Stability Analysis of a Class of Interconnected Systems
- 1 September 1993
- journal article
- Published by ASME International in Journal of Dynamic Systems, Measurement, and Control
- Vol. 115 (3) , 546-551
- https://doi.org/10.1115/1.2899136
Abstract
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.Keywords
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