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
Link To Document :
