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On stability analysis methods for large-scale discrete-time systems
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DOI：10.1016/j.automatica.2015.02.034.png)
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摘要
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This paper proposes a set of Lyapunov-type conditions that are suited for stability analysis of large-scale discrete-time systems. A time-wise relaxation of the Lyapunov function decrease condition is employed to derive a set of global and distributed stability conditions. Essentially, these conditions allow to make a trade-off between complexity and conservatism by extending the time-horizon over which the decrease condition should hold. It is shown that for exponentially stable dynamics and any candidate Lyapunov function, there exists a finite time for which the proposed global or distributed stability conditions hold. Hence, it is possible to use functions with a particular structure to make verification of stability scalable for large-scale systems. The developed results are applied to establish stability of a benchmark power systems example. (C) 2015 Elsevier Ltd. All rights reserved.
Keyword:
Large-scale systems
Discrete-time systems
Stability analysis
Lyapunov methods
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期刊
IF:
5.9
论文数:
1.2W
被引数:
5.2W
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