On the Almost Sure Stability of Linear Stochastic Systems

[+] Author and Article Information
F. T. Man

Department of Electrical Engineering, University of Toronto, Toronto, Ontario, Canada

J. Appl. Mech 37(2), 541-543 (Jun 01, 1970) (3 pages) doi:10.1115/1.3408546 History: Received October 07, 1969; Online April 06, 2010


A new sufficient condition for the almost surely asymptotic stability of ergodic coefficient linear stochastic systems is presented and is compared with previously published results. Two examples are given to illustrate the sufficient condition thus derived and to demonstrate the considerable extension, using this method, of the region of stability over the existing results.

Copyright © 1970 by ASME
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