In this paper we consider the problem of covering the image of a given function by a polytope. This problem arises in both the robust and quadratic stability context. We present two main algorithms: the first one performs such a covering and works under quite general assumptions on the nature of the function; the second one is iterative and allows us to improve at will the goodness of the covering. The convergence properties of this algorithm are also discussed. Finally two examples of application of our techniques are presented.

Robust and Quadratic Stability via Polytopic Set Covering

GLIELMO L;
1995

Abstract

In this paper we consider the problem of covering the image of a given function by a polytope. This problem arises in both the robust and quadratic stability context. We present two main algorithms: the first one performs such a covering and works under quite general assumptions on the nature of the function; the second one is iterative and allows us to improve at will the goodness of the covering. The convergence properties of this algorithm are also discussed. Finally two examples of application of our techniques are presented.
Robustness (control systems); Quadratic stability analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/5176
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