D-decomposition technique state-of-the-art View Full Text


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Article Info

DATE

2008-12

AUTHORS

E. N. Gryazina, B. T. Polyak, A. A. Tremba

ABSTRACT

It is a survey of recent extensions and new applications for the classical D-decomposition technique. We investigate the structure of the parameter space decomposition into root invariant regions for single-input single-output systems linear depending on the parameters. The D-decomposition for uncertain polynomials is considered as well as the problem of describing all stabilizing controllers of the certain structure (for instance, PID-controllers) that satisfy given H∞-criterion. It is shown that the D-decomposition technique can be naturally linked with M-Δ framework (a general scheme for analysis of uncertain systems) and it is applicable for describing feasible sets for linear matrix inequalities. The problem of robust synthesis for linear systems can be also treated via D-decomposition technique. More... »

PAGES

1991-2026

References to SciGraph publications

  • 1999-12. Hit-and-run mixes fast in MATHEMATICAL PROGRAMMING
  • 1987. A Course in H∞ Control Theory in NONE
  • 2003. Robust Linear Algebra and Robust Aperiodicity in DIRECTIONS IN MATHEMATICAL SYSTEMS THEORY AND OPTIMIZATION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0005117908120011

    DOI

    http://dx.doi.org/10.1134/s0005117908120011

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1037368182


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