Studies on the stability of two dimensional analog nonlinear circuits

Author

Reddy, Haranatha C. ; Moschytz, George S.

Author_Institution

Dept. of Electr. Eng., California State Univ., Long Beach, CA, USA

Volume

6

fYear

1994

fDate

30 May-2 Jun 1994

Firstpage

77

Abstract

The paper proposes: (1) linearization procedure for nonlinear state equations obtained from two-dimensional (2-D) analog nonlinear circuits and; (2) characterization of the equilibrium point stability based on various two-variable (2-V) Hurwitz properties. It is concluded that at the equilibrium point (EP), 2-D nonlinear circuit is asymptotically stable if the characteristic equation obtained from linearized system exhibits 2-V very strict Hurwitz property. The necessary condition for the asymptotic stability imposes the 2-V scattering Hurwitz property on the characteristic polynomial of the linearized system

Keywords

Jacobian matrices; analogue circuits; asymptotic stability; circuit stability; linearisation techniques; nonlinear network analysis; polynomials; state-space methods; 2D analog nonlinear circuits; asymptotic stability; characteristic equation; characteristic polynomial; equilibrium point stability; linearization procedure; nonlinear state equations; scattering Hurwitz property; two dimensional nonlinear circuits; two-variable Hurwitz properties; Analog circuits; Circuit stability; Circuit testing; Multidimensional systems; Nonlinear circuits; Nonlinear equations; Partial differential equations; Polynomials; State-space methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on

Conference_Location

London

Print_ISBN

0-7803-1915-X

Type

conf

DOI

10.1109/ISCAS.1994.409530

Filename

409530