On stability analysis methods for large-scale discrete-time systems
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Rob H. Gielen [1] ; Mircea Lazar [1]
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[1] Eindhoven University of Technology
Eindhoven University of Technology
Países Bajos
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- Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 55, 2015, págs. 66-72
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
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.
