On Markov chains generated by markovian controlled Markov systems: Structural stability

DOI10.1080/00207728108963786zbMath0465.93086OpenAlexW2122472064MaRDI QIDQ3917996

Masayuki Kimura, Yasuo Komota

Publication date: 1981

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728108963786

zbMATH Keywords

Markov chainsstructural stabilitystrong stabilitynon-homogeneous Markov chainultimate stabilitydiscrete stochastic systemscompact differentiable manifoldergodic stabilitydynamical systems defined on manifoldsmetric space of all Markov systemsopen-dense theorem

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic stability in control theory (93E15)

Cites Work

• Structural stability on two-dimensional manifolds
• On Markov chains generated by Markovian controlled Markov systems. I: Ergodic properties
• Topological models in Biology
• The dimension of stability of stochastic automata
• A characterization of the class of structurally stable probabilistic automata I. Discrete-time case
• Structurally Stable Systems are not Dense
• Some aspects of probabilistic automata
• Probabilistic automata
• Continuous-time probabilistic automata
• Strong stability problems for probabilistic sequential machines
• Structurally stable diffeomorphisms are dense
• Unnamed Item

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