Stability of large-scale nonlinear systems--Quadratic-order theory of composite-system method using M-matrices
- 1 April 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 23 (2), 129-142
- https://doi.org/10.1109/tac.1978.1101728
Abstract
The composite-system method for analyzing stability of large-scale system is studied focusing on the quadratic-order theorems usingM-matrices. Here, by the term "composite-system method", we refer to the method to decompose a large-scale system into smaller subsystems and to make two-step analysis (i.e., first to analyze subsystems and second to combine the results to reduce the property of the whole). Theories about Lyapunov stability and about input-output stability are described from a unified standpoint and their mutual relation is clarified. As an application, multi-input multi-output systems. The contents are generally useful for stability analysis of large-scale nonlinear systems.Keywords
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