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Robust stability of nested polynomial families

  • Published:1996-03 Issue:3 Volume:32 Page:365-367
  • ISSN:0005-1098
  • Container-title:Automatica
  • language:en
  • Short-container-title:Automatica

Author:

Kharitonov Vladimir L.

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Control and Systems Engineering

Reference10 articles.

1. The tree structured decomposition: a new approach to robust stability analysis;Barmish,1989

2. An extreme point result for robust stability of a diamond family of polynomials;Barmish;IEEE Trans. Autom. Control,1992

3. Root location of an entire polytope of polynomials: it suffices to check the edges;Bartlett;IEEE Trans. Autom. Control,1988

4. Convexity of frequency response arcs associated with a stable polynomial;Hamann,1992

5. When is the image of a multilinear function a polytope? A conjecture;Hollot,1989

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1. Determination of vertex polynomials to analyse robust stability of control systems with interval parameters;IET Control Theory & Applications;2020-10-29

2. Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions;Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference;2009-12

3. Robust Stability of Polytopic Systems via Affine Parameter-Dependent Lyapunov Functions;SIAM Journal on Control and Optimization;2008-01

4. Preservation of stability in multidimensional systems using SPR0 functions;IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications;2002-11

5. On the preservation of stability in families of polynomials via substitutions;International Journal of Robust and Nonlinear Control;2000
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