Convergence of newton's method via lyapunov analysis

Journal of Guidance, Control, and Dynamics

Volumn 28, Issue 2, 2005, Pages 363-365

  Hurtado, John E ^a,c   Robinett III, Rush D ^b,d  

^a TEXAS A AND M UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c 3141 TAMU ^*  (United States)

^d Mail Stop 0741   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; ROBOTICS; THEOREM PROVING; VECTORS;

EQUILIBRIUM POINT; LYAPUNOV FUNCTION; ROBOT TRAJECTORIES; SMOOTH FUNCTIONS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 15744364389     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.9437     Document Type: Article

References (4)

1. Luenberger, D. G., Linear and Nonlinear Programming, 2nd ed., Addison Wesley Longman, Reading, MA, 1989, pp. 187, 225 ff.
2. Robinett, R. D., III, and Hurtado, J. E., "Stability and Control of Collective Systems," Journal of Intelligent and Robotic Systems, Theory and Applications, Vol. 39, 2004, pp. 43-55.
3. Gill, P. E., Murray, W., and Wright, M. H., Practical Optimization, Academic Press, Harcourt Brace and Co., New York, 1981, pp. 52, 63, 107.
4. Junkins, J. L., and Kim, Y., Introduction to Dynamic and Control of Flexible Structures, AIAA Education Series, AIAA, Washington, DC, 1993, Chap. 3, passim, p. 15.