Consistent definition of partial derivatives of matrix functions in dynamics of mechanical systems

Mechanism and Machine Theory

Volumn 45, Issue 7, 2010, Pages 981-988

  Van Khang, Nguyen ^a  

^a HANOI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Viet Nam)

Author keywords

Kronecker product; Lagrangian equations; Mechanism dynamics; Partial derivative of matrix functions; Robot dynamics

Indexed keywords

CALCULATIONS; DYNAMICS; LAGRANGE MULTIPLIERS; VECTORS;

DYNAMICS AND CONTROL; KRONECKER PRODUCT; LAGRANGIAN EQUATIONS; MATRIX FUNCTIONS; MECHANICAL SYSTEMS; PARTIAL DERIVATIVES; ROBOT DYNAMICS; VECTOR FUNCTIONS;

MECHANICS;

EID: 79957978627     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2010.03.005     Document Type: Article

References (14)

1. W. Schiehlen, Technische Dynamik, B.G. Teubner, Stuttgart, 1986.
2. P.E. Nikravesh, Computer Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, New Jersey, 1988.
3. E.J. Haug, Basic methods, Computer Aided Kinematics and Dynamics of Mechanical Systems, vol. 1, Allyn and Bacon, Boston, 1989.
4. A.A. Shabana, Computational Dynamics, 2 Edition, John Wiley & Sons, New York, 2001.
5. H. Josephs, R.L. Huston, Dynamics of Mechanical Systems, CRS Press, Boca Raton, 2002.
6. Y. Nakamura, Advanced Robotics/Redundancy and Optimization, Addison-Wesley, Reading, 1991.
7. J. Angeles, Fundamentals of Robotic Mechanical Systems, 2 Edition, Springer-Verlag, New York, 2003.
8. M.W. Spong, M. Vidyasagar, Robot Dynamics and Control, John Wiley and Sons, New York, 1989.
9. R.M. Murray, Z. Li, S.S. Sastry, A Mathematical Introduction to Robotic, CRS Press, Boca Raton, 1994.
10. F.L. Lewis, D.M. Dawson, Ch.T. Abdallah, Robot Manipulator Control, Theory and Practice2nd, Marcel Dekker, New York, 2004.
11. R. Zurmühl, S. Falk, Matrizen 1, Grundlagen (7. Auflage), Springer-Verlag, Berlin, 1997.
12. F. Zhang, Matrix Theory, Springer, New York, 1999.
13. A.J. Laub, Matrix Analysis for Scientists and Engineers, SIAM, 2005.
14. J.W. Brewer, Kronecker Products and Matrix Calculus in System Theory, IEEE Transactions on Circuits and Systems CAS-25 (9) (September 1978) 772-781.