Gradient algorithms for finding common Lyapunov functions
Daniel LiberzonCoordinated Sci. Lab., Illinois Univ., Urbana, IL, USA#TAB#Roberto TempoPolytechnic University of Turin
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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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