Search Results for « Linear dynamical stability »
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Abstract In this paper, structural stability of discrete-time linear random dynamical systems is studied. A random dynamical system is called structurally stable with respect to a random norm if it is topologically conjugate to any random dynamical system which is …
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Abstract In this paper, structural stability of discrete-time linear random dynamical systems is studied. A random dynamical system is called structurally stable with respect to a random norm if it is topologically conjugate to any random dynamical system which is sufficiently close to it in this norm. We prove that a discrete-time linear random dynamical system is structurally stable with respect to its Lyapunov norms if and only if it is hyperbolic.
In this paper, certain theoretical results due to Porter concerning the probability of stability of a class of linear dynamical systems are generalized significantly. These results are compared with the theoretical results obtained by Porter and also with certain empirical …
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In this paper, certain theoretical results due to Porter concerning the probability of stability of a class of linear dynamical systems are generalized significantly. These results are compared with the theoretical results obtained by Porter and also with certain empirical results obtained by Ashby.