Multiple Solutions for a Class of Continuous Nonlinear Systems

[+] Author and Article Information
A. J. Fish

Western New England College, Springfield, Mass. 01119

J. Dyn. Sys., Meas., Control 108(2), 96-105 (Jun 01, 1986) (10 pages) doi:10.1115/1.3143763 History: Received March 03, 1986; Online July 21, 2009


A nonlinear state space representation of a nonlinear system implies that the system has a unique solution for a given set of initial conditions and system controls. But not all nonlinear systems have unique solutions for a given set of initial conditions and system controls. This paper presents an algebraic theory for solving continuous nonlinear systems equations that have multiple solutions.

Copyright © 1986 by ASME
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