Citation: |
[1] |
V. I. Arnold, "Geometric Method in the Theory of Ordinary Differential Equations," Springer-Verlag, New York, 1983.doi: 10.1007/978-1-4684-0147-9. |
[2] |
T. Başar, Two-criteria LQG decision problems with one-step delay observation sharing pattern, Information and Control, 38 (1978), 21-50.doi: 10.1016/S0019-9958(78)90018-9. |
[3] |
T. Başar, On the saddle-point solution of a class of stochastic differential games, Journal on Optimization Theory and Applications, 33 (1981), 539-556.doi: 10.1007/BF00935757. |
[4] |
T. Başar and S. Li, Distributed computation of Nash equilibria in linear-quadratic stochastic differential games, SIAM Journal on Control and Optimization, 27 (1989), 563-578.doi: 10.1137/0327030. |
[5] |
T. Başar and G. J. Olsder, "Dynamic Noncooperative Game Theory," 2nd Ed., SIAM Series in Classics in Applied Mathematics, Philadelphia, 1999. |
[6] |
Y. Bar-Shalom and E. Tse, Dual effect, certainty equivalence, and separation in stochastic control, IEEE Transactions on Automatic Control, 19 (1974), 494-500.doi: 10.1109/TAC.1974.1100635. |
[7] |
S. Bhattacharya, A. Gupta and T. Başar, Decentralized opportunistic navigation strategies for multi-agent systems in the presence of an adversary, in "IFAC World Congress," Milan, Italy, August, (2011), 11809-11814. |
[8] |
S. Bhattacharya and T. Başar, Differential game-theoretic approach for spatial jamming attack in a UAV communication network, in "14th International Symposium on Dynamic Games and Applications," Banff, CA, June, 2010. |
[9] |
S Bhattacharya and T. Başar, Game-theoretic analysis of an aerial jamming attack on a UAVcommunication network , in "American Control Conference," Baltimore, Maryland, June, (2010), 818-823. |
[10] |
S. Bhattacharya and T. Başar, Graph-theoretic approach to connectivity maintenance in mobile networks in the presence of a jammer, in "IEEE Conference on Decision and Control," Atlanta, GA, December, (2010), 3560-3565. |
[11] |
S Bhattacharya and T. Başar, Optimal strategies to evade jamming in heterogeneous mobile networks, in "Workshop on search and pursuit-evasion," Anchorage, Alaska, 2010. |
[12] |
S. Bhattacharya and T. Başar, Differential game-theoretic approach to a spatial jamming problem, Annals of Dynamic Games, 2011, to appear. |
[13] |
S. Bhattacharya and T. Başar, Spatial approaches to broadband jamming in heterogeneous mobile networks: a game-theoretic approach, Autonomous Robots, 31 (2011), 367-381.doi: 10.1007/s10514-011-9253-0. |
[14] |
N. Biggs., "Algebraic Graph Theory," Cambridge University Press, Cambridge, U.K., 1993. |
[15] |
A. Blaquière, F. Gerard and G. Leitmann., "Quantitative and Qualitative Games," Academic Press, New York, NY, 1969. |
[16] |
J. V. Breakwell and P. Hagedorn, Further properties of non-zero sum differential games, Journal of Optimization Theory and Applications, 3 (1969), 207-219.doi: 10.1007/BF00926523. |
[17] |
J. V. Breakwell and P. Hagedorn, Point capture of two evaders in succession, Journal of Optimization Theory and Applications, 27 (1979), 89-97.doi: 10.1007/BF00933327. |
[18] |
H. Cao, E. Ertin, V. Kulathumani, M. Sridharan and A. Arora, Differential games in large-scale sensor-actuator networks, in "The Fifth International Conference on Information Processing in Sensor Networks (IPSN)," (2006), 77-84. |
[19] |
H. Choset, K.M. Lynch, S. Hutchinson, G. Kantor, W. Burgard, L. Kavraki and S. Thrun, "Principles of Robot Motion: Theory, Algorithms, and Implementations," The MIT Press, Cambridge, MA, 2005. |
[20] |
R. Cogill and S. Lall, An approximation algorithm for the discrete team decision problem, SIAM Journal on Control and Optimization, 45 (2007), 1359-1368.doi: 10.1137/050628374. |
[21] |
M. C. DeGennaro and A. Jadbabaie, Decentralized control of connectivity for multiagent systems, in "IEEE Conference on Decision and Control," San Diego, CA, December, (2006), 3628-3633. |
[22] |
J. A. Fax and R. M. Murray, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 9 (2004), 1465-1474.doi: 10.1109/TAC.2004.834433. |
[23] |
F. Bullo G. Notarstefano, K. Savla and A. Jadbabaie, Maintaining limited-range connectivity among second order agents, in "American Control Conference," Minneapolis, June 2006, 2124-2129. |
[24] |
S. Gorman, Y. J. Dreazen and A. Cole, Insurgents hack U.S. drones, December 2009. Available from: http://online.wsj.com/article/SB126102247889095011.html. |
[25] |
A. Gupta, S. Bhattacharya and T. Başar, Decentralized control of multi agent system with adversarial switching topology, in "Infotech and Aerospace Conference," St. Louis, Missouri, March, 2011. |
[26] |
A. Jadbabaie, E. Stump and V. Kumar, Connectivity management in mobile robot teams, in "IEEE International conference on Robotics and Automation," May 2008, 1525-1530. |
[27] |
A. Jadbabaie H. Tanner and G. Pappas, Flocking in fixed and switching networks, IEEE Transactions on Automatic Control, 5 (2007), 863-868. |
[28] |
P. Hagedorn and J. V. Breakwell, A differential game of approach with two pursuers and one evader, Journal of Optimization Theory and Applications, 18 (1976), 15-29.doi: 10.1007/BF00933791. |
[29] | |
[30] |
M. Ji and M. Egerstedt, Connectedness preserving distributed coordination control among dynamic graphs, in "American Control Conference," Portland, OR, June, (2005), 93-98. |
[31] |
M. Ji and M. Egerstedt, Distributed formation control while preserving connectedness, in "IEEE Conference on Decision and Control," San Diego, CA, December, (2006), 5962-5967. |
[32] |
G. Leitmann, An optimum pursuit problem, Journal of the Franklin Institute, 263 (1957), 499-503.doi: 10.1016/0016-0032(57)90227-2. |
[33] |
G. Leitmann, "An Introduction to Optimal Control," McGraw-Hill, NY, 1966. |
[34] |
G. Leitmann, A differential game of pursuit and evasion, International Journal of Non Linear Mechanics, 4 (1969), 1-6.doi: 10.1016/0020-7462(69)90008-0. |
[35] |
G. Leitmann, "Cooperative and Non-Cooperative Many Player Differential Games," Springer Verlag, Vienna, 1974. |
[36] |
G. Leitmann, Guaranteed avoidance feedback control, IEEE Transactions on Automatic Control, 25 (1980), 850-851.doi: 10.1109/TAC.1980.1102408. |
[37] |
G. Leitmann and S. Gutman, Optimal strategies in the neighborhood of a collision course, AIAA Journal, 14 (1976), 1210-1212.doi: 10.2514/3.7213. |
[38] |
A. Y. Levchenkov and A. G. Pashkov, Differential game of optimal approach of two inertial pursuers to a noninertial evader, Journal of Optimization Theory and Applications, 65 (1990), 501-518.doi: 10.1007/BF00939563. |
[39] |
J. Lewin, "Differential Games: Theory and Methods for Solving Game Problems with Singular Surfaces," Springer-Verlag, London, 1994. |
[40] |
S. Li and T. Başar, Distributed algorithms for the computation of noncooperative equilibria, Automatica, 23 (1987), 523-533.doi: 10.1016/0005-1098(87)90081-1. |
[41] |
D. Liberzon, "Switching in Systems and Control," Birkhauser, 2003.doi: 10.1007/978-1-4612-0017-8. |
[42] |
D. McCullagh, Predator drones hacked in Iraq operations, December 2009, Available from: http://news.cnet.com/8301-1009_3-10417247-83.html. |
[43] |
A. A. Melikyan, "Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games," Applications of Mathematics, 2000. |
[44] |
M. Mesbahi and M. Egerstedt, "Graph Theoretic Methods in Multiagent Networks," Princeton University Press, New Jersey, 2010. |
[45] |
Mehran Mesbahi, On state-dependent dynamic graphs and their controllability properties, IEEE Transactions on Automatic Control, 50 (2005), 387-392.doi: 10.1109/TAC.2005.843858. |
[46] |
I. M. Mitchell and C. J. Tomlin, Overapproximating reachable sets by hamilton-jacobi projections, Journal of Scientific Computing, 19 (2003), 323-346.doi: 10.1023/A:1025364227563. |
[47] |
V. Kumar N. Michael, M. M. Zavlanos and G. J. Pappas, Maintaining connectivity in mobile robot networks, in "Eleventh International Symposium on Experimental Robotics," Athens, Greece, July, 2008. |
[48] |
G. Noubir and G. Lin, Low power denial of service attacks in data wireless lans and countermeasures, in "ACM Mobihoc," 2003. |
[49] |
R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time delay, IEEE Transactions on Automatic Control, 49 (2004), 1520-1533.doi: 10.1109/TAC.2004.834113. |
[50] |
P. Papadimitratos and Z. J. Haas, Secure routing for mobile ad hoc networks, in "SCS Communication Networks and Distributed Systems Modeling and Simulation Conference," January, (2002), 27-31. |
[51] |
C. H. Papadimitriou and J. N. Tsitsiklis, Intractable problems in control theory, SIAM journal on control and optimization, 24 (1986), 639-654.doi: 10.1137/0324038. |
[52] |
A. G. Pashkov and S. D. Terekhov, A differential game of approach with two pursuers and one evader, Journal of Optimization Theory and Applications, 55 (1987), 303-311.doi: 10.1007/BF00939087. |
[53] |
R. A. Poisel, "Modern Communication Jamming Principles and Techniques," Artech, Massachussets, 2004. |
[54] |
John J. Proakis and Masoud Salehi, "Digital Communications," McGraw-Hill, 2007. |
[55] |
I. Rhodes and D. Luenberger, Differential games with imperfect state information, IEEE Transactions on Automatic Control, 14 (1969), 29-38.doi: 10.1109/TAC.1969.1099086. |
[56] |
Sriram Shankaran, Dušsan Stipanović and Claire Tomlin, Collision avoidance strategies for a three player game, in "International Symposium of Dynamic Games and Applications," Wroclaw, Poland, July 2008. |
[57] |
J. Shinar and T. Vladimir, What happens when certainty equivalence is not valid? Is there an optimal estimator for terminal guidance?, Annual Reviews in Control, 27 (2003), 119-130.doi: 10.1016/j.arcontrol.2003.10.001. |
[58] |
D. P. Spanos and R. M. Murray, Robust connectivity of networked vehicles, in "IEEE Conference on Decision and Control," Bahamas, December, (2004), 2893-2898. |
[59] |
M. Spivak, "Calculus on Manifolds: A modern approach to Classical Theorems of Advanced Calculus," Perseus Books Publishing, 1965. |
[60] |
D. M. Stipanović, S. Shankaran and C. Tomlin, Strategies for agents in multi-player pursuit-evasion games, in "Eleventh International Symposium on Dynamic Games and Applications," 2008. |
[61] |
D. M. Stipanović, I. Hwang and C. J. Tomlin, Computation of an over-approximation of the backward reachable set using subsystem level set functions, Dynamics of Continuous, Discrete and Impulsive systems, Series A: Mathematical Analysis, 11 (2004), 399-411. |
[62] |
D. M. Stipanović, A. A. Melikyan and N. V. Hovakimyan, Some sufficient conditions for multi-player pursuit evasion games with continuous and discrete observations, in "Annals of the International Society of Dynamic Games," (2009), 133-145. |
[63] |
J. Tobias and N. Seddon, Signal jamming mediates sexual conflict in a duetting bird, Current Biology, 19 (2009), 577-582.doi: 10.1016/j.cub.2009.02.036. |
[64] |
J. Tsitsiklis and M. Athans, On the complexity of decentralized decision making and detection problems, IEEE Transactions on Automatic Control, 30 (1985), 440-446.doi: 10.1109/TAC.1985.1103988. |
[65] |
E. M. Vaisbord and V. I. Zhukovskiy, "Introduction to Multi-player Differential Games and their Applications," Gordon and Breach, New York, 1988. |
[66] |
M. M. Zavlanos and G. J. Pappas, Controlling connectivity of dynamic networks, in "44th IEEE Conference on Decision and Control,", Seville, Spain, December, (2005), 6388-6393.doi: 10.1109/CDC.2005.1583186. |
[67] |
M. M. Zavlanos and G. J. Pappas, Distributed connectivity control of mobile networks, in "46th IEEE Conference on Decision and Control," New Orleans, LA, December, (2007), 3591-3596.doi: 10.1109/CDC.2007.4434525. |
[68] |
M. M. Zavlanos and G. J. Pappas, Potential fields for maintaining connectivity of mobile networks, IEEE Transactions on Robotics, 23 (2007), 812-816.doi: 10.1109/TRO.2007.900642. |
[69] |
M. M. Zavlanos and G. J. Pappas, Distributed connectivity control of mobile networks, IEEE Transactions on Robotic, 24 (2008), 1416-1428.doi: 10.1109/TRO.2008.2006233. |
[70] |
V. I. Zhukovskiy and M. E. Salukvadze, "The Vector Valued Maxmin," Academic Press, San Diego, 1994. |