×

zbMATH — the first resource for mathematics

A knowledge-based system for robustness analysis of large-scale economic systems. (English) Zbl 0758.90012
Summary: The paper gives a conceptual framework for robustness analysis of large- scale economic systems, and its realization through interactive computer- aided software. The mismatch between the economic system and the corresponding mathematical model is discussed. The computer-aided system combines algorithmic and expert system techniques. An important feature of the present system is the modularization of the software package which allows a distributed problem solving approach. A fourth-order macroeconomic model, with typical parameters, which demonstrates the margin of power of the governmental body can exercise on the various sectoral activities, is used to illustrate some of the concepts presented in this paper.
MSC:
91B62 Economic growth models
91B74 Economic models of real-world systems (e.g., electricity markets, etc.)
91B64 Macroeconomic theory (monetary models, models of taxation)
93C55 Discrete-time control/observation systems
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] ()
[2] Kendrick, D.; Taylor, L., Numerical solution of nonlinear planning methods, Econometrica, 38, 453-467, (1970)
[3] Dobell, A.R.; Ho, Y.C., Optimal investment policy: an example of a control problem in economic theory, IEEE transactions on automatic control, AC-12, 4-14, (1967)
[4] Preston, A.J.; Wall, K.D., Some aspects of the use of state space models in econometrics, ()
[5] Frank, P.M., Introduction to sensitivity theory, (1978), Academic Press London · Zbl 0464.93001
[6] Petkovski, Dj.B., Recent developments in the robustness theory of multivariable control systems—a surey, Automatika, 24, 104-113, (1983)
[7] Petkovski, Dj.B.; Athans, M., Robustness results in decentralized multivariable feedback design, Massachusetts institute of technology report LIDS-R-1304, (1983)
[8] Petkovski, Dj.B., Robustness of decentralized control systems subject to sensor perturbations, (), 53-58 · Zbl 0403.93021
[9] Grujic, Lj.; Petkovski, Dj.B., On the robustness of lurie systems with multiple non-linearities, Autonomatica, 23, 327-334, (1987) · Zbl 0626.93052
[10] Honkins, W.; Pennington, J.; Barker, J., Decision-making and problem solving methods in automation technology, Nasa-tm-83216, (May 1983)
[11] Hayes-Roth, F.; Waterman, D.; Lenat, D., Building expert systems, (1983), Addison-Wesley Publ. Company Reading, Mass
[12] Ho, B.L.; Kalman, R.E., Effective construction of linear state-variable methods for input-output functions, Regelungstechnik, 14, 545-548, (1966) · Zbl 0145.12701
[13] Silverman, L.M., Realization of linear dynamic systems, IEEE transactions on automatic control, AC-16, 554-567, (1971)
[14] Chow, G.C., Analysis and control of dynamic economic systems, (1975), John Wiley and Sons New York · Zbl 0314.90001
[15] Myoken, H.; Uchida, Y., Minimal canonical form realization for multivariable econometric systems, International journal of systems science, (1983) · Zbl 0369.90018
[16] Mehra, R.K., Identification in control and econometrics; similarities and differences, Annuals of economic and social measurement, 3, 21-48, (1974)
[17] Petkovski, Dj.B., Decentralized control strategies for large-scale discrete-time systems, (), 170-182 · Zbl 0403.93021
[18] Genesio, R.; Milanese, M., A note on the deviation and use of reduced-order models, IEEE transaction on automatic control, AC-21, 118-122, (1976) · Zbl 0317.93007
[19] Aoki, M., Control of large-dynamic systems by aggregation, IEEE transaction on automatic control, AC-13, 246-253, (1968)
[20] Kokotovic, P.V.; O’Malley, R.; Sannuti, P., Singular perturbations and order reduction in control theory—an overview, Automatica, 12, 123-132, (1976) · Zbl 0323.93020
[21] Petkovski, Dj.B., Calculation of optimum feedback gains for output constrained regulators, Journal of numerical methods in engineering, 12, 1873-1878, (1978) · Zbl 0403.93021
[22] Petkovski, Dj.B.; Rakic, M., Series solution of feedback gain for output constrained regulators, International journal of control, 30, 661-668, (1979) · Zbl 0498.93018
[23] IEEE transaction on automatic control, Special issue on linear multivariable control, AC-26, (1981)
[24] ()
[25] Dorato, P., Robust control: A historical review, (), 346-349
[26] Petkovski, Dj.B., Robustness of control systems subject to modelling uncertainties, RAIRO automatique syst. anal. and control, 18, 315-327, (1984) · Zbl 0553.93006
[27] Petkovski, Dj.B., Time-domain robustness criteria for large-scale economic systems, Journal of economic dynamics and control, 11, 249-254, (1987) · Zbl 0641.90025
[28] Petkovski, Dj.B., On the robust stability of linear state space models, () · Zbl 0403.93021
[29] Petkovski, Dj.B., Robust stability of decentralized ε-coupled control systems, Control and cybernetics, 13, 332-339, (1984) · Zbl 0563.93052
[30] Petkovski, Dj.B., Robust stability of decentralized output control systems with application to singular perturbation theory, Problems of control and information theory, 15, 345-365, (1986) · Zbl 0625.93049
[31] Petkovski, Dj.B., Suboptimal performance criterion sensitivity of large-scale decentralized control systems, Kybernetika, 22, 487-502, (1986)
[32] Boley, D.; Lu, W.S., Measuring how far a controllable system is from an uncontrollable one, IEEE transaction on automatic control, AC-31, 249-251, (1986)
[33] Hondelman, D.A.; Stengel, R.F., An architecture for real-time rule-based control, (), 1636-1642
[34] Kelloge, C., From data management to knowledge management, Computer, (January, 1986)
[35] Mahmaud, M.S., Hierarchical control policies for macroeconomic systems stabilization, ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.