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Ellipsoidal aproximation of the stability domain of polynomial
- 1.0410632 - UTIA-B 20010101 RIV PT eng C - Conference Paper (international conference)
Henrion, Didier - Peaucelle, D. - Arzelier, D. - Šebek, M.
Ellipsoidal aproximation of the stability domain of polynomial.
Porto: EUCA, 2001. In: Proceedings of the European Control Conference 2001., s. 384-389
[European Control Conference. ECC 2001. Porto (PT), 04.09.2001-07.09.2001]
R&D Projects: GA ČR GA102/99/1368
Institutional research plan: AV0Z1075907
Keywords : linear systems * stability * polynomial
Subject RIV: BC - Control Systems Theory
The stability region in the space of coefficients of a polynomial is a non-convex region in general. In this paper, we propose a new convex ellipsoidal inner approximation of this region derived via optimization over linear matrix inequalities. As a byproduct, we obtain new simple sufficient conditions for stability that may prove useful in robust control design.
Permanent Link: http://hdl.handle.net/11104/0130721
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