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Lumped iteration method for stability analysis of large-scale dynamical systems of neutral type. (English) Zbl 0679.34047

The author addresses the problem of stability analysis for large scale dynamical systems. Lyapunov functions can be very difficult to find for high dimensional systems with complicated structure. The author develops a method, called the lumped iteration method, for the stability analysis of large-scale dynamical systems of neutral type. This method is then applied to investigate the stability of linear, time-dependent large- scale dynamical systems of neutral type.
Reviewer: W.Satzer

MSC:

37-XX Dynamical systems and ergodic theory
93A15 Large-scale systems
34D99 Stability theory for ordinary differential equations
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