Stability of the Shifts of a Finite Number of Functions
نویسنده
چکیده
In this paper we prove that the shifts of ,1 , ..., ,n are Lp -stable if and only if, for any ! # R, the sequences (, k(!+2;?)); # Z s (k=1, ..., n) are linearly independent, where , denotes the Fourier transform of ,. This extends the previous results of Jia and Micchelli on a characterization of Lp -stability (1 p ) of the shifts of a finite number of compactly supported functions to the case 0<p . 1998 Academic Press
منابع مشابه
Stability analysis of impulsive fuzzy differential equations with finite delayed state
In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...
متن کاملStability Criteria for Rectangular Plates Subjected to Intermediate and End Inplane Loads Using Spline Finite Strip Method
This paper is concerned with elastic local buckling of rectangular plates subjected to intermediate and end inplane loads. Since closed form solution for buckling analysis of plates with different end conditions and subjected to intermediate loads is complicated, numerical methods are more useful. Because of restrictions on the two finite strip methods, the longitudinal B3 spline expressions co...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملDetermination of Stability Domains for Nonlinear Dynamical Systems Using the Weighted Residuals Method
Finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. This paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. In mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...
متن کاملStability Criteria for Rectangular Plates Subjected to Intermediate and End Inplane Loads Using Spline Finite Strip Method
This paper is concerned with elastic local buckling of rectangular plates subjected to intermediate and end inplane loads. Since closed form solution for buckling analysis of plates with different end conditions and subjected to intermediate loads is complicated, numerical methods are more useful. Because of restrictions on the two finite strip methods, the longitudinal B3 spline expressions co...
متن کاملVibration and Stability of Axially Moving Plates by Standard and Spectral Finite Element Methods
Based on classical plate theory, standard and spectral finite element methods are extended for vibration and dynamic stability of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton’s principle is independent of element type. But for solving numerical examples, an isoparametric quadrilateral element is developed using Lagrange ...
متن کامل