Stability analysis of particle swarm optimization

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4682 LNAI, Issue , 2007, Pages 781-790

  Liu, Jinxing ^a,b   Liu, Huanbin ^a   Shen, Wenhao ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b QUFU NORMAL UNIVERSITY   (China)

Author keywords

Lyapunov stability theorem; Particle swarm optimization; Stability

Indexed keywords

ALGORITHMS; CHAOTIC SYSTEMS; LYAPUNOV FUNCTIONS; OPTIMIZATION; THEOREM PROVING;

LYAPUNOV STABILITY THEOREM; PARTICLE SWARM OPTIMIZATION;

LINEAR STABILITY ANALYSIS;

EID: 38049043985     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74205-0_82     Document Type: Conference Paper

References (12)

1. Kennedy, J., Eberhart, R.C. : Particle Swarm Optimization, in: Proceedings of the IEEE International Joint Conference on Neural Networks, IEEE Press, (1995) 1942-1948
2. Eberhart, R.C., Kennedy, J.: A New Optimizer Using Particle Swarm Theory, in: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan, (1995) 39-43
3. Liu, B., Wang, L.,et al.: Improved Particle Swarm Optimization combined with Chaos, Chaos, Solitons and Fractals 25 (2005) 1261-1271
4. Yi, D., Ge, X.: An Improved PSO-based ANN with Simulated Annealing Technique, Neurocomputing 63 (2005) 527-533
5. Clerc, M., Kennedy, J.: The Particle Swarm-Explosion, Stability, and Convergence in a Multidimensional Complex Space, IEEE Transactions on Evolutionary Computation 6 (1) (2002) 58-73
6. Trelea, I.C.: The Particle Swarm Optimization Algorithm: Convergence Analysis and Parameter Selection, Information Processing Letters 85 (6) (2003) 317-325
7. Yasuda, K., Ide, A., Iwasaki, N.: Adaptive Particle Swarm Optimization, in: Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, (2003) 1554-1559
8. Ogata,K.: Discrete-time Control Systems, Prentice-Hall International, Inc. (1987) 545 -561
9. Chen, C. T.: Linear System Theory and Design, Holt, Rinehart and Winstom, (1984) 412 -425
10. Strejc, U.: State Space Theory of Discrete Linear Control, John, Wiley and Sons, (1981) 197-204
11. Lehnigk, S. H.: Stability Theorems for Linear Motions with an Introduction to Lyapunov's Direct method. Pentic-hall Inc. N.J. (1966) 25-71
12. Skowronski, J.M.: Nonlinear Lyapunov dynamics, World Scientific Publishing, (1990) 254 - 267