Uniform asymptotic stability of non-linear singularly perturbed general and large-scale systems
- 1 March 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 33 (3) , 481-504
- https://doi.org/10.1080/00207178108922936
Abstract
New general advantageous criteria are established for uniform asymptotic stability of singularly perturbed general and large-scale systems possibly containing non-differentiable non-linearities, which often appear in control systems. For systems with multiple time scales caused by several small parameters, or for large-scale systems, an essential order reduction of aggregation matrices is achieved. The results are conceptually and numerically applied to the absolute stability analysis of singularly perturbed Lurie-Postnikov systems.Keywords
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