DocumentCode
846083
Title
Some results on the asymptotic stability of second-order nonlinear systems
Author
Genes, R. ; Vicino, A.
Author_Institution
Politecnico di Torino, Torino, Italy
Volume
29
Issue
9
fYear
1984
fDate
9/1/1984 12:00:00 AM
Firstpage
857
Lastpage
861
Abstract
This note gives some stability results concerning second-order systems 
, where 
contains either linear and quadratic or linear and cubic terms in 
. Following a Lyapunov-like approach, a closed-form estimate for asymptotic stability regions of such systems is derived in terms of quadratic functions and then it is optimized with respect to its area. Some application examples show the good results of the proposed method, in comparison to those obtained by the classical numerical approaches.
, where contains either linear and quadratic or linear and cubic terms in . Following a Lyapunov-like approach, a closed-form estimate for asymptotic stability regions of such systems is derived in terms of quadratic functions and then it is optimized with respect to its area. Some application examples show the good results of the proposed method, in comparison to those obtained by the classical numerical approaches.Keywords
Asymptotic stability, nonlinear systems; Asymptotic stability; Diffusion processes; Estimation error; Filtering theory; Filters; Gaussian distribution; Hafnium; Nonlinear systems; Page description languages; Stochastic processes;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103656
Filename
1103656
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