Citation: |
[1] |
P. J. Angeline, Evolutionary optimization versus particle swarm optimization: philosophy and performance Differences, Evolutionary programming VII, Lecture Notes in Computer Science, 1447, Springer (1998), 601-610. |
[2] |
R. B. Barrar, An analytic proof that the Hohmann-type transfer is the true minimum two-impulse transfer, Astronautica Acta, IX (1963), 1-11. |
[3] |
R. H. Battin, An introduction to the mathematics and methods of astrodynamics, AIAA Education Series, AIAA, New York (1987), 529-530. |
[4] |
D. J. Bell and D. H. Jacobson, "Singular Optimal Control Problems," Academic Press, Inc., London, 1975. |
[5] |
R. Bellman, "Dynamic Programming," Princeton University Press, Princeton, 1957. |
[6] |
C. R. Bessette and D. B. Spencer, Optimal space trajectory design: A heuristic-based approach, Advances in the Astronautical Sciences, 124 (2006), 1611-1628. |
[7] |
C. R. Bessette and D. B. Spencer, Identifying optimal interplanetary trajectories through a genetic approach, Paper AIAA 2006-6306, (2006). |
[8] |
J. T. Betts, Optimal interplanetary orbit transfers by direct transcription, Journal of the Astronautical Sciences, 42 (1994), 247-326. |
[9] |
G. A. Bliss, "Lectures on the Calculus of Variations," University of Chicago Press, Chicago (1946), 108-112. |
[10] |
K. R. Brown, E. F. Harrold and G. W. Johnson, Rapid optimization of multiple-burn rocket flights, NASA CR-1430 (1969). |
[11] |
R. G. Brusch and T. L. Vincent, Numerical implementation of a second-order variational endpoint condition, AIAA Journal, 8 (1970), 2230-2235.doi: 10.2514/3.6092. |
[12] |
A. E. Bryson and Y. C. Ho, "Applied Optimal Control," Ginn and Company, Waltham, 1969. |
[13] |
A. Carlisle and G. Dozier, An Off-The-Shelf PSO, Proceedings of the Workshop on Particle Swarm Optimization, Indianapolis (2001). |
[14] |
P. Cicala, "An Engineering Approach to the Calculus of Variations," Levrotto & Bella, Torino, 1957. |
[15] |
M. Clerc, The swarm and the queen: Towards a deterministic and adaptive particle swarm optimization, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 1999), Washington (1999).doi: 10.1109/CEC.1999.785513. |
[16] |
A. R. Cockshott and B. E. Hartman, Improving the Fermentation medium for Echinocandin B production part II: particle swarm optimization, Process Biochemistry, 36 (2001), 661-669.doi: 10.1016/S0032-9592(00)00261-2. |
[17] |
B. A. Conway, Optimal low-thrust interception of earth-crossing asteroids, Journal of Guidance, Control, and Dynamics, 20 (1997), 995-1002.doi: 10.2514/2.4146. |
[18] |
V. Coverstone-Carroll and S. N. Williams, Optimal low thrust trajectories using differential inclusion concepts, Journal of the Astronautical Sciences, 42 (1994), 379-393. |
[19] |
R. Eberhart and J. Kennedy, A new optimizer using particle swarm theory, Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, (1995).doi: 10.1109/MHS.1995.494215. |
[20] |
R. C. Eberhart and Y. Shi, Comparison between genetic algorithms and particle swarm optimization, Evolutionary programming VII, Lecture Notes in Computer Science, Springer 1447 (1998), 611-616.doi: 10.1007/BFb0040812. |
[21] |
R. C. Eberhart and Y. Shi, Comparing inertia weights and constriction factors in particle swarm optimization, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2000), La Jolla (2000). |
[22] |
R. C. Eberhart and Y. Shi, Particle swarm optimization: developments, applications, and resources, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2001), Seoul (2001). |
[23] |
T. N. Edelbaum, Some extensions of the Hohmann transfer maneuver, ARS Journal, 29 (1959), 864-865. |
[24] |
T. N. Edelbaum, Propulsion requirements for controllable satellites, ARS Journal, 31 (1961), 1079-1089. |
[25] |
A. P. Engelbrecht, "Computational Intelligence. An Introduction," Wiley, Chichester, 2007. |
[26] |
P. J. Enright and B. A. Conway, Optimal finite-thrust spacecraft trajectories using collocation and nonlinear programming, Journal of Guidance, Control, and Dynamics, 14 (1991), 981-985.doi: 10.2514/3.20739. |
[27] |
P. J. Enright and B. A. Conway, Discrete approximations to optimal trajectories using direct transcription and nonlinear programming, Journal of Guidance, Control, and Dynamics, 15 (1992), 994-1002.doi: 10.2514/3.20934. |
[28] |
P. C. Fourie and A. A. Groenwold, Particle swarms in topology optimization, Proceedings of the Fourth World Congress of Structural and Multidisciplinary Optimization, Liaoning Electronic Press, (2001), 1771-1776. |
[29] |
P. C. Fourie and A. A. Groenwold, The particle swarm optimization algorithm in size and shape optimization, Structural and Multidisciplinary Optimization, 23 (2002), 259-267. |
[30] |
Y. Gao and and C. Kluever, Low-thrust interplanetary orbit transfer using hybrid trajectory optimization method with multiple shooting, Paper AIAA 2004-5088 (2004). |
[31] |
D. E. Goldberg, "Genetic Algorithms in Search, Optimization, and Machine Learning," Addison Wesley, Boston, 1989. |
[32] |
C. R. Hargraves and S. W. Paris, Direct trajectory optimization using nonlinear programming and collocation, Journal of Guidance, Control, and Dynamics, 10 (1987), 338-342.doi: 10.2514/3.20223. |
[33] |
R. Hassan, B. Cohanim and O. de Weck, Comparison of particle swarm optimization and the genetic algorithm, Paper AIAA 2005-1897, (2005). |
[34] |
G. A. Hazelrigg, Globally optimal impulsive transfers via Green's Theorem, Journal of Guidance, Control, and Dynamics, 7 (1983), 462-470.doi: 10.2514/3.19879. |
[35] |
A. L. Herman and B. A. Conway, Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules, Journal of Guidance, Control, and Dynamics, 19 (1996), 592-599.doi: 10.2514/3.21662. |
[36] |
A. L. Herman and B. A. Conway, Optimal low-thrust, earth-moon orbit transfer, Journal of Guidance, Control, and Dynamics, 21 (1998), 141-147.doi: 10.2514/2.4210. |
[37] |
N. Higashi and H. Iba, Particle swarm optimization with Gaussian mutation, Proceedings of the IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis (2003). |
[38] |
F. B. Hildebrand, "Introduction to Numerical Analysis," Dover, New York, 1987. |
[39] |
R. F. Hoelker and R. Silber, The bi-elliptical transfer between coplanar circular orbits, Proceedings of the 4th Symposium on Ballistic Missiles and Space Technology, Pergamon Press, New York, 3 (1961), 164-175. |
[40] |
W. Hohmann, Die Erreichbarkeit der Himmelskoerper, Oldenbourg, Munich (1925); also |
[41] |
X. Hu and R. Eberhart, Solving constrained nonlinear optimization problems with particle swarm optimization, Proceedings of the Sixth World Multiconference on Systemics, Cybernetics and Informatics (SCI 2002), Orlando (2002). |
[42] |
X. Hu, R. Eberhart and Y. Shi, Engineering optimization with particle swarm, Proceedings of the IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis (2003). |
[43] |
X. Hu, Y. Shi and R. Eberhart, Recent advances in particle swarm, Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2004), Portland (2004). |
[44] |
M. R. Ilgen, Hybrid method for computing optimal low thrust OTV trajectories, Advances in the Astronautical Sciences, 87 (1994), 941-958. |
[45] |
M. R. Ilgen, Hybrid method for computing optimal low thrust OTV trajectories, Advances in the Astronautical Sciences, 87 (1999), 941-958. |
[46] |
A. B. Jenkin, Representative mission trade studies for low-thrust transfers to geosynchronous orbits, paper AIAA 2004-5086 (2004). |
[47] |
V. Kalivarapu and E. Winer, Implementation of digital pheromones in particle swarm optimization for constrained optimization problems, Paper AIAA 2008-1974 (2008). |
[48] |
J. A. Kechichian, Reformulation of Edelbaum's low-thrust transfer problem using optimal control theory, Journal of Guidance, Control, and Dynamics, 20 (1997), 988-994.doi: 10.2514/2.4145. |
[49] |
J. A. Kechichian, Low-thrust eccentricity-constrained orbit raising, Journal of Spacecraft and Rockets, 35 (1998), 327-335.doi: 10.2514/2.3330. |
[50] |
J. A. Kechichian, Optimal altitude-constrained low-thrust transfer between inclined circular orbits, Journal of the Astronautical Sciences, 54 (2006), 485-503. |
[51] |
J. Kennedy and R. Eberhart, Particle swarm optimization, Proceedings of the IEEE International Conference on Neural Networks, Piscataway, (1995).doi: 10.1109/ICNN.1995.488968. |
[52] |
J. Kennedy and R. Eberhart, "Swarm Intelligence," Academic Press, San Diego, 2001. |
[53] |
M. S. Khurana, H. Winarto and A. K. Sinha, Application of swarm approach and artificial neural networks for airfoil shape optimization, Paper AIAA 2008-5954, (2008). |
[54] |
S. Kitayama, K. Yamazaki and M. Arakawa, Adaptive range particle swarm optimization, Paper AIAA 2006-6912, (2006). |
[55] |
C. A. Kluever and B. L. Pierson, Optimal low-thrust, three-dimensional earth-moon trajectories, Journal of Guidance, Control, and Dynamics, 18 (1995), 830-837.doi: 10.2514/3.21466. |
[56] |
C. A. Kluever and S. R. Oleson, Direct approach for computing near-optimal low-thrust earth-orbit transfers, Journal of Spacecraft and Rockets, 35 (1998), 509-515.doi: 10.2514/2.3360. |
[57] |
R. E. Kopp and H. G. Moyer, Necessary conditions for singular extremals, AIAA Journal, 3 (1965), 1439-1444.doi: 10.2514/3.3165. |
[58] |
S. Koziel and Z. Michalewicz, Evolutionary algorithms, homorphous mappings, and constrained parameter optimization, Evolutionary Computation, 7 (1999), 19-44.doi: 10.1162/evco.1999.7.1.19. |
[59] |
D. F. Lawden, "Optimal Trajectories for Space Navigation," Butterworths, London, 1963. |
[60] |
D. F. Lawden, Optimal intermediate-thrust arcs in a gravitational field, Astronautica Acta, 8 (1962), 106-123. |
[61] |
G. Leitmann, A calculus of variations solution of Goddard's problem, Astronautica Acta, 2 (1956), 55-62. |
[62] |
G. Leitmann (Ed.), "Optimization Techniques," Academic Press, New York, 1962. |
[63] |
J. P. Marec, "Optimal Space Trajectories," Elsevier, Amsterdam, 1979. |
[64] |
S. McAdoo, D. J. Jezewski and G. S. Dawkins, Development of a method for optimal maneuver analysis of complex space missions, NASA TN D-7882 (1975). |
[65] |
R. Mendes, R., J. Kennedy and J. Neves, The fully informed particle swarm: simpler, maybe better, IEEE Transactions on Evolutionary Computation, 8 (2004), 204-210.doi: 10.1109/TEVC.2004.826074. |
[66] |
A. Miele, General variational theory of the flight paths of Rocket-Powered aircraft, missiles, and satellite carriers, Astronautica Acta, 4 (1958), 11-21. |
[67] |
A. Miele, V. K. Basapur and W. Y. Lee, Optimal trajectories for aeroassisted, noncoplanar orbital transfer, Acta Astronautica, 15 (1987), 399-411.doi: 10.1016/0094-5765(87)90176-7. |
[68] |
H. G. Moyer, Minimum impulse coplanar circle-ellipse transfer, AIAA Journal, 3 (1965), 723-726.doi: 10.2514/3.2954. |
[69] |
C. O. Ourique, E. C. Biscaia and J. C. Pinto, The use of particle swarm optimization for dynamical analysis in chemical processes, Computers & Chemical Engineering, 26 (2002), 1783-1793.doi: 10.1016/S0098-1354(02)00153-9. |
[70] |
J. I. Palmore, An elementary proof of the optimality of Hohmann transfers, Journal of Guidance, Control, and Dynamics, 7 (1984), 629-630.doi: 10.2514/3.56375. |
[71] |
K. E. Parsopoulos and M. N. Vrahatis, Particle swarm optimization method for constrained optimization problems, in "Intelligent Technologies - Theory and Applications: New Trends in Intelligent Technologies, Frontiers in Artificial Intelligence and Applications series"(eds. P. Sincak, J. Vascak, V. Kvasnicka, J. Pospichal) 76 (2002), 214-220. |
[72] |
K. E. Parsopoulos and M. N. Vrahatis, On the computation of all global minimizers through particle swarm optimization, IEEE Transactions on Evolutionary Computation, 8 (2004), 211-224.doi: 10.1109/TEVC.2004.826076. |
[73] |
M. Pontani, Simple method to determine globally optimal orbital transfers, Journal of Guidance, Control, and Dynamics, 32 (2009), 899-914.doi: 10.2514/1.38143. |
[74] |
M. Pontani and B. A. Conway, Particle swarm optimization applied to space trajectories, Journal of Guidance, Control, and Dynamics, 33 (2010), 1429-1441.doi: 10.2514/1.48475. |
[75] |
M. Pontani and B. A. Conway, Swarming theory applied to space trajectory optimization, Spacecraft Trajectory Optimization, Cambridge University Press, 2010, 1429-1441. |
[76] |
M. Pontani, C. Martin and B. A. Conway, New numerical methods for determining periodic orbits in the circular restricted three-body problem, Proceedings of the 61st International Astronautical Congress, Prague, paper IAC-10-C1.1.2, (2010). |
[77] |
L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko, "The Mathematical Theory of Optimal Processes," Princeton University Press, New York, 1962. |
[78] |
J. E. Prussing, Simple proof of the global optimality of the Hohmann transfer, Journal of Guidance, Control, and Dynamics, 15 (1992), 1037-1038.doi: 10.2514/3.20941. |
[79] |
D. C. Redding, Optimal low-thrust transfers to geosynchronous orbit, Stanford University Guidance and Control Lab, report SUDAAR 539, Stanford (1983). |
[80] |
H. M. Robbins, Optimality of intermediate thrust arcs of rocket trajectories, AIAA Journal, 3 (1965), 1094-1098.doi: 10.2514/3.3060. |
[81] |
H. M. Robbins, Analytical study of the impulsive approximation, AIAA Journal, 4 (1966), 1417-1423.doi: 10.2514/3.3687. |
[82] |
M. Rosa Sentinella and L. Casalino, Cooperative evolutionary algorithm for space trajectory optimization, Celestial Mechanics and Dynamical Astronomy, 105 (2009), 211-227.doi: 10.1007/s10569-009-9223-4. |
[83] |
W. A. Scheel and B. A. Conway, Optimization of very-low-thrust, many-revolution spacecraft trajectories, Journal of Guidance, Control, and Dynamics, 17 (1994), 1182-1192.doi: 10.2514/3.21331. |
[84] |
H. Seywald, Trajectory optimization based on differential inclusion, Journal of Guidance, Control, and Dynamics, 17 (1994), 480-487.doi: 10.2514/3.21224. |
[85] |
A. Shternfeld, "Soviet Space Science," Basic Books, Inc., New York, 1959. |
[86] |
C. J. Spaans and E. Mooij, Performance evaluation of global trajectory optimization methods for a solar polar sail mission, Paper AIAA 2009-5666, (2009). |
[87] |
S. Tang and B. A. Conway, Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming, Journal of Guidance, Control, and Dynamics, 18 (1995), 599-604.doi: 10.2514/3.21429. |
[88] |
L. Ting, Optimum orbital transfer by impulses, ARS Journal, 30 (1960), 1013-1018. |
[89] |
L. Ting, Optimum orbital transfer by several impulses, Astronautica Acta, 6 (1960), 256-265. |
[90] |
M. Vasile, E. Minisci and M. Locatelli, On testing global optimization algorithms for space trajectory design, Paper AIAA 2008-6277, (2008). |
[91] |
G. Venter and J. Sobieszczanski-Sobieski, Particle swarm optimization, AIAA Journal, 41 (2003), 1583-1589.doi: 10.2514/2.2111. |
[92] |
N. X. Vinh, General theory of optimal trajectory for rocket flight in a resisting medium, Journal of Optimization Theory and Applications, 11 (1973), 189-202.doi: 10.1007/BF00935883. |
[93] |
C. B. Winn, Minimum fuel transfers between coaxial orbits, both coplanar and noncoplanar, Paper AAS 66-119 (1966). |
[94] |
C. Zee, Effects of finite thrusting time in orbit maneuvers, AIAA Journal, 1 (1963), 60-64.doi: 10.2514/3.1469. |
[95] |
K. Zhu, J. Li and H. Baoyin, Trajectory optimization of multi-asteroids exploration with low thrust, Transactions of the Japan Society for Aeronautical and Space Sciences, 52 (2009), 47-54. |
[96] |
K. Zhu, J. Li and H. Baoyin, Satellite scheduling considering maximum observation coverage time and minimum orbital transfer fuel cost, Acta Astronautica, 66 (2010), 220-229.doi: 10.1016/j.actaastro.2009.05.029. |
[97] |
K. P. Zondervan, L. J. Wood and T. K. Caughey, Optimal low-thrust, three-burn orbit transfers with large plane changes, Journal of the Astronautical Sciences, 32 (1984), 407-427. |