Title :
Passivity analysis of discrete-time hybrid systems using piecewise polynomial storage functions
Author :
Bemporad, Alberto ; Bianchini, Gianni ; Brogi, Filippo ; Chesi, Graziano
Author_Institution :
Dipartimento di Ingegneria dell’Informazione, Università di Siena, Via Roma 56, 53100 Siena, Italy bemporad@dii.unisi.it
Abstract :
This paper proposes some sufficient criteria based on the computation of polynomial and piecewise polynomial storage functions for checking passivity of discrete-time hybrid systems in piecewise affine or piecewise polynomial form. The computation of such storage functions is performed by means of convex optimization techniques via the sum of squares decomposition of multivariate polynomials.
Keywords :
Hybrid systems; discrete-time models; passive systems; sum of squares decomposition; Circuit stability; Fasteners; Haptic interfaces; Human robot interaction; Integrated circuit interconnections; Interconnected systems; Mechanical systems; Polynomials; Stability analysis; Virtual environment; Hybrid systems; discrete-time models; passive systems; sum of squares decomposition;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583024
