Novel fractional order particle swarm optimization

Applied Mathematics and Computation

Volumn 283, Issue , 2016, Pages 36-54

  Couceiro, Micael ^a,b   Sivasundaram, Seenith ^c  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b Lda Ltd   (Portugal)

^c Department of Mathematics ^*  (United States)

Author keywords

Control; Fractional calculus; Fractional model; Simulation; Stability; The particle swarm optimization

Indexed keywords

ALGORITHMS; CALCULATIONS; CONTROL; CONVERGENCE OF NUMERICAL METHODS; OPTIMIZATION;

BIO-INSPIRED ALGORITHMS; FRACTIONAL CALCULUS; FRACTIONAL EXTENSIONS; FRACTIONAL MODEL; OBJECTIVE FUNCTIONS; OPTIMIZATION PROBLEMS; SIMULATION; STABILITY RESULTS;

PARTICLE SWARM OPTIMIZATION (PSO);

EID: 84960122842     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2016.02.007     Document Type: Article

References (39)

1. J. Kennedy, and R. Eberhart Particle swarm optimization Proceedings of the IEEE International Conference on Neural Networks, 1995 4 1995 1942 1948 10.1109/ICNN.1995.488968
2. R. Poli, J. Kennedy, and T. Blackwell Particle swarm optimization Swarm Intell. 1 1 2007 33 57
3. R. Poli Analysis of the publications on the applications of particle swarm optimisation J. Artif. Evol. Appl. 2008 2008 3
4. J. Tang, J. Zhu, and Z. Sun A novel path planning approach based on apart and particle swarm optimization J. Wang, X.-F. Liao, Z. Yi, Advances in Neural Networks ISNN 2005 Lecture Notes in Computer Science 3498 2005 Springer Berlin Heidelberg 253 258 10.1007/11427469-40
5. E.S. Pires, J.T. Machado, P. de Moura Oliveira, J.B. Cunha, and L. Mendes Particle swarm optimization with fractional-order velocity Nonlinear Dyn. 61 1-2 2010 295 301
6. S. Cagnoni, M. Mordonini, and J. Sartori Particle swarm optimization for object detection and segmentation Applications of Evolutionary Computing 2007 Springer 241 250
7. X. Zhang, W. Hu, S. Maybank, X. Li, and M. Zhu Sequential particle swarm optimization for visual tracking Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2008. CVPR 2008 2008 IEEE 1 8
8. M. Alrashidi, and M. El-Hawary A survey of particle swarm optimization applications in power system operations Electr. Power Compon. Syst. 34 12 2006 1349 1357
9. M. Couceiro, J.M.A. Luz, C.M. Figueiredo, N.F. Ferreira, and G. Dias Parameter estimation for a mathematical model of the golf putting Proceedings of the WACI-Workshop Applications of Computational Intelligence. ISEC. IPC. Coimbra 2 2010 1 8
10. Y. Shi, and R.C. Eberhart Fuzzy adaptive particle swarm optimization Proceedings of the 2001 Congress on Evolutionary Computation, 2001 1 2001 IEEE 101 106
11. C.-F. Juang A hybrid of genetic algorithm and particle swarm optimization for recurrent network design IEEE Trans. Syst. Man Cybern. Part B Cybern. 34 2 2004 997 1006
12. J. Tillett, T.M. Rao, F. Sahin, and R. Rao Darwinian particle swarm optimization Proceedings of the Second Indian International Conference on Artificial Intelligence 2005 1474 1487
13. H. Liu, and A. Abraham Fuzzy adaptive turbulent particle swarm optimization Proceedings of the Fifth International Conference on Hybrid Intelligent Systems, 2005. HIS '05 2005 6 10.1109/ICHIS.2005.49
14. B. Secrest, and G. Lamont Visualizing particle swarm optimization-Gaussian particle swarm optimization Proceedings of the 2003 IEEE Swarm Intelligence Symposium, 2003. SIS '03 2003 198 204 10.1109/SIS.2003.1202268
15. Y. del Valle, G. Venayagamoorthy, S. Mohagheghi, J.-C. Hernandez, and R. Harley Particle swarm optimization: Basic concepts, variants and applications in power systems IEEE Trans. Evol. Comput. 12 2 2008 171 195 10.1109/TEVC.2007.896686
16. T. Blackwell, and P. Bentley Don't push me! collision-avoiding swarms Proceedings of the 2002 Congress on Evolutionary Computation, 2002. CEC '02 2 2002 1691 1696 10.1109/CEC.2002.1004497
17. T. Krink, J. Vesterstrom, and J. Riget Particle swarm optimisation with spatial particle extension Proceedings of the 2002 Congress on Evolutionary Computation, 2002. CEC '02 2 2002 1474 1479 10.1109/CEC.2002.1004460
18. V. Miranda, and N. Fonseca New evolutionary particle swarm algorithm (epso) applied to voltage/var control Proceedings of the Fourteenth Power Systems and Computation Conference 2002
19. M. Lovbjerg, and T. Krink Extending particle swarm optimisers with self-organized criticality Proceedings of the 2002 Congress on Evolutionary Computation, 2002. CEC '02 2 2002 1588 1593 10.1109/CEC.2002.1004479
20. W.-J. Zhang, and X.-F. Xie Depso: Hybrid particle swarm with differential evolution operator Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 2003 vol. 4 2003 3816 3821 10.1109/ICSMC.2003.1244483
21. S.S.P.N. Kannan S. Application of particle swarm optimization technique and its variants to generation expansion problem Electr. Power Syst. Res. 70 3 2004 203 210
22. K.B. Oldham The Fractional Calculus 1974 Elsevier
23. J. Sabatier, O.P. Agrawal, and J.T. Machado Advances in Fractional Calculus 2007 Springer
24. A. Kilbas, O. Marichev, and S. Samko Fractional integral and derivatives (theory and applications) Gordon Breach Switz. 1 993 1993 1
25. E. Kaslik, and S. Sivasundaram Nonlinear dynamics and chaos in fractional-order neural networks Neural Networks 32 2012 256 545
26. B. Ahmad, and S. Sivasundaram Nonlocal four-point integral boundary value problem of nonlinear fractional differential equations and existence results Commun. Appl. 16 1 2012 11 22
27. E. Kaslik, and S. Sivasundaram Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions Nonlinear Anal. Real World Appl. 13 3 2012 1489 1497
28. B. Ahmad, and S. Sivasundaram Existence results for a fully nonlinear nonlocal fractional boundary value problem Commun. Appl. Anal. 17 3-4 2013 427 438
29. S. Abbas, M. Benchohra, and S. Sivasundaram Ulam stability for partial fractional differential inclusions with multiple delays and impulses via Picard operators Nonlinear Stud. 20 4 2013 623 641
30. R.C. Eberhart, and J. Kennedy A new optimizer using particle swarm theory Proceedings of the Sixth International Symposium on Micro Machine and Human Science 1 1995 New York, NY 39 43
31. G. Pannocchia, and A. Bemporad Combined design of disturbance model and observer for offset-free model predictive control IEEE Trans. Autom. Control 52 6 2007 1048 1053
32. G. Pannocchia, and E.C. Kerrigan Offset-free control of constrained linear discrete-time systems subject to persistent unmeasured disturbances Proceedings of the Forty Second IEEE Conference on Decision and Control, 2003. 4 2003 IEEE 3911 3916
33. G. Pannocchia, and J.B. Rawlings Disturbance models for offset-free model-predictive control AIChE J. 49 2 2003 426 437
34. V. Kadirkamanathan, K. Selvarajah, and P.J. Fleming Stability analysis of the particle dynamics in particle swarm optimizer IEEE Trans. Evol. Comput. 10 3 2006 245 255
35. F. Van Den Bergh An Analysis of Particle Swarm Optimizers 2006 University of Pretoria Ph.D. thesis
36. I.C. Trelea The particle swarm optimization algorithm: Convergence analysis and parameter selection Inf. Process. Lett. 85 6 2003 317 325
37. M. Clerc, and J. Kennedy The particle swarm-explosion, stability, and convergence in a multidimensional complex space IEEE Trans. Evol. Comput. 6 1 2002 58 73
38. Y. Shi, and R.C. Eberhart Parameter selection in particle swarm optimization Evolutionary Programming VII 1998 Springer 591 600
39. M.S. Couceiro, R.P. Rocha, N.F. Ferreira, and J.T. Machado Introducing the fractional-order Darwinian pso Signal Image Video Process. 6 3 2012 343 350