Title :
On three dimensional point dissipative systems of differential equations with quadratic nonlinearity
Author :
Bose, Anil K. ; Cover, Alan S. ; Reneke, James A.
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC, USA
Abstract :
Sufficient conditions are developed for three-dimensional quadratic systems with conservative nonlinearities to be point dissipative. The conditions are motivated geometrically. Lorenz systems are shown to fall within the class of systems studied
Keywords :
differential equations; matrix algebra; multidimensional systems; Lorenz systems; conservative nonlinearities; differential equations; matrix algebra; multidimensional systems; quadratic nonlinearity; quadratic systems; three dimensional point dissipative systems; Differential equations; Eigenvalues and eigenfunctions; Geometry; H infinity control; Lyapunov method; Sufficient conditions;
Conference_Titel :
System Theory, 1990., Twenty-Second Southeastern Symposium on
Conference_Location :
Cookeville, TN
Print_ISBN :
0-8186-2038-2
DOI :
10.1109/SSST.1990.138193
