Controllability, Observability and Spectral Post-Construction of the Value Theory

[1]  Lefteris Tsoulfidis,et al.  BIENENFELD'S APPROXIMATION OF PRODUCTION PRICES AND EIGENVALUE DISTRIBUTION: FURTHER EVIDENCE FROM FIVE EUROPEAN ECONOMIES* , 2014 .

[2]  Nobuo Okisio.  A Mathematical Note on Marxian Theorems , 1963 .

[3]  G. Styan,et al.  Circuit Duality and the General Network Inverse , 1965 .

[4]  R. Kálmán.  Mathematical description of linear dynamical systems , 1963 .

[5]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[6]  T. Miyao.  A Generalization of Sraffa's Standard Commodity and Its Complete Characterization , 1977 .

[7]  Sean Holly,et al.  Optimal Control, Expectations and Uncertainty , 1989 .

[8]  H. Kurz.  Against the current: Sraffa's unpublished manuscripts and the history of economic thought , 1998 .

[9]  Pavol Brunovský,et al.  A classification of linear controllable systems , 1970, Kybernetika.

[10]  E. Böhm-Bawerk.  Capital and interest , 1890 .

[11]  F. Fairman.  Introduction to dynamic systems: Theory, models and applications , 1979, Proceedings of the IEEE.

[12]  N. Salvadori,et al.  Theory of production: References , 1995 .

[13]  R. E. Kalman,et al.  Lectures on Controllability and Observability , 2010 .

[14]  V. Popov.  Some properties of the control systems with irreducible matrix — Transfer functions , 1970 .

[15]  L. Pasinetti.  Paradoxes in Capital Theory: A Symposium: Changes in the Rate of Profit and Switches of Techniques , 1966 .

[16]  Hans-Werner Wohltmann,et al.  On the controllability of continuous-time macroeconomic models , 1985 .

[17]  Aihui Zhou,et al.  Characteristic polynomials of some perturbed matrices , 2008, Appl. Math. Comput..

[18]  Lefteris Tsoulfidis,et al.  ON BRÓDY'S CONJECTURE: THEORY, FACTS AND FIGURES ABOUT INSTABILITY OF THE US ECONOMY , 2014 .

[19]  Theodore Mariolis.  Norm Bounds and a Homographic Approximation for the Wage–Profit Curve , 2015 .

[20]  R. Leeson.  A. W. H. Phillips: Collected Works in Contemporary Perspective: A. W. H. Phillips: An extraordinary life , 2011 .

[21]  Panos J. Antsaklis,et al.  Linear Systems , 1997 .

[22]  C. Paige.  Properties of numerical algorithms related to computing controllability , 1981 .

[23]  G. Harcourt,et al.  Some Cambridge Controversies in the Theory of Capital. , 1973 .

[24]  Oskar R. Lange.  Introduction to economic cybernetics , 1971 .

[25]  The First Two Eigenvalues of Large Random Matrices and Brody's Hypothesis on the Stability of Large Input–Output Systems , 2008 .

[26]  Bernard Friedland,et al.  Controllability Index Based on Conditioning Number , 1975 .

[27]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[28]  G. Basile,et al.  Controllability of Linear Dynamic Systems , 1971 .

[29]  Robert M. Solow,et al.  COMPETITIVE VALUATION IN A DYNAMIC INPUT-OUTPUT SYSTEM1 , 1959 .

[30]  R. E. Kalman,et al.  On the general theory of control systems , 1959 .

[31]  Daniel McFadden,et al.  On the Controllability of Decentralized Macroeconomic Systems: The Assignment Problem , 1969 .

[32]  R. E. Kalman,et al.  Contributions to the Theory of Optimal Control , 1960 .

[33]  Aihui Zhou,et al.  Eigenvalues of rank-one updated matrices with some applications , 2007, Appl. Math. Lett..

[34]  Thomas Kailath,et al.  Linear Systems , 1980 .

[35]  R. Kahn,et al.  The Relation of Home Investment to Unemployment , 1931 .

[36]  J. Eatwell.  ‘COST OF PRODUCTION’ AND THE THEORY OF THE RATE OF PROFIT , 2019, Contributions to Political Economy.

[37]  R. Brockett.  Poles, zeros, and feedback: State space interpretation , 1965 .

[38]  R. E. Kalman,et al.  New Developments in Systems Theory Relevant to Biology , 1968 .

[39]  C. D. Johnson.  lnvariant hyperplanes for linear dynamical systems , 1966 .

[40]  L. Mainwaring.  A Neo-Ricardian Analysis of International Trade , 1974 .

[41]  Hans-Werner Wohltmann.  Complete, perfect, and maximal controllability of discrete economic systems , 1981 .

[42]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[43]  Noah J. Cowan,et al.  Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks , 2011, PloS one.

[44]  L. Spaventa.  Rate of Profit, Rate of Growth, and Capital Intensity in a Simple Production Model , 1970 .

[45]  G. Harcourt.  Capital and growth , 1971 .

[46]  J. Clotet,et al.  Estimating distances from quadruples satisfying stability properties to quadruples not satisfying them , 2001 .

[47]  Daniel Boley,et al.  Quasi-Kalman Decomposition and its Relation to State Feedback , 1984, 1984 American Control Conference.

[48]  A. Gilbert.  Marx After Sraffa , 1977 .

[49]  W. Wonham.  On pole assignment in multi-input controllable linear systems , 1967 .

[50]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[51]  P. Sraffa.  Production of Commodities by Means of Commodities: Prelude to a Critique of Economic Theory , 1960 .

[52]  B. Schefold.  Piero Sraffas Theorie der Kuppelproduktion, des Kapitals und der Rente : Mr. Sraffa on Joint Production , 1971 .

[53]  C. D. Johnson,et al.  Invariant Subspaces and the Controllability and Observability of Linear Dynamical Systems , 1968 .

[54]  Lefteris Tsoulfidis,et al.  Decomposing the Changes in Production Prices into “Capital-Intensity” and “Price” Effects: Theory and Evidence from the Chinese Economy , 2009 .

[55]  Wilfried Parys.  The Deviation of Prices from Labor Values , 1982 .

[56]  L. A. Zadeh,et al.  The analysis of sampled-data systems , 1952, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[57]  P. Sraffa.  Production of Commodities: A Comment , 1962 .

[58]  Helmut Willke.  Systemtheorie : Eine Einführung in die Grundprobleme der Theorie sozialer Systeme , 1993 .

[59]  S. Rinaldi,et al.  Positive Linear Systems: Theory and Applications , 2000 .

[60]  Urs Lindner.  Karl Marx: Das Kapital. Kritik der politischen Oekonomie. Erster Band. Buch I: Der Produktionsprocess des Kapitals, Verlag Otto Meissner: Hamburg 1867, 784 S. (Im Folgenden zitiert nach der vierten, von Engels bearbeiteten Ausgabe in: MEW, Bd. 23, Berlin/Ost 1986) , 2016 .

[61]  Carl D. Meyer,et al.  On the structure of stochastic matrices with a subdominant eigenvalue near 1 , 1998 .

[62]  Michael A. Arbib,et al.  Topics in Mathematical System Theory , 1969 .

[63]  R E Kalman,et al.  CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS. , 1962, Proceedings of the National Academy of Sciences of the United States of America.

[64]  B. Schefold.  The transformation of values into prices on the basis of random systems revisited , 2019, Evolutionary and Institutional Economics Review.

[65]  Rob Dekkers,et al.  Applied Systems Theory , 2014 .

[66]  Y. Aruka.  Possibility Theorems on Reswitching of Techniques and the Related Issues of Price Variations , 2011 .

[67]  Lefteris Tsoulfidis,et al.  Eigenvalue Distribution and the Production Price-Profit Rate Relationship: Theory and Empirical Evidence , 2011 .

[68]  Jean-Jacques E. Slotine,et al.  On Contraction Analysis for Non-linear Systems , 1998, Autom..

[69]  ON SOME ILLUSORY INSTANCES OF >1 , 1984 .

[70]  B. Moore.  Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[71]  B. Datta.  Numerical methods for linear control systems : design and analysis , 2004 .

[72]  M.L.J. Hautus,et al.  Controllability and observability conditions of linear autonomous systems , 1969 .

[73]  P. Samuelson.  Parable and Realism in Capital Theory: The Surrogate Production Function , 1962 .

[74]  N. Salvadori,et al.  Critical Essays on Piero Sraffa's Legacy in Economics: On the probability of re-switching and capital reversing in a two-sector Sraffian model , 2000 .

[75]  A. Brauer.  Limits for the characteristic roots of a matrix. IV: Applications to stochastic matrices , 1952 .

[76]  G. Harcourt.  Some Cambridge controversies in the theory of capital: Frontmatter , 1972 .

[77]  Theodore Mariolis.  Controllability, Observability, Regularity, and the so- called Problem of Transforming Values into Prices of Pro- duction * , 2003 .

[78]  How Macroeconomists Lost Control of Stabilization Policy: Towards Dark Ages , 2020 .

[79]  Béla Martos.  Economic Control Structures: A Non-Walrasian Approach , 1990 .

[80]  Hans G. Ehrbar,et al.  RELATIVE PRICES IN THE CLASSICAL THEORY: FACTS AND FIGURES , 2007 .

[81]  Willem L. De Koning,et al.  Linear systems theory revisited , 2008, Autom..

[82]  N. Salvadori,et al.  COST FUNCTIONS AND PRODUCED MEANS OF PRODUCTION: DUALITY AND CAPITAL THEORY , 1985 .

[83]  Theodore Mariolis,et al.  Testing Böhm-Bawerk’s theory of capital: Some evidence from the Finnish economy , 2013 .

[84]  R. E. Kalman,et al.  On the Computation of the Reachable/Observable Canonical Form , 1982 .

[85]  Paul Bourgine,et al.  Autopoiesis and Cognition , 2004, Artificial Life.

[86]  Robert M. Solow,et al.  On the Structure of Linear Models , 1952 .

[87]  Edward A. Feigenbaum.  Soviet cybernetics and computer sciences, 1960 , 1961, CACM.

[88]  P. Garegnani,et al.  Heterogeneous Capital, the Production Function and the Theory of Distribution , 1970 .

[89]  S. Turnovsky.  Stabilization Theory and Policy: 50 Years after the Phillips Curve , 2009 .

[90]  E. Gilbert.  Controllability and Observability in Multivariable Control Systems , 1963 .

[91]  Joan V. Robinson.  The Production Function and the Theory of Capital , 1953 .

[92]  Kenneth J. Arrow.  Book Review:Studies in the Structure of the American Economy. Wassily Leontief , 1953 .

[93]  Daniel Boley,et al.  Measuring how far a controllable system is from an uncontrollable one , 1986, IEEE Transactions on Automatic Control.

[94]  Theodore Mariolis.  Applying the mean absolute eigen-deviation of labour commanded prices from labour values to actual economies , 2013 .

[95]  D. A. Livesey,et al.  Optimal Control and System Theory in Dynamic Economic Analysis. , 1977 .

[96]  Richard F. Hartl,et al.  Optimal Control, Expectations and Uncertainty. , 1991 .

[97]  P. Samuelson,et al.  Protection and Real Wages , 1941 .

[98]  Michael Neumann,et al.  Distribution of Subdominant Eigenvalues of Random Matrices , 2000 .

[99]  Theodore Mariolis.  Competing Theories of Value: A Spectral Analysis , 2021 .

[100]  H. Hagemann,et al.  THE RETURN OF THE SAME TRUNCATION PERIOD AND RESWITCHING OF TECHNIQUES IN NEO‐AUSTRIAN AND MORE GENERAL MODELS , 1976 .

[101]  András Bródy.  The Second Eigenvalue of the Leontief Matrix , 1997 .

[102]  Oscar Rojo,et al.  Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem , 2006 .

[103]  E. Burmeister.  Synthesizing the neo-Austrian and alternative approaches to capital theory: a survey , 1974 .

[104]  V. Belevitch,et al.  Classical network theory , 1968 .

[105]  Luigi Lodovico Pasinetti,et al.  THE NOTION OF VERTICAL INTEGRATION IN ECONOMIC ANALYSIS ( , 1973 .