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asymptotic stability |
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asymptotic stability [ā‚sim′täd·ik stə′bil·əd·ē] (mathematics) The property of a vector differential equation which satisfies the conditions that (1) whenever the magnitude of the initial condition is sufficiently small, small perturbations in the initial condition produce small perturbations in the solution; and (2) there is a domain of attraction such that whenever the initial condition belongs to this domain the solution approaches zero at large times. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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| Thus, the normal distribution law is characterized by natural universality, general applicability, and asymptotic stability, which is both a logical base for its application and a major factor in the adequacy of probabilistic models of mass processes in the social sphere that do not easily lend themselves to formalization, in particular military actions. 4) Then, discuss the asymptotic stability of both solutions to (3. |
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