DocumentCode :
743857
Title :
Determining Passivity Using Linearization for Systems With Feedthrough Terms
Author :
Xia, M. ; Antsaklis, P.J. ; Gupta, V. ; McCourt, M.J.
Author_Institution :
Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA
Volume :
60
Issue :
9
fYear :
2015
Firstpage :
2536
Lastpage :
2541
Abstract :
In this technical note, we consider the following problem: what passivity properties for a nonlinear system can be inferred when its linearization around an equilibrium point is known to be passive. We consider both continuous-time and discrete-time systems with feedthrough terms. Our main results show that when the linearized model is simultaneously strictly passive and strictly input passive, the nonlinear system is passive as well within a neighborhood of the equilibrium point around which the linearization is done.
Keywords :
continuous time systems; discrete time systems; linearisation techniques; nonlinear systems; continuous-time systems; discrete-time systems; equilibrium point; feedthrough terms; linearized model; nonlinear system; passivity property determination; Analytical models; Discrete-time systems; Educational institutions; Linear systems; Nonlinear systems; Stability analysis; Symmetric matrices; Continuous-time; discrete-time; dissipativity; linearization; passivity;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2014.2383013
Filename :
6990517
Link To Document :
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