Stability Analysis of a Class of Interconnected Systems

[+] Author and Article Information
E. Barbieri

Department of Electrical Engineering, Tulane University, New Orleans, LA 70118

J. Dyn. Sys., Meas., Control 115(3), 546-551 (Sep 01, 1993) (6 pages) doi:10.1115/1.2899136 History: Received October 04, 1991; Revised July 17, 1992; Online March 17, 2008


There exists a class of systems that is characterized by having a so called regular cellular structure or homogeneous interconnection. In this note, the bilateral Z-Transform is used to obtain a mathematical model parametrized by z and it is shown that the stability properties of the system can be more easily investigated by a simple test applied to the parametrized model. The analysis is illustrated via three examples: the heat equation, the Euler-Bernoulli beam, and decentralized control of a countably infinite string of interconnected mass-spring-damper systems.

Copyright © 1993 by The American Society of Mechanical Engineers
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