A Geometric Approach to Parameter Dependent Lyapunov Functions.
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概要
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In this paper we investigate parameter dependent Lyapunov functions for the linear systems with a uncertain constant real parameter in terms of geometry. First, we formulate the surface on which all parameter dependent Lyapunov matrices for a given uncertain system exist. Next, after defining a Riemannian metric on the surface, we derive a method to obtain a parameter dependent Lyapunov matrix as a geodesic on the surface.
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公益社団法人 計測自動制御学会 | 論文
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