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Der Beitrag kontrolltheoretischer Methoden zur Analyse der Stabilisationspolitik

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Literatur

  • R. G. D. Allen (1959): Mathematical Economics, 2nd edition, London et al.

  • R. G. D. Allen (1967): Macro-Economic Theory. A Mathematical Treatment. London et al.

  • H. A. Antosiewicz (1963): Linear Control Systems. Archiv for Rational Mechanics and Analysis12, pp. 313–324.

    Google Scholar 

  • M. Aoki (1967): Optimization of Stochastic Systems. New York.

  • M. Aoki (1968): Control of Large-Scale Dynamic Systems by Aggregation. IEEE Transactions on Automatic Control, AC-13, pp. 246–253.

    Google Scholar 

  • M. Aoki (1970): Control of Large Decentralized Dynamic Systems. Proceedings of the 1970 IEEE Symposium on Adaptive Processes, Decision and Control, Austin (Texas), pp. XII, 1.1–1.5.

  • M. Aoki (1971 a): Some Control Problems Associated with Decentralized Dynamic Systems. IEEE Transactions on Automatic Control, AC-16, pp. 515–516.

    Google Scholar 

  • M. Aoki (1971 b): Aggregation. In: Wismer (1971), pp. 191–232.

  • M. Aoki (1972 a): On Feedback Stabilizability of Decentralized Dynamic Systems. Automatica8, pp. 163–173.

    Google Scholar 

  • M. Aoki (1972 b): Local Controllability of a Decentralized Economic System. Joint Automatic Control Conference 1972, p. 730.

  • M. Aoki (1973 a): On Sufficient Conditions for Optimal Stabilization Policies. Review of Economic Studies40 (1973), pp. 131–138.

    Google Scholar 

  • M. Aoki (1973 b): On Decentralized Linear Stochastic Control Problems with Quadratic Cost. IEEE Transactions on Automatic Control, AC-18, pp. 243–250.

    Google Scholar 

  • M. Aoki (1974): Local Controllability of a Decentralized Economic System. Review of Economic Studies41, pp. 51–63.

    Google Scholar 

  • M. Aoki (1975): On a Generalization of Tinbergen's Condition in the Theory of Policy to Dynamic Models. Review of Economic Studies42 (1975), pp. 293–296.

    Google Scholar 

  • K. J. Arrow (1964): Control in Large Organizations. Management Science10, pp. 397–408.

    Google Scholar 

  • K. J. Åström (1970): Introduction to Stochastic Control Theory. New York-London. Mathematics in Science and Engineering. Vol. 70.

  • K. J. Åström and P. Eykhoff (1971): Systems Identification — A Survey. Automatica7, pp. 123–162.

    Google Scholar 

  • M. Athans (ed.) (1971): Special Issue on the Linear-Quadratic-Gaussian Problem. IEEE Transactions on Automatic Control, AC-16, No. 6.

  • M. Athans and P. Falb (1966): Optimal Control: An Introduction to the Theory and its Applications. New York.

  • M. Athans and D. Kendrik (1974): Control Theory and Economics: A Survey, Forecast, and Speculations. IEEE Transactions on Automatic Control, AC-19, pp. 518–524.

    Google Scholar 

  • W. J. Baumol (1961): Pitfalls in Contracyclical Policies: Some Tools and Results. Review of Economics and Statistics43, pp. 21–26.

    Google Scholar 

  • R. Bellman (1957): Dynamic Programming, Princeton N. J.

  • R. Bellman (1974): Large Systems (Guest Editorial). IEEE Transactions on Automatic Control, AC-19 (1974), p. 465.

    Google Scholar 

  • J. E. Bertram and P. E. Sarachik (1959): Stability of Circuits with Randomly Time-Varying Parameters, IRE Transactions, Supplement to Volume CT-6, pp. 260–270.

    Google Scholar 

  • W. Brainard (1967): Uncertainty and the Effectiveness of Policy. American Economic Review, Papers and Proceedings, pp. 411–425.

  • C. Bruni, G. Di Pillo, and G. Koch (1974): Bilinear Systems: An Appealing Class of “Nearly Linear” Systems in Theory and Applications. IEEE Transactions on Automatic Control, AC-19, pp. 334–348.

    Google Scholar 

  • A. E. Bryson Jr. and Y.-C. Ho (1969): Applied Optimal Control; Waltham, Mass.

  • R. S. Bucy and P. D. Joseph (1968): Filtering for Stochastic Processes with Applications to Guidance, New York.

  • A. Carter and A. Brody (eds.) (1970): Contributions to Input-Output-Analysis. Amsterdam.

  • C.-T. Chen (1968): Representations of Linear Time-Invariant Composite Systems. IEEE Transactions on Automatic Control, AC-13, pp. 277–283.

    Google Scholar 

  • C.-T. Cheng and C. A. Desoer (1967): Controllability and Observability of Composite Systems. IEEE Transactions on Automatic Control, AC-12, pp. 402–409.

    Google Scholar 

  • H. Chernoff (1968): Optimal Stochastic Control. In: Dantzig u. Veinott (1968), pp. 149–172.

  • C.-Y. Chong and M. Athans (1971): On the Stochastic Control of Linear Systems with Different Information Sets. IEEE Transactions on Automatic Control, AC-16, pp. 423–430.

    Google Scholar 

  • G. C. Chow (1970): Optimal Stochastic Control of Linear Economic Systems. Journal of Money, Credit and Banking,2, pp. 291–302.

    Google Scholar 

  • G. C. Chow (1972): Optimal Control of Linear Econometric Systems with Finite Time Horizon. International Economic Review13, pp. 16–25.

    Google Scholar 

  • G. C. Chow (1973 a): Problems of Economic Policy from the Viewpoint of Optimal Control. American Economic Review63, pp. 825–837.

    Google Scholar 

  • G. C. Chow (1973 b): Effects of Uncertainty on Optimal Control Policies. International Economic Review14, pp. 632–645.

    Google Scholar 

  • G. C. Chow (1975): Analysis and Control of Dynamic Economic Systems. New York.

  • K.-C. Chu (1972): Team Decision Theory and Information Structures in Optimal Control Problems — Part II. IEEE Transactions on Automatic Control AC-17, pp. 22–28.

    Google Scholar 

  • K.-C. Chu (1974): Optimal Decentralized Regulation for a String of Coupled Systems. IEEE Transactions on Automatic Control, AC-19, pp. 243–246.

    Google Scholar 

  • J. P. Cooper and S. Fisher (1975): A Method for Stochastic Control of Nonlinear Econometric Models and an Application. Econometrica43, pp. 147–162.

    Google Scholar 

  • J. P. Corfmat and A. S. Morse (1973): Stabilization with Decentralized Feedback Control. IEEE Transactions on Automatic Control, AC-18, pp. 679–682.

    Google Scholar 

  • G. B. Dantzig and A. F. Veinott (eds.) (1968): Mathematics of the Decision Sciences, Vol. 2; American Mathematical Society, Providence, Rhode Island.

    Google Scholar 

  • R. Dorfman (1969): An Economic Interpretation of Optimal Control Theory. American Economic Review59, pp. 817–831.

    Google Scholar 

  • C. J. van Eijk and J. Sandee (1959): Quantitative Determination of an Optimum Economic Policy. Econometrica27, pp. 1–13.

    Google Scholar 

  • E. Fabian and W. M. Wonham (1974): Generic Solvability of the Decoupling Problem. SIAM Journal on Control12, pp. 688–694.

    Google Scholar 

  • P. L. Falb and W. A. Wolovich (1967): Decoupling in the Design and Synthesis of Multivariable Systems. IEEE Transactions on Automatic Control, AC-12, pp. 651–659.

    Google Scholar 

  • L. T. Fan and C. S. Wang (1964): The Discrete Maximum Principle. New York.

  • K. A. Fox, J. K. Sengupta, and E. Thorbecke (1973): The Theory of Quantitative Economic Policy with Applications to Economic Growth, Stabilization and Planning. 2nd revised edition. Amsterdam-London. 1st ed. 1966.

  • B. M. Friedman (1974): Methods in Optimization for Economic Stabilization Policy. Amsterdam et al.

  • M. Friedman (1968): The Role of Monetary Policy. American Economic Review58, pp. 1–17.

    Google Scholar 

  • E. G. Gilbert (1969): The Decoupling of Multivariable Systems by State Feedback. SIAM Journal on Control7, pp. 50–63.

    Google Scholar 

  • G. Hadley and M. C. Kemp (1971): Variational Methods in Economics. Amsterdam.

  • B. G. Hickman (ed.) (1965): Quantitative Planning of Economic Policy. A Conference of the Social Science Research Council Committee on Economic Stability. The Brookings Institution, Washington D. C.

    Google Scholar 

  • Y.-C. Ho and K.-C. Chu (1972): Team Decision Theory and Information Structures in Optimal Control Problems — Part I. IEEE Transactions on Automatic Control, AC-17, pp. 15–22.

    Google Scholar 

  • Y.-C. Ho and K.-C. Chu (1973): On the Equivalence of Information Structures in Static and Dynamic Teams. IEEE Transactions on Automatic Control, AC-18, pp. 187–188.

    Google Scholar 

  • C. C. Holt (1962): Linear Decision Rules for Economic Stabilization and Growth. Quarterly Journal of Economics76, pp. 20–45.

    Google Scholar 

  • M. D. Intriligator (1971): Mathematical Optimization and Economic Theory. Englewood Cliffs, N. J.

  • A. H. Jazwinski (1970): Stochastic Processes and Filtering Theory, New York.

  • P. D. Joseph and J. T. Tou (1961): On Linear Control Theory. Transactions of the AIEE (Applications and Industry)80, pp. 193–196.

    Google Scholar 

  • G. Kade, D. Ipsen, and R. Hujer (1968): Modellanalyse ökonomischer Systeme. Regelung, Steuerung oder Automatismus? Jahrbücher für Nationalökonomie und Statistik182, S. 2–35.

    Google Scholar 

  • T. Kailath (ed.) (1974): Special Issue on System Identification and Time Series Analysis. IEEE Transactions on Automatic Control, AC-19, No. 6.

  • R. E. Kalman (1960): Contributions to the Theory of Optimal Control. Boletin de la Sociedad Matematica Mexicana5, pp. 102–119.

    Google Scholar 

  • R. E. Kalman and R. S. Bucy (1961): New Results in Linear Filtering and Prediction Theory. Transactions ASME, Series D, Journal of Basic Engineering83, pp. 95–107.

    Google Scholar 

  • R. E. Kalman, Y. C. Ho, and K. S. Narendra (1963): Controllability of Linear Dynamical Systems. Contributions to Differential Equations1, pp. 189–213.

    Google Scholar 

  • I. I. Kats and N. N. Krasovskii (1960): On the Stability of Systems with Random Parameters. PMM Journal of Applied Mathematics and Mechanics24, pp. 1225–1246 (translated from Russian).

    Google Scholar 

  • D. Kendrick and J. Majors (1974): Stochastic Control with Uncertain Macroeconomic Parameters, Automatica10, pp. 587–593.

    Google Scholar 

  • A. N. Kolmogorov (1941): Interpolation and Extrapolation of Stationary Random Sequences. Bulletin of Moscow University, Series Mathematics5.

  • H. J. Kushner (1965): On the Stochastic Maximum Principle, Journal of Mathematical Analysis and Applications11, pp. 78–92.

    Google Scholar 

  • H. J. Kushner (1967): Stochastic Stability and Control. New York.

  • H. J. Kushner (1971): Introduction to Stochastic Control. New York et al.

  • D. A. Livesey (1971): Optimising Short-Term Economic Policy. Economic Journal81, pp. 525–546.

    Google Scholar 

  • C. B. McGuire and R. Radner (eds.) (1972): Decision and Organization. A Volume in Honor of Jacob Marschak. Amsterdam-London.

  • H. Markowitz (1959): Portfolio Selection. New York.

  • L. Markus and E. B. Lee (1967): Foundations of Optimal Control Theory. New York.

  • J. Marschak (1955): Elements for a Theory of Teams. Management Science1, pp. 127–137.

    Google Scholar 

  • J. Marschak and R. Radner (1972): Economic Theory of Teams. New Haven-London.

  • M. D. Mesarovic, D. Macko, and Y. Takahara (1970 a): Theory of Hierarchical, Multilevel Systems. New York.

  • M. D. Mesarovic, D. Macko, and Y. Takahara (1970 b): Two Coordination Principles and Their Application in Large Scale Systems Control. Automatica6, pp. 261–270.

    Google Scholar 

  • K. Mori and E. Shimemura (1974): On Linear Stochastic Control Problems with Communication Among Agents. Preprints of the Stochastic Control Symposium 1974, IFAC, Budapest, pp. 105–113.

    Google Scholar 

  • A. S. Morse and W. M. Wonham (1970): Decoupling and Pole Assignment by Dynamic Compensation. SIAM Journal on Control8, pp. 317–337.

    Google Scholar 

  • A. S. Morse and W. M. Wonham (1971): Status of Noninteracting Control. IEEE Transactions on Automatic Control, AC-16, pp. 568–581.

    Google Scholar 

  • L. W. Neustadt (1968): A Survey of Certain Aspects of Control Theory. In: Dantzig u. Veinott (1968), pp. 3–16.

  • A. W. Phillips (1954): Stabilization Policy in a Closed Economy. Economic Journal64, pp. 290–323.

    Google Scholar 

  • A. W. Phillips (1957): Stabilisation Policy and the Time-Form of Lagged Responses. Economic Journal67, pp. 265–277.

    Google Scholar 

  • R. S. Pindyck (1972): An Application of the Linear Quadratic Tracking Problem to Economic Stabilization Policy. IEEE Transactions on Automatic Control, AC-17, pp. 287–300.

    Google Scholar 

  • R. S. Pindyck (1973 a): Optimal Policies for Economic Stabilization. Econometrica41, pp. 529–560.

    Google Scholar 

  • R. S. Pindyck (1973 b): Optimal Planning for Economic Stabilization. The Application of Control Theory to Stabilization Policy. Amsterdam-London. Contributions to Economic Analysis, Vol. 81.

  • L. S. Pontryagin et al. (1962): The Mathematical Theory of Optimal Processes (translated by K. N. Trigoroff), New York.

  • A. J. Preston (1972): A Paradox in the Theory of Optimal Stabilization. Review of Economic Studies39, pp. 423–432.

    Google Scholar 

  • A. J. Preston (1974): A Dynamic Generalization of Tinbergen's Theory of Policy. Review of Economic Studies41, pp. 65–74.

    Google Scholar 

  • R. Radner (1961): The Evaluation of Information in Organizations. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, pp. 491–530.

    Google Scholar 

  • R. Radner (1962): Team Decision Problems. Annals of Mathematical Statistics33, pp. 857–881.

    Google Scholar 

  • A. P. Sage (1968): Optimum Systems Control. New Jersey.

  • N. R. Sandell Jr. and M. Athans (1974): Solution of Some Nonclassical LQG Stochastic Decision Problems. IEEE Transactions on Automatic Control, AC-19, pp. 108–116.

    Google Scholar 

  • J. K. Sengupta (1964): Policy Criteria for Stabilization and Growth. Oxford Economic Papers16, pp. 407–417.

    Google Scholar 

  • J. K. Sengupta (1965 a): Income Stabilization Policy: An Elementary Empirical Analysis. Economia Internazionale18, pp. 413–427.

    Google Scholar 

  • J. K. Sengupta (1965 b): Optimum Economic Policy for Stabilization with a Quadratic Criterion Function. Zeitschrift für die gesamte Staatswissenschaft121, S. 646–666.

    Google Scholar 

  • J. K. Sengupta (1966): A Simple Generalization of the Phillips-Type Model of Economic Stabilization. Zeitschrift für die gesamte Staatswissenschaft122, S. 629–645.

    Google Scholar 

  • J. K. Sengupta (1970): Optimal Stabilization Policy with a Quadratic Criterion Function. Review of Economic Studies37, pp. 127–145.

    Google Scholar 

  • J. K. Sengupta and K. A. Fox (1969): Economic Analysis and Operations Research. Optimization Techniques in Quantitative Economic Models. Amsterdam.

  • L. M. Silverman and H. J. Payne (1971): Input-Output Structure of Linear Systems with Application to the Decoupling Problem. SIAM Journal on Control9, pp. 199–233.

    Google Scholar 

  • H. A. Simon (1956): Dynamic Programming under Uncertainty with a Quadratic Criterion Function. Econometrica24, pp. 74–81.

    Google Scholar 

  • A. Strauss (1968): An Introduction to Optimal Control Theory. Berlin et al. Lecture Notes in Operations Research and Mathematical Systems, Vol. 3.

  • D. Sworder (1966): Optimal Adaptive Control Systems. New York.

  • Y. Takahara and M. D. Mesarovic (1969): Coordinability of Dynamic Systems. IEEE Transactions on Automatic Control, AC-14, pp. 688–698.

    Google Scholar 

  • H. Theil (1957): A Note on Certainty Equivalence in Dynamic Programming. Econometrica25, pp. 346–349.

    Google Scholar 

  • H. Theil (1958): Economic Forecasts and Policy. Amsterdam.

  • H. Theil (1964): Optimal Decision Rules for Government and Industry. Amsterdam-London.

  • J. Tinbergen (1952): On the Theory of Economic Policy. Amsterdam.

  • J. Tinbergen (1954): Centralization and Decentralization in Economic Policy. Amsterdam.

  • J. Tinbergen (1956): Economic Policy: Principles and Design. 1st ed. Amsterdam.

  • G. Tintner (1973): Control Theory: Balance and Perspective. Proceedings of the 39th Session of the International Statistical Institute, Vol. 4, Wien, pp. 302–314.

    Google Scholar 

  • G. Tintner and J. K. Sengupta (1972): Stochastic Economics: Stochastic Processes, Control and Programming. New York-London.

  • V. A. Trapeznikov (1972): Man in the Control System. Automation and Remote Control33, pp. 171–179 (translated from Avtomatika i Telemekhanika 1971).

    Google Scholar 

  • S. J. Turnovsky (1973): Optimal Stabilization Policies for Deterministic and Stochastic Linear Economic Systems. Review of Economic Studies40, pp. 79–95.

    Google Scholar 

  • S. J. Turnovsky (1974): The Stability Properties of Optimal Economic Policies. American Economic Review64, pp. 136–148.

    Google Scholar 

  • A. Tustin (1953): The Mechanism of Economic Systems. An Approach to the Problem of Economic Stabilisation from the Point of View of Control-System Engineering. London et al.

  • K. P. Vishwakarma (1974): Macroeconomic Regulation. Rotterdam.

  • S. H. Wang and E. J. Davison (1973 a): On the Controllability and Observability of Composite Systems. IEEE Transactions on Automatic Control, AC-18, p. 74.

    Google Scholar 

  • S. H. Wang and E. Davison (1973 b): On the Stabilization of Decentralized Control Systems. IEEE Transactions on Automatic Control, AC-18, pp. 473–478.

    Google Scholar 

  • P. Whittle (1963): Prediction and Regulation. New Jersey.

  • N. Wiener (1949): The Extrapolation, Interpolation and Smoothing of Stationary Time Series with Engineering Applications. New York.

  • H. S. Witsenhausen (1968): A Counterexample in Stochastic Optimum Control. SIAM Journal on Control6, pp. 131–147.

    Google Scholar 

  • H. S. Witsenhausen (1971 a): On Information Structures. Feedback and Causality. SIAM Journal on Control9, pp. 149–160.

    Google Scholar 

  • H. S. Witsenhausen (1971 b): Separation of Estimation and Control for Discrete Time Systems. Proceedings of the IEEE59, pp. 1557–1566.

    Google Scholar 

  • W. A. Wolovich (1975): Output Feedback Decoupling. IEEE Transactions on Automatic Control, AC-20, pp. 148–149.

    Google Scholar 

  • W. M. Wonham (1967): On Pole Assignment in Multi-Input Controllable Linear Systems. IEEE Transactions on Automatic Control, AC-72, pp. 660–665.

    Google Scholar 

  • W. M. Wonham (1969): Optimal Stochastic Control. Automatica5, pp. 113–118.

    Google Scholar 

  • W. M. Wonham and A. S. Morse (1970): Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach. SIAM Journal on Control8, pp. 1–18.

    Google Scholar 

  • W. M. Wonham and J. B. Pearson (1974): Regulation and Internal Stabilization in Linear Multivariable Systems. SIAM Journal on Control12, pp. 5–18.

    Google Scholar 

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  1. Reinhard Neck

    Present address: , Anzbachgasse 8, A-1140, Wien, Österreich

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    Reinhard Neck

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Für Anregungen und Unterstützung danke ich besonders den Herren Professoren Abele (Universität Freiburg/Schweiz), Tintner (TU Wien), Aoki (Universität Urbana/Illinois, USA) und Ferschl (Universität Wien); für allenfalls verbleibende Irrtümer bleibe ich selbst verantwortlich.

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Neck, R. Der Beitrag kontrolltheoretischer Methoden zur Analyse der Stabilisationspolitik. Zeitschr. f. Nationalökonomie 36, 121–151 (1976). https://doi.org/10.1007/BF01283920

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