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Your search keyword '"Exponential bounds"' showing total 2 results
Start Over Descriptor "Exponential bounds" Publication Type Magazines
2 results on '"Exponential bounds"'

1. Strong laws for sequences in the vicinity of the LIL.

Author

Gut, Allan and Stadtmüller, Ulrich

Subjects
*RANDOM variables, *LOGARITHMIC functions, *LIMIT theorems, *EXPONENTIAL functions, *BOREL sets
Abstract

The present paper is devoted to strong laws of large numbers under moment conditions near those of the law of the iterated logarithm (LIL) for i.i.d sequences. More precisely, we wish to investigate possible limit theorems under moment conditions which are stronger than p for any p < 2 , in which case we know that there is a.s. convergence to 0, and weaker than E X 2 < ∞ , in which case the LIL holds. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Quantitative Characterizations of Exponential Convergence Property of Nonlinear Discrete Dynamical Systems.

Author

Lisheng Wang, Zongben Xu, and Qunfei Zhao

Subjects
*CONTROL theory (Engineering), *STOCHASTIC convergence, *MATHEMATICAL analysis, *SYSTEMS theory, *SYSTEM analysis, *INVARIANTS (Mathematics), *LYAPUNOV functions, *LYAPUNOV stability, *EXPONENTIAL functions
Abstract

In this technical note, we consider the exponential convergence property of the trajectories of nonlinear discrete dynamical systems with exponential stability. Based on an invariant quantity derived from Lyapunov functions of the systems, the essential and quantitative relationship between exponential convergence property of trajectories and the Lyapunov functions is revealed. [ABSTRACT FROM AUTHOR]

Published
2007
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