017500731052
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