A Combined Time-Frequency Condition for Stability of Time-Varying Systems With One Nonlinearity

[+] Author and Article Information
R. E. Blodgett

Research Center, Kearfort Division, Singer-General Precision, Inc., Little Falls, N. J.

K. P. Young

Polytechnic Institute of Brooklyn, Brooklyn, N. Y.

J. Dyn. Sys., Meas., Control 93(4), 261-267 (Dec 01, 1971) (7 pages) doi:10.1115/1.3426511 History: Received August 25, 1971; Online July 13, 2010


A means is presented for determining stability of linear time-varying systems with one feedback nonlinearity. The stability condition involves the minimization of certain time functions of the system coefficients as well as the imaginary axis behavior of a polynomial. It is required that the equation of the linear time-varying system be asymptotically stable and be in phase variable form. The nonlinearity is restricted to lie in a sector. For the limiting case of an autonomous linear system the criterion reduces to the Popov stability condition in certain cases.

Copyright © 1971 by ASME
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