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

fYear

1994

fDate

20-22 Mar 1994

Firstpage

316

Lastpage

320

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;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1994., Proceedings of the 26th Southeastern Symposium on

Conference_Location

Athens, OH

ISSN

0094-2898

Print_ISBN

0-8186-5320-5

Type

conf

DOI

10.1109/SSST.1994.287861

Filename

287861

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1827533