Asymptotic System Analysis and Goal Functions
作者： G. Palm
DOI: 10.1007/978-3-642-93083-6_3
关键词: Asymptotic analysis 、 Heuristic 、 Dynamical systems theory 、 Discrete time and continuous time 、 Asymptotology 、 Mathematical optimization 、 Computer science 、 State space 、 Markov process 、 Invariant measure
摘要: The aim of this paper is to provide a tool for an analysis the asymptotic behaviour (in shorts analysis) dynamical systems. I shall use discrete time,state space description system (cf. section 1). Let us assume that some properties particular are expected on heuristic grounds — situation may arise in two different ways: 1) The has been observed thoroughly long time, 2) The designed achieve certain goal asymptotically.
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F. Schlögl, On stability of steady states European Physical Journal A. ,vol. 243, pp. 303- 310 ,(1971) , 10.1007/BF01395916
Leo Francis Boron, Konstantin Sergeevich Sibirskiĭ, Introduction to Topological Dynamics ,(2011)
J. F. C. Kingman, S. R. Foguel, T. Hida, The Ergodic Theory of Markov Processes The Mathematical Gazette. ,vol. 55, pp. 479- ,(1971) , 10.2307/3612442
Wolfgang Hahn, Stability of Motion ,(1967)
Helmut H. Schaefer, Banach Lattices and Positive Operators ,(1975)
F. Schlögl, Fluctuations in thermodynamic non equilibrium states European Physical Journal A. ,vol. 244, pp. 199- 205 ,(1971) , 10.1007/BF01395565
P. Glansdorff, I. Prigogine, On a general evolution criterion in macroscopic physics Physica. ,vol. 30, pp. 351- 374 ,(1964) , 10.1016/0031-8914(64)90009-6
P. Glansdorff, I. Prigogine, Non-equilibrium stability theory Physica D: Nonlinear Phenomena. ,vol. 46, pp. 344- 366 ,(1970) , 10.1016/0031-8914(70)90010-8
E. Pfaffelhuber, Learning and information theory. International Journal of Neuroscience. ,vol. 3, pp. 83- 88 ,(1972) , 10.3109/00207457209147016
D. Marr, G. Palm, T. Poggio, Analysis of a cooperative stereo algorithm Biological Cybernetics. ,vol. 28, pp. 223- 239 ,(1978) , 10.1007/BF00344269