Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
1. Introduction........................................................................................................ 5
2. Preliminary results and assumptions.................................................................. 7
3. Approximation of the invariant measure.............................................................. 14
4. Construction of nearly optimal control functions................................................ 24
4.1. Approximation of admissible control functions.................................. 24
4.2. State space discretization...................................................................... 25
4.3. Comments on further discretizations................................................... 31
5. Nearly optimal control values................................................................................. 31
6. An example................................................................................................................ 35
References....................................................................................................... 36
1. Introduction........................................................................................................ 5
2. Preliminary results and assumptions.................................................................. 7
3. Approximation of the invariant measure.............................................................. 14
4. Construction of nearly optimal control functions................................................ 24
4.1. Approximation of admissible control functions.................................. 24
4.2. State space discretization...................................................................... 25
4.3. Comments on further discretizations................................................... 31
5. Nearly optimal control values................................................................................. 31
6. An example................................................................................................................ 35
References....................................................................................................... 36
Słowa kluczowe
Tematy
Kategoryzacja MSC:
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
341
Liczba stron
36
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCCXLI
Daty
wydano
1995
otrzymano
1993-12-28
poprawiono
1994-08-16
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland, stettner@impan.impan.gov.pl
Bibliografia
- [1] A. Arapostatis, V. S. Borkar, E. Fernandez-Gaucherand, M. K. Ghosh, and S. Marcus, Discrete-time controlled Markov processes with average cost criterion, a survey, SIAM J. Control Optim. 31 (1993), 282-344.
- [2] A. Arapostatis, E. Fernandez-Gaucherand and S. Marcus, Analysis of an adaptive partially observed controlled Markov chain, IEEE Trans. Automat. Control 38 (1993), 987-992.
- [3] D. P. Bertsekas and S. E. Schreve, Stochastic Optimal Control: The Discrete Time Case, Academic Press, New York, 1978.
- [4] P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968.
- [5] G. Di Masi and Ł. Stettner, On adaptive control of a partially observed Markov chain, Applicationes Math. 22 (1994), 165-180.
- [6] J. L. Doob, Stochastic Processes, Wiley, New York, 1953.
- [7] O. Hernandez-Lerma, Adaptive Markov Control Processes, Springer, New York, 1989.
- [8] M. Kurano, On the existence of an optimal stationary J-policy in non-discounted Markovian decision processes with incomplete state information, Bull. Math. Statist. 17 (1977), 77-81.
- [9] H. J. Kushner and P. G. Dupuis, Numerical Methods for Stochastic Control Problems in Continuous Time, Springer, 1993.
- [10] H. L. Royden, Real Analysis, MacMillan, New York, 1968.
- [11] W. Runggaldier and Ł. Stettner, Nearly optimal controls for stochastic ergodic problems with partial observation, SIAM J. Control Optim. 31 (1993), 180-218.
- [12] W. Runggaldier and Ł. Stettner, Partially observable control problems with compulsory shifts of the state, IIASA Working Paper 92-34, May 1992.
- [13] W. Runggaldier and Ł. Stettner, Approximations of Discrete Time Partially Observed Control Problems, Appl. Math. Monographs CNR, in preparation.
- [14] F. Schoen, Stochastic techniques for global optimizationg: a survey of recent advances, J. Global Optimization 1 (1991), 207-228.
- [15] Ł. Stettner, On invariant measures of filtering processes, in: Proc. 4-th Bad Honnef Conf. on Stochastic Differential Systems, Lecture Notes in Control and Inform. Sci. 126, Springer, 1989, 279-292.
- [16] Ł. Stettner, Ergodic control of partially observed Markov processes with equivalent transition probabilities, Applicationes Math. 22 (1993), 25-38.
- [17] K. Wakuta, Semi-Markov decision processes with incomplete state observation-average cost criterion, J. Oper. Res. Soc. Japan 24 (1981), 95-108.
- [18] R. Zieliński und P. Neumann, Stochastische Verfahren zur Suche nach dem Minimum einer Funktion, Akademie-Verlag, Berlin, 1983.
Języki publikacji
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Identyfikator YADDA
bwmeta1.element.zamlynska-2115dada-63ba-4253-9099-3625a3933b0b
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ISSN
0012-3862
Kolekcja
DML-PL
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