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Titlebook: Domain of Attraction; Analysis and Control Graziano Chesi Book 2011 Springer London 2011 Control Theory.Equilibrium Point.Nonlinear Systems

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書(shū)目名稱Domain of Attraction
副標(biāo)題Analysis and Control
編輯Graziano Chesi
視頻videohttp://file.papertrans.cn/283/282515/282515.mp4
概述Offers instructors a concise and simple description of the main features of SOS programming which can be used in the classroom.Gives readers a systematic strategy for the estimation and control of the
叢書(shū)名稱Lecture Notes in Control and Information Sciences
圖書(shū)封面Titlebook: Domain of Attraction; Analysis and Control Graziano Chesi Book 2011 Springer London 2011 Control Theory.Equilibrium Point.Nonlinear Systems
描述For nonlinear dynamical systems, which represent the majority of real devices, any study of stability requires the investigation of the domain of attraction of an equilibrium point, i.e. the set of initial conditions from which the trajectory of the system converges to equilibrium. Unfortunately, both estimating and attempting to control the domain of attraction are very difficult problems, because of the complex relationship of this set with the model of the system. Domain of Attraction addresses the estimation and control of the domain of attraction of equilibrium points via SOS programming, i.e. optimization techniques based on the sum of squares of polynomials (SOS) that have been recently developed and that amount to solving convex problems with linear matrix inequality constraints. A unified framework for addressing these issues is presented for in various cases depending on the nature of the nonlinear systems considered, including the cases of polynomial, non-polynomial, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related pro
出版日期Book 2011
關(guān)鍵詞Control Theory; Equilibrium Point; Nonlinear Systems; Sum of Squares Programming; System Estimation; comp
版次1
doihttps://doi.org/10.1007/978-0-85729-959-8
isbn_softcover978-0-85729-958-1
isbn_ebook978-0-85729-959-8Series ISSN 0170-8643 Series E-ISSN 1610-7411
issn_series 0170-8643
copyrightSpringer London 2011
The information of publication is updating

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0170-8643 l, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related pro978-0-85729-958-1978-0-85729-959-8Series ISSN 0170-8643 Series E-ISSN 1610-7411
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Book 2011ture of the nonlinear systems considered, including the cases of polynomial, non-polynomial, certain and uncertain systems. The methods proposed are illustrated various example systems such as electric circuits, mechanical devices, and nuclear plants. Domain of Attraction also deals with related pro
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Rupal N. Mehta,Rachel E. Whitlarking the representation of parameter-dependent polynomials and matrix polynomials via power vectors and the SMR, the concepts of SOS parameter-dependent polynomials and SOS matrix polynomials, and their characterization via the SMR and LMIs. Then, the problem of extracting power vectors from linear s
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