Document Type


Source Publication Title

Technical Report 42


The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and effectively applied for large scale dynamical systems [1, 3]. However, the problem of constructing vector Lyapunov functions and developing appropriate perturbation theory has seen very little progress. Perhaps one of the reasons for this situation is that the stability definitions by means of the standard norm are not flexible enough for such a venture.


Mathematics | Physical Sciences and Mathematics

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Mathematics Commons



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