Abstract
Cooperative systems are introduced to the reader as a part of a broader class of collective systems. A taxonomy of collective systems is defined such that each class within the taxonomy is rigorously defined based upon the mathematical constructs of team theory. It is shown that this taxonomy leads to a precise definition of cooperation and clearly separates intentional cooperation from serendipitous complementary behavior. Concepts of precedence, hierarchy, and supervision are made clear in the presence of information such that team theory and decentralized control theory are generalized into the single framework of collective systems. It is anticipated that this framework will lead to a consistent representation of cooperation in future research and new methods for solving the hard problem of non nested information structures in team theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Basar T. and Olsder G. (1982). Dynamic Noncooperative Game Theory. Academic Press, NY.
Branicky M. (1998). “Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,” IEEE Transactions on Automatic Control, Vol. 43, No. 4, Apr 1998, 475–482.
Branicky M., Borkar V., and S. Mitter (1998). “A unified framework for hybrid control: model and optimal control theory,” IEEE Transactions on Automatic Control, Vol. 43, No. 1, Jan 1998, 31–45.
Deng X. and Papadimitriou C. (1999). “Decision making by hierarchies of discordant agents,” Mathematical Programming, Vol. 86, No. 2, 417–431.
Di Febbraro A. and Sacone S. (1998). “Hybrid petri nets for the performance analysis of transportation systems,” Proc. 37th IEEE Conference on Decision and Control, Tampa, FL.
Geanakoplos J.and Milgrom P. (1991). “A theory of hierarchies based on limited managerial attention,” J. of the Japanese and International Economies, Vol. 5, No. 3, 205–225.
Harary F. (1969). “Graph Theory”, Addison-Wesley Publishing Company, Reading, MA.
Ho Y.C. and Chu K.C. (1972). “Team decision theory and information structures in optimal control problems-part 1,” IEEE Trans. Automatic Control, Vol. AC-17, No. 1, 15–20.
Ho Y.C. and Chu K.C. (1974). “Information structure in dynamic multi-person control problems,” Automatica, Vol. 10, 341–351.
Hubbard P. and Caines P. (1999). “Initial investigations of hierarchical supervisory control for multi-agent systems,” Proceedings of the 38th Conference on Decision and Control, Pheonix, AZ USA, Dec 1999, 2218–2223.
Kuhn R. (1997). “Sources of failure in the public switched telephone network,” IEEE Computer, April 1997.
Locsin J. (1994). “SCADA/EMS study reflects changing industry,” Electric Light and Power, Sep. 1994, 35–37.
Marschak J. (1955). “Elements for a theory of teams,” Management Science, Vol. 1, 127–137.
(1972). Marschak J. and Radner R. Economic Theory of Teams. Yale University Press, New Haven CT.
Marschak T. and Reichelstein S. (1998). “Network mechanisms, informational efficiency, and hierarchies,” J. of Economic Theory, 79, 106–141.
McDonald J. (1994). “Public network integrity-avoiding a crisis in trust,” IEEE Journal on Selected Areas in Communications, Jan 1994, 5–12.
North American Electric Reliability Council (NERC) (1985). “Reliability Concepts,” Princeton NJ.
North American Electric Reliability Council (NERC) (1996). “Reliability Assessment 1996–2005: The Reliability of Bulk Electric Systems in North America,” Princeton NJ.
Ownbey P., Schaumburg F. and Klingeman P. (1988). “Ensuring the security of public water supplies,” Journal of the American Water Works Association, Feb. 1988, 30–34.
Radner R. (1962). “Team decision problems,” Ann. Math Statistics, Vol 33, No. 3, 857–881.
Ramadge P. and Wonham W. (1989). “The control of discrete event systems,” Proceedings of the IEEE, Vol. 77, No. 1, Jan 1989, 81–98.
Rudie K. and Wonham W. (1992). “Think globally, act locally: decentralized supervisory control,” IEEE Transactions on Automatic Control, Vol. 37, No. 11, Nov 1992, 1692–1708.
Smith J. (1995). “Disaster avoidance and recovery,” Government Computer News, Jun. 19, 1995, 67–69.
U.S. Federal Highway Administration, (1995). “Status of the Nation’s Surface Transportation System: Condition and Performance,” Report to Congress, 1996.
U.S. General Accounting Office, (1993). “Telecommunications: Interruptions of Telephone Service,” Report GAOO/RCED-93-79FS, Mar. 1993.
Witsenhausen H.S. (1968). “A counterexample in stochastic optimum control,” Siam J. Control, Vol. 6, No. 1, 131–147.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Murphey, R. (2002). An Introduction to Collective and Cooperative Systems. In: Murphey, R., Pardalos, P.M. (eds) Cooperative Control and Optimization. Applied Optimization, vol 66. Springer, Boston, MA. https://doi.org/10.1007/0-306-47536-7_9
Download citation
DOI: https://doi.org/10.1007/0-306-47536-7_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-0549-7
Online ISBN: 978-0-306-47536-8
eBook Packages: Springer Book Archive