Synthesis of nonlinear systems with prescribed singularities

1 May 1971

journal article
research article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory

Vol. 18 (3) , 375-382
https://doi.org/10.1109/tct.1971.1083293

Abstract

This paper presents an affirmative answer to the heretofore unresolved question as to whether an autonomous nonlinear system can always be synthesized to possess a finite number of prescribed singular points, as well as a prescribed set of eigenvalues associated with each singular point. The answer is given in the form of a new canonic nth-order nonlinear system containing(3n-2)single-valued functions. In the casen=2the canonic system is shown to possess many nice general properties which are useful for determining aspects of the system's global qualitative behavior, such as global stability.

Keywords

This publication has 3 references indexed in Scilit:

Synthesis of electronic bistable and monostable circuits
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2005
The 'frozen operating point' method of small-signal analysis
IEEE Transactions on Circuit Theory, 1970
Bistable Systems of Differential Equations with Applications to Tunnel Diode Circuits
IBM Journal of Research and Development, 1961