Exponential convergence

In paper "Mixture of Erlang and exponential approximation for ultimate ruin probability", we investigate the mixture of Erlang and exponential approximation based on the first three moments and the matrix-exponential representation of mixed Erlang and exponential functions. Besides, a number of numerical examples are given to illustrate the quick convergence of the method in the cases of the first three moments of uniform distribution on . Moreover to illustrate this method, a numerical example is given with different initial reserves of insurance company.

5p nhanchienthien 25-07-2023 4 3   Download

This paper is concerned with the problem of exponential stability of a class of positive nonlinear systems with heterogeneous time-varying delays which describe a model of Hopfield neural networks with nonlinear self-inhibition rates. Based on a novel comparison technique via a differential and integral inequalities, testable conditions are derived to ensure system state trajectories converge exponentially to a unique positive equilibrium.

10p koxih_kothogmih5 04-09-2020 16 1   Download

The ultimate stability of nonlinear time-varying systems with multiple delays and bounded disturbances are investigated in this paper. Based on some comparison techniques via differential inequalities, explicit delay-independent conditions are derived for determining an ultimate bound such that all state trajectories of the system converge exponentially within that bound. The obtained results also guarantee exponential stability of the system when the input disturbance vector is ignored. Numerical simulations are given to illustrate the effectiveness of the obtained results.

14p nguathienthan6 06-07-2020 12 1   Download

Projects have been in existence for thousands of years, dating back as far as Egyptian civilization and the construction of the pyramids. It is only recently that project management practices have evolved to the status of a discipline with proper methodology, tools, and techniques. Today, the need for efficient and effective management of projects within the organization comes about as a result of the increased competition in the marketplace.

360p namde02 08-03-2013 190 27   Download

We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a ‘quantization estimate’ which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.

71p tuanloccuoi 04-01-2013 70 7   Download

Medical imaging has been transformed over the past 30 years by the advent of computerized tomography (CT), magnetic resonance imaging (MRI), and various advances in x-ray and ultrasonic techniques. An enabling force behind this progress has been the (so far) exponentially increasing power of computers, which has made it practical to explore fundamentally new approaches.

270p echbuon 02-11-2012 51 4   Download

In this section we will define what we mean by a complex func- tion. We will then generalise the definitions of the exponential, sine and cosine functions using complex power series. To deal with complex power series we define the notions of conver- gent and absolutely convergent, and see how to use the ratio test from real analysis to determine convergence and radius of convergence for these complex series. We start by defining domains in the complex plane. This requires the prelimary definition....

98p tiramisu0908 25-10-2012 71 7   Download

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Some exponential inequalities for acceptable random variables and complete convergence

10p sting03 06-02-2012 47 2   Download

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Some exponential inequalities for acceptable random variables and complete convergence

14p dauphong3 03-01-2012 73 3   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Các vấn đề Regge cho các chuỗi, mở rộng eigenfunction vô điều kiện hội tụ, và các cơ sở vô điều kiện của exponentials trong L ^ 2 (-T, T)...

19p matuot_266 27-08-2011 63 4   Download

For bidirectional associate memory neural networks with time-varying delays, the problems of determining the exponential stability and estimating the exponential convergence rate are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. A novel criterion for the stability, which give information on the delay-dependent property, is derived.

9p vietanh_90 30-11-2010 715 5   Download

The SMI algorithm, which is also known as direct matrix inversion (DMI) algorithm, has recently been used for 3G systems and beyond, because the fast convergence property makes it suitable for use with high data rate transmissions [143,150]. However the complexity grows three-orders exponentially with the number of the weights (M 3). Recursive equations for the inverse of the correlation matrix thus had been used for the implementation on digital signal processors.

20p doroxon 18-08-2010 63 4   Download

Introduction Fourier Series Representation of Continuous Time Periodic Signals Exponential Fourier Series • The Trigonometric Fourier Series • Convergence of the Fourier Series Properties of the Continuous Time Fourier Transform • Fourier Spectrum of the Continuous Time Sampling Model • Fourier Transform of Periodic Continuous Time Signals • The Generalized Complex Fourier Transform 1.3 The Classical Fourier Transform for Continuous Time Signals 1.4 1.

30p longmontran 18-01-2010 102 7   Download