Title :
On the construction of certain Dulac functions
Author :
SÁez, Eduardo ; SzÁnto, Ivan
Author_Institution :
Dept. de Matematica, Univ. Tecnica Federico, Valparaiso, Chile
fDate :
9/1/1988 12:00:00 AM
Abstract :
Using methods for the construction of Lyapunov functions, some Dulac functions are obtained that assure the nonexistence of closed paths for second-order dynamical systems
Keywords :
integration; matrix algebra; Dulac functions; Lyapunov functions; second-order dynamical systems; Differential equations; Limit-cycles; Lyapunov method; Nonlinear dynamical systems; Nonlinear equations; Stability analysis; Testing; US Department of Transportation;
Journal_Title :
Automatic Control, IEEE Transactions on