Optimization over positive polynomial matrices

Genin, Yves;Nesterov, Yurii;Van Dooren, Paul
(2000) 14th Int. Symp. Math. Th. Netw. & Syst. MTNS 2000 — Location: Perpignan (France)

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  • Genin, YvesUCLouvain
    Author
  • Nesterov, YuriiUCLouvain
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
Positive polynomial matrices play a fundamental role in systems and control theory. We give here a simplified proof of the fact that the convex set of positive polynomial matrices can be parameterized using block Hankel and block Toeplitz matrices. We also show how to derive efficient computational algorithms for optimization problems over positive pseudo polynomial matrices over the real line, over the imaginary axis and over the unit circle.
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Genin, Y., Nesterov, Y., & Van Dooren, P. (2000). Optimization over positive polynomial matrices. 14th Int. Symp. Math. Th. Netw. & Syst. MTNS 2000, Perpignan (France). https://hdl.handle.net/2078.5/226069