APPLICABILITY OF HAMILTON-JACOBI METHOD TO NONLINEAR NONHOLONOMIC SYSTEMS

被引：0
|
作者：
Q.K.Ghori
Naseer Ahmed
机构：
[1] Islamabad
[2] Quaid-i-Azam University
[3] Mathematics Department
[4] Pakistan
来源：
Applied Mathematics and Mechanics(English Edition) | 1988年 / 10期
关键词：
show; In; APPLICABILITY OF HAMILTON-JACOBI METHOD TO NONLINEAR NONHOLONOMIC SYSTEMS; 一主; 丫二;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems.
引用
收藏
页码：937 / 952
页数：16
相关论文
共 50 条
  • [31] HAMILTON-JACOBI THEORY OF CONTINUOUS SYSTEMS
    GULER, Y
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1987, 100 (02): : 251 - 266
  • [32] On the Hamilton-Jacobi treatment of constrained systems
    Muslih, SI
    El-Zalan, HA
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 39 (01) : 63 - 66
  • [33] HAMILTON-JACOBI THEORY FOR CONSTRAINED SYSTEMS
    DOMINICI, D
    LONGHI, G
    GOMIS, J
    PONS, JM
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (08) : 2439 - 2452
  • [34] Hamilton-Jacobi treatment of constrained systems
    Nawafleh, KI
    Rabei, EM
    Ghassib, HB
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (03): : 347 - 354
  • [35] Non-Hamiltonian systems separable by Hamilton-Jacobi method
    Marciniak, Krzysztof
    Blaszak, Maciej
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2008, 58 (05) : 557 - 575
  • [36] HAMILTON-JACOBI METHOD FOR SYSTEMS WITH AN INFINITE NUMBER OF FREEDOM DEGREES
    VILKE, VG
    [J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1984, (02): : 81 - 85
  • [37] The Hamilton-Jacobi method and Hamiltonian maps
    Abdullaev, SS
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (12): : 2811 - 2832
  • [38] PERRON METHOD FOR HAMILTON-JACOBI EQUATIONS
    ISHII, H
    [J]. DUKE MATHEMATICAL JOURNAL, 1987, 55 (02) : 369 - 384
  • [39] A Hamilton-Jacobi setup for the static output feedback stabilization of nonlinear systems
    Astolfi, A
    Colaneri, P
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) : 2038 - 2041
  • [40] Hamilton-Jacobi inequality based reliable H∞ control for nonlinear systems
    Chen, YD
    Weng, ZX
    Shi, SJ
    [J]. PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 2760 - 2764
12345