Band Matrices, Markov Chains, and the Reliability of Engineering Systems

Band Matrices, Markov Chains, and the Reliability of Engineering Systems

Band matrices characterizing the observability and controllability of a linear MISO (multiple input, single output) system are considered. They are used to study Markov chains. Zero divisors (matrices with zero determinant) are employed here. The properties of band matrices for Markov chains are inv...

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Veröffentlicht in:Russian engineering research 2024, Vol.44 (9), p.1294-1302
Hauptverfasser: Zubov, N. E., Ryabchenko, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Engineering
Engineering Design
Markov chains
MISO (control systems)
Observability (systems)
System reliability
Transition probabilities
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Zusammenfassung:Band matrices characterizing the observability and controllability of a linear MISO (multiple input, single output) system are considered. They are used to study Markov chains. Zero divisors (matrices with zero determinant) are employed here. The properties of band matrices for Markov chains are investigated. Practical examples illustrate the analytical calculation of transition probabilities.
ISSN:1068-798X
1934-8088
DOI:10.3103/S1068798X24702277