Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations

By Ricardo C. L. F. Oliveira, Pedro Luis Dias Peres. IEEE Transactions on Automatic Control, 2007

494 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/50a8b69dd5b5f83dc98cd1da11f1a6d5cf499e71

How researchers see this paper

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In Control and Systems Engineering

1. Graziano Chesi
2. Sigurdur Freyr Hafstein
3. Peter Giesl
4. Tiago J. M. Dezuo
5. Alexandre Trofino

In Numerical Analysis

1. Graziano Chesi
2. Sigurdur Freyr Hafstein
3. Peter Giesl
4. Tiago J. M. Dezuo
5. Alexandre Trofino

Citations in the corpus

• LMI Techniques for Optimization Over Polynomials in Control: A Survey (2010, methodology): “Another technique for investigating (62) via Lyapunov functions with homogeneous dependence on the parameters has been proposed in [46] based on the direct use of Pólya’s theorem in Section V-A.”