Předmět Lineární maticové nerovnosti (XP35LMI)

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Materiál	Typ	Datum	Počet stažení

Literatura

# S. Boyd, L. Vandenberghe. Convex Optimization, Cambridge UniversityPress, 2005# A. Ben-Tal, A. Nemirovskii. Lectures on modern convex optimization:analysis, algorithms and engineering applications. SIAM, Philadelphia,2001. Most of the material there can be found in various lecture notes andslides available at A. Nemirovksii's webpage at Georgia Tech.LMI representation of semialgebraic sets and lift-and-project techniquesare described in:# A. Ben-Tal, A. Nemirovskii. Lectures on modern convex optimization:analysis, algorithms and engineering applications. SIAM, Philadelphia,2001# P. A. Parrilo, S. Lall. SDP Relaxations and Algebraic Optimization inControl. ECC'03 and CDC'03 workshops, whose slides are available at P. A.Parrilo's webpage at MIT.Modern state-space LMI methods in control are nicely surveyed in:# C. Scherer, S. Weiland. LMIs in Control, Lecture Notes at DelftUniversity of Technology and Eindhoven University of Technology, 2005.Polynomials methods for robustness analysis are well described in# B. R. Barmish. New tools for robustness of linear systems. MacMillan,1994.Polynomial methods and LMI optimization for fixed-order robust controllerdesign are described in parts III and IV of:# D. Henrion. Course on polynomial methods for robust control, LAAS-CNRSToulouse, 2001as well as in the papers# D. Henrion, M. Sebek, V. Kucera. Positive Polynomials and RobustStabilization with Fixed-Order Controllers, IEEE Transactions on AutomaticControl, Vol. 48, No. 7, pp. 1178-1186, July 2003# D. Henrion, D. Arzelier, D. Peaucelle. Positive Polynomial Matrices andImproved LMI Robustness Conditions, Automatica, Vol. 39, No. 8, pp.1479-1485, August 2003.

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Didier Henrion

Vyučující

Didier Henrion