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arxiv: math/0206191 · v1 · submitted 2002-06-18 · 🧮 math.OC

Gradient algorithms for finding common Lyapunov functions

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keywords algorithmscommonconvergencefamiliesfindinggradientlyapunovconcerned
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This paper is concerned with the problem of finding a quadratic common Lyapunov function for a family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.

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