Title :
Point dissipative 2D systems with conservative homogeneous nonlinear term
Author :
Bose, Anil ; Cover, Alan ; Reneke, James
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC, USA
Abstract :
We study a class of nonlinear dynamical systems whose nonlinear terms are homogeneous polynomials of degree m. A system is point dissipative if there exists a closed bounded set which every trajectory eventually enters and remains within. This is an extension of previous results for homogeneous quadratic polynomials
Keywords :
multidimensional systems; nonlinear differential equations; nonlinear dynamical systems; polynomials; closed bounded set; conservative homogeneous nonlinear term; homogeneous polynomials; homogeneous quadratic polynomials; nonlinear dynamical systems; point dissipative 2D systems; Differential equations; Feedback; Lyapunov method; Nonlinear dynamical systems; Polynomials; Stochastic processes; System performance; White noise;
Conference_Titel :
System Theory, 1994., Proceedings of the 26th Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-8186-5320-5
DOI :
10.1109/SSST.1994.287861
