55
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Cooperative information space distributed macromodels

Pages 725-751 | Received 05 Apr 2006, Accepted 17 Oct 2006, Published online: 08 Apr 2008

References

  • Alekseev , VM , Tichomirov , VM and Fomin , SV . 1979 . Optimal Control , Moscow : Nauka .
  • Andronov , AA , Witt , AA and Pontryagin , LS . 1933 . About statistical approach to dynamic systems . J. Exper. Tech. Phys., The USSR Academy of Sciences , 3 : 165 – 180 .
  • Biot , MA . 1970 . Variational Principles in Heat Transfer , Oxford : Oxford University Press .
  • De Groot , C and Masur , P . 1962 . Nonequilibrium Thermodynamics , Amsterdam : North-Hollan .
  • Dynkin , EB . 1960 . Theory of Markov Processes , New York : Pergamon Press .
  • Durr , D and Bach , A . 1978 . The Onsager-Machlup function as Lagrangian for the most probable path diffusion process . Commun. Math. Phys. , 59 : 153 – 170 .
  • Dyarmati , I . 1974 . Irreversible Thermodynamics. The Field Theory and Variation Principles , Moscow : Mir .
  • Eykhoff , P . 1974 . Systems Identification, Parameters and State Estimation , New York : Wiley .
  • Feynman , RP . 1965 . The Character of Physical Law , London : Cox and Wyman Ltd .
  • Feynman , RP and Hibbs , AR . 1965 . Path Integrals and Quantum Mechanics , New York : McGraw Hill .
  • Fleming , WH and Rishel , RW . 1975 . Deterministic and Stochastic Optimal Control , New York : Springer .
  • Fredlin , MI and Wentzell , AD . 1984 . Random Perturbations of Dynamic Systems , New York : Springer .
  • Gantmacher , FR . 1967 . Theory of Matrices , Moscow : Nauka .
  • Gelfand , IM and Fomin , SV . 1963 . Calculus of Variations , New York : Prentice Hall .
  • Gihman , II and Scorochod , AV . 1977 . The Controllable Random Processes , Kiev : Naukova Dumka .
  • Glansdorf , P and Prigogine , J . 1971 . Thermodynamic Theory of Structure, Stability and Fluctuations , New York : Wiley .
  • Graham , R . 1981 . “Stochastic methods in nonequilibrium thermodynamics” . In Proceeding of Workshop: Stochastic Nonlinear Systems in Physics, L. Arnold and R. Lefever, Eds , Springer : Bielefeld .
  • Kolmogorov , AN . 1965 . Three approaches to the quantitative definition of information . Problems Inform. Trans. , 1 : 1 – 7 .
  • Kolmogorov , AN . 1987 . Information Theory and Theory of Algorithms , Moscow : Nauka .
  • Lions , JL . 1971 . Optimal Control of Systems Governed by Partial Differential Equations , New York : Springer .
  • Lerner , VS . 1978 . “ Identification of the space distributed objects ” . In Dynamics of Systems: Methods and Problems of Image's Recogntion: , 63 – 72 . Gorki University Press .
  • Lerner , VS . 1989 . “Macrosystemic approach to the solution of control problems under conditions of indeterminacy” . In J. Automatika, Kiev, 5 , 43 – 51 . Scripta Technica : published in English, New York . 1988
  • Lerner , VS . 1996 . Mathematical foundation of informational macrodynamics . Systems Analysis-Modelling-Simulation , 26 : 119 – 184 .
  • Lerner , VS . 1999a . Information Systems Analysis and Modeling: An Informational Macrodynamics Approach , Boston : Kluwer-Springer .
  • Lerner , VS . 1999b . Mathematical foundation of information macrodynamics: dynamic space distributed macromodel . Systems Analysis-Modelling-Simulation , 35 : 297 – 336 .
  • Lerner , VS . 2001 . The information system macro functional and physical analogies . Systems Analysis-Modelling-Simulation , 41 : 1 – 64 .
  • Lerner , VS . 2003 . Variation Principle in Informational Macrodynamics , Boston : Kluwer-Springer .
  • Lerner , VS . 2004 . Introduction to information systems theory: concepts, formalism and applications . Int. J. Syst. Sci. , 35 : 405 – 424 .
  • Lerner , VS . 2006 . An elementary information macrodynamic model of a market economic system . Inform. Sci. , 176 : 3556 – 3590 .
  • Lerner , VS . 2007 . Dynamic approximation of a random information functional . J. Math. Anal. Appl. , 327 : 494 – 514 . (available online, 5-25-06)
  • Lerner , VS and Roychel , BZ . 1989 . “ Building the dynamic model of a random object and the solution of control problem ” . In Dynamics of Systems: Control and Optimization , 41 – 58 . Gorki University Press .
  • Ma , S . 1976 . Modern Theory of Critical Phenomena , New York : Benjamin/Cummings .
  • Mesarovic , M and Tacahara , I . 1975 . General Systems Theory: Mathematical Foundations , London : Acad. Press .
  • Muller , TG and Timmer , RI . 2004 . Parameter identification techniques for partial differential equations . Int. J. Bifurcation and Chaos , 14 : 20053 – 20060 .
  • Nicolis , G and Prigogine , I . 1977 . Self-Organization in Nonequilibrium Systems , New York : Wiley .
  • Prigogine , J and Glansdorf , P . 1965 . Variation properties and fluctuation theory . Physics , 31 : 1242 – 1249 .
  • Schechter , RS . 1967 . The Variation Method in Engineering , New York : McGraw-Hill .
  • Schilov , GE . 1956 . Introduction to the Theory of Linear Spaces , 200 – 206 . Moscow : Nauka .
  • Shannon , CE and Weaver , W . 1949 . The Mathematical Theory of Communication , Urbana : Illinois Press .
  • Wiener , N . 1948 . Cybernetics , New York : John Wiley & Sons .
  • Wlllems , T , Shatokhin , V and Buchleitner , A . 2004 . Stochastic resonance . Report on Progress in Phys. , 67 : 45 – 105 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.