Technical stability of solutions of nonlinear differential equations of controlled vertical motion of an elastic body for a given measure

被引：0

作者：

K. S. Matviychuk

机构：

[1] National Academy of Sciences,Timoshenko Institute of Mechanics

来源：

Automation and Remote Control | 2005年 / 66卷 / 1期

关键词：

Differential Equation; Mechanical Engineer; System Theory; Control Process; Main Parameter;

D O I：

10.1007/s10513-005-0002-8

中图分类号：

学科分类号：

摘要：

Sufficient conditions for the technical stability for a given measure of nonlinear dynamic states of a long elastic flying system for its controlled vertical motion are derived. The influence of changes in sectional area, transversal deformations, and vibrations of flying vehicles are taken into account. The technical stability criteria depend on the main parameters of the control process and lateral load increment due to distortion of the longitudinal axis of the system and aerodynamical forces in vertical flight.

引用

页码：10 / 23

页数：13

共 50 条

[31] EXISTENCE AND STABILITY OF SOLUTIONS TO NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS IN β-NORMED SPACES
Wang, Jinrong
Zhang, Yuruo
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[32] Stability and square integrability of solutions of nonlinear fourth order differential equations
Remili, Moussadek
Rahmane, Mebrouk
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2016, 4 (01): : 21 - 37
[33] On the stability and boundedness of solutions of nonlinear vector differential equations of third order
Tunc, Cemil
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) : 2232 - 2236
[34] EXPONENTIAL STABILITY OF SOLUTIONS OF NONLINEAR FRACTIONALLY PERTURBED ORDINARY DIFFERENTIAL EQUATIONS
Brestovanska, Eva
Medved, Milan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[35] Asymptotic stability of solutions of a class of systems of nonlinear differential equations with delay
A. Yu. Aleksandrov
A. P. Zhabko
Russian Mathematics, 2012, 56 (5) : 1 - 8
[36] THE NONLINEAR STABILITY OF FRONT SOLUTIONS FOR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
ECKMANN, JP
WAYNE, CE
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 161 (02) : 323 - 334
[37] STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF THIRD ORDER
Omeike, M. O.
ARCHIVUM MATHEMATICUM, 2014, 50 (02): : 101 - 106
[38] STABILITY OF SOLUTIONS OF NONLINEAR DIFFERENTIAL-EQUATIONS IN HILBERT-SPACE
ATAKISHIEVA, RH
IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1976, (02): : 86 - 91
[39] A study of the stability and boundedness of the solutions of nonlinear differential equations of the fifth order
Tunç, C
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (04): : 519 - 529
[40] Asymptotic Stability of Solutions of a Class of Systems of Nonlinear Differential Equations with Delay
Aleksandrov, A. Yu.
Zhabko, A. P.
RUSSIAN MATHEMATICS, 2012, 56 (05) : 1 - 8

← 1 2 3 4 5 →