TY - JOUR
T1 - Domain-of-attraction estimation for uncertain non-polynomial systems
AU - Wu, Min
AU - Yang, Zhengfeng
AU - Lin, Wang
PY - 2014/9
Y1 - 2014/9
N2 - In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.
AB - In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. The efficiency of the presented method is illustrated by some numerical examples.
KW - Domain-of-attraction
KW - Non-polynomial systems
KW - Polynomial approximation
UR - https://www.scopus.com/pages/publications/84897048526
U2 - 10.1016/j.cnsns.2013.12.001
DO - 10.1016/j.cnsns.2013.12.001
M3 - 文章
AN - SCOPUS:84897048526
SN - 1007-5704
VL - 19
SP - 3044
EP - 3052
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 9
ER -