Numerical Techniques for Nonlinear Lagrangian Dynamical Systems and Their Application

Jin Li

doi:10.4028/www.scientific.net/AMR.476-478.1513

Paper Titles

Study on the Evaluation of Minor Rural Road Network Planning Alternative in the State Commercial Grain Base
p.1496

Nano-Crystalline Diamond Development and Application
p.1500

Martensitic Transformation and Shape Memory Effect of Ni_53.25Mn_21.75Ga₂₅ Ferromagnetic Shape Memory Alloy
p.1504

Dispersion of TiH₂ Foaming Agent in Precursors via Melt Route
p.1508

Numerical Techniques for Nonlinear Lagrangian Dynamical Systems and Their Application
p.1513

Structure and Optical Properties of SnS Nanowire Arrays Prepared with Two-Step Method
p.1519

Effects of Atmosphere on the Periclase-Hercynite Brick
p.1523

Analysis of Vibration Reducing Effects of Cone Shape Materials with Holes Installed on Platforms
p.1529

Preparation of Carbon Nanoball from Starch by Arc Discharge
p.1533

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 476-478Numerical Techniques for Nonlinear Lagrangian...

Numerical Techniques for Nonlinear Lagrangian Dynamical Systems and Their Application

Abstract:

We provide a general framework for solving constrained optimization problems, this framework relies on dynamical systems using a class of nonlinear Lagrangian function, we construct a first order derivatives based and a second order derivatives based differential systems. Under this framework, We show that the exponential Lagrangian system as the special case is discussed.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 476-478)

Pages:

1513-1516

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.476-478.1513

Citation:

Cite this paper

Online since:

February 2012

Authors:

Jin Li

Keywords:

Asymptotical Stability, Constrained Optimization, Nonlinear Lagrangian Dynamical Systems

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] K. J. Arrow L. Hurwicz, Reduction of constrained maxima to saddle point problems, in: J.Neyman(Ed.), Proceedings of the 3rd Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 1956, pp.1-26.

Google Scholar

[2] A. V. Fiacco, G. P. McCormick, Sequential Unconstrained Minimization Techniques, in: Nonlinear Programming, John Wiely, New York, 1968.

DOI: 10.1137/1.9781611971316

Google Scholar

[3] H. Yamadhita, A differential equation approach to nonlinear programming, Math. Prog. Vol. 18 (1980), p.115.

Google Scholar

[4] P. Q. Pan, New ODE methods for equality constrained optimization (1)-equations, J.Computational Mathematics, Vol. 10 (1992), p.77.

Google Scholar

[5] Li Jin, Liwei Zhang and Xiantao Xiao,Two differential equation systems for equality-constrained optimization，Applied Mathematics and Computation. Vol. 190(2007), p.1030.

DOI: 10.1016/j.amc.2006.11.041

Google Scholar

[6] Li Jin, Li-wei Zhang and Xian-Tao Xiao, Two differential equation systems for inequality constrained optimization, Appl. Math.Comput. Vol. 188 (2007) p.1334

Google Scholar