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Author Menini, L. ♦ Tornambè, A.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2010
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Polynomials ♦ Barium ♦ Nonlinear systems ♦ Eigenvalues and eigenfunctions ♦ Integral equations ♦ Transmission line matrix methods
Abstract A Lax pair is a classical tool for the computation of first integrals of continuous-time nonlinear systems. Semi-invariants extend the concept of first integral and generalize the concept of the pair (eigenvalue, left eigenvector) of a linear mapping to the nonlinear framework, whence play the role of basic bricks for the computation of Lyapunov functions in closed-form. In this paper, it is shown how Lax pairs can be generalized to allow semi-invariants to be computed in an algebraic way. The geometric nature of this generalization allows a parallel treatment of both continuous-time and discrete-time systems.
Description Author affiliation: Dipartimento di Informatica, Sistemi e Produzione, Università di Roma Tor Vergata, via del Politecnico, 1, 00133, Italy (Menini, L.; Tornambè, A.)
ISBN 9781424477456
ISSN 07431546
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2010-12-15
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
e-ISBN 9781424477463
Size (in Bytes) 224.54 kB
Page Count 6
Starting Page 5384
Ending Page 5389

Source: IEEE Xplore Digital Library