Asymptotic expansions for time-varying scalar differential equations using the residue theorem for their discretized difference equations

被引：0

作者：

De la Sen, M. ^{[1
]}

机构：

[1] Fac Sci & Technol, Dept Elect & Elect, Bizkaia, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期

关键词：

Asymptotic expansions; Residue theorem; Stability; ADAPTIVE-CONTROL; MULTIPLE MODELS; SYSTEMS;

D O I：

10.1016/j.amc.2010.01.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fictitious time-dependent time-varying finite sampling period is defined for each time instant at which the asymptotic expansion of the solution of a continuous-time differential equation is investigated. Such a time-dependent sampling period is defined as the quotient of each time instant and a positive integer which tends to infinity as time tends to infinity. The asymptotic expansion formulas are extendable to the case of stable Lyapunov's equations and to the use of a constant sampling period with minor modifications in the required mathematical proofs. Additional stability results are also discussed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：149 / 160

页数：12

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