The use of Lyapunov functions in Lyapunov's Direct Method for analyzing power system transient asymptotic stability is studied. A previous study by other investigators claimed to establish the ...

In this paper we give complete characterizations, in terms of Dini numbers and integrals, of positive functions $\Phi (u)$ defined in $ (0, \infty)$ satisfying the conditions: (i) $\Phi (u)/u^a$ is ...

Function Spaces and Asymptotic Analysis Publication Trend The graph below shows the total number of publications each year in Function Spaces and Asymptotic Analysis.

It is equivalent to asymptotic stability for a single equilibrium, but is different in general, especially for noncompact sets of equilibria. Set-valued Lyapunov functions are set-valued mappings ...

This article uses Monte Carlo experiments and response surface regressions in a novel way to calculate approximate asymptotic distribution functions for several well-known unit-root and cointegration ...

Chen, T.P. (1985) Convergence and Asymptotic Expansion of Spline Functions. Chinese Science Bulletin, 30, 1361-1364.