Domain of Attraction
Analysis and Control Via SOS Programming
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ISBN-13:
9780857299581
Veröffentl:
2011
Erscheinungsdatum:
21.08.2011
Seiten:
286
Autor:
Graziano Chesi
Gewicht:
436 g
Format:
236x159x20 mm
Sprache:
Englisch
Beschreibung:
The stability of equilibrium points plays a fundamental role in dynamical systems. For nonlinear dynamical systems, which represent the majority of real plants, an investigation of stability requires the characterization of the domain of attraction (DA) of an equilibrium point, i.e., the set of initial conditions from which the trajectory of the system converges to such a point. It is well-known that estimating the DA, or even more attempting to control it, are very difficult problems because of the complex relationship of this set with the model of the system.
Offers instructors a concise and simple description of the main features of SOS programming which can be used in the classroom
SOS Polynomials.- Optimization with SOS Polynomials.- Preliminaries of Nonlinear Systems.- Domain of Attraction in Polynomial Systems.- Domain of Attraction in Uncertain Polynomial Systems.- Domain of Attraction in Non-polynomial Systems.- Domain of Attraction via Multiple Lyapunov Function.- Miscellaneous.
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