Some new properties of the Chebyshev polynomials and their use in analysis and design of dynamic systems

被引：4

作者：

Bulychev, YG ^{[1
]}

Bulycheva, EY

机构：

[1] Rostov Mil Inst Rocket Forces, Rostov Na Donu, Russia

[2] Rostov State Univ, Rostov Na Donu, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2003年 / 64卷 / 04期

关键词：

Dynamic System; Mechanical Engineer; System Theory; Operator Equation; Chebyshev Polynomial;

D O I：

10.1023/A:1023286213571

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The possibility of essential simplification of the procedure of approximate analysis and design of various systems obeying the operator equations in appropriate functional spaces was demonstrated by taking into account the new properties of the Chebyshev polynomials of the first and second kinds.

引用

页码：554 / 563

页数：10

共 50 条

[1] Some New Properties of the Chebyshev Polynomials and Their Use in Analysis and Design of Dynamic Systems
Yu. G. Bulychev
E. Yu. Bulycheva
[J]. Automation and Remote Control, 2003, 64 : 554 - 563
[2] Some new properties of Chebyshev polynomials
Belforte, G
Gay, P
Monegato, G
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 117 (02) : 175 - 181
[3] Some properties of Chebyshev polynomials
Seon-Hong Kim
[J]. Journal of Inequalities and Applications, 2012
[4] Some properties of Chebyshev polynomials
Kim, Seon-Hong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[5] Some novel properties of Chebyshev polynomials and its application to analysis and synthesis of dynamical systems
Bulychev, Yu.G.
Bulycheva, E.Yu.
[J]. Avtomatika i Telemekhanika, 2003, (04): : 44 - 55
[6] Some properties of Fibonacci and Chebyshev polynomials
Li, Yang
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[7] Some properties of Fibonacci and Chebyshev polynomials
Yang Li
[J]. Advances in Difference Equations, 2015
[8] On the Chebyshev polynomials and some of their new identities
Di Han
Xingxing Lv
[J]. Advances in Difference Equations, 2020
[9] On the Chebyshev polynomials and some of their new identities
Han, Di
Lv, Xingxing
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[10] On some algebraic properties of generalised Chebyshev polynomials
Darevskaya, YV
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2003, 58 (01) : 175 - 176

← 1 2 3 4 5 →