EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS
This paper discuses exponential dichotomy problems for a class of discrete-time systems affected by both Markovian jumps and independent random perturbations. Exponential dichotomy is a type of conditional stability which involves the decomposition of the state space of the system into stable and...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academica Brancusi
2022-05-01
|
| Series: | Fiabilitate şi Durabilitate |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/rev_mec/mecanica/pdf/2022-01/10_Viorica%20Mariela%20UNGUREANU,%20Carmen%20Iuliana%20B%C4%82RB%C4%82CIORU%20-%20%20EXPONENTIAL%20DICHOTOMY%20OF%20DISCRETE%20TIME%20LINEAR%20SYSTEMS%20WITH%20MARKOVIAN%20JUMPS%20AND%20INDEPENDENT%20RANDOM%20PERTURBATIONS.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823860550693552128 |
|---|---|
| author | Viorica Mariela UNGUREANU Carmen Iuliana BĂRBĂCIORU |
| author_facet | Viorica Mariela UNGUREANU Carmen Iuliana BĂRBĂCIORU |
| author_sort | Viorica Mariela UNGUREANU |
| collection | DOAJ |
| description | This paper discuses exponential dichotomy problems for a class of discrete-time
systems affected by both Markovian jumps and independent random perturbations. Exponential
dichotomy is a type of conditional stability which involves the decomposition of the state space of
the system into stable and unstable subspaces. By using the solution representations from [3], we
provide two necessary and sufficient conditions for the uniform exponential dichotomy of the
stochastic systems. These conditions are completely deterministic and easy to check as it is proved
by the final example, which illustrates the effectiveness of the theory |
| format | Article |
| id | doaj-art-12ffec88acdb4bfbb5eaa241d1e8d963 |
| institution | Kabale University |
| issn | 1844-640X 2344-3669 |
| language | English |
| publishDate | 2022-05-01 |
| publisher | Academica Brancusi |
| record_format | Article |
| series | Fiabilitate şi Durabilitate |
| spelling | doaj-art-12ffec88acdb4bfbb5eaa241d1e8d9632025-02-10T12:19:24ZengAcademica BrancusiFiabilitate şi Durabilitate1844-640X2344-36692022-05-011516167EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONSViorica Mariela UNGUREANU0Carmen Iuliana BĂRBĂCIORU1Constantin Brancusi University of Targu Jiu, RomaniaConstantin Brancusi University of Targu Jiu, RomaniaThis paper discuses exponential dichotomy problems for a class of discrete-time systems affected by both Markovian jumps and independent random perturbations. Exponential dichotomy is a type of conditional stability which involves the decomposition of the state space of the system into stable and unstable subspaces. By using the solution representations from [3], we provide two necessary and sufficient conditions for the uniform exponential dichotomy of the stochastic systems. These conditions are completely deterministic and easy to check as it is proved by the final example, which illustrates the effectiveness of the theoryhttps://www.utgjiu.ro/rev_mec/mecanica/pdf/2022-01/10_Viorica%20Mariela%20UNGUREANU,%20Carmen%20Iuliana%20B%C4%82RB%C4%82CIORU%20-%20%20EXPONENTIAL%20DICHOTOMY%20OF%20DISCRETE%20TIME%20LINEAR%20SYSTEMS%20WITH%20MARKOVIAN%20JUMPS%20AND%20INDEPENDENT%20RANDOM%20PERTURBATIONS.pdfdiscrete time systemsexponential dichotomymarkov jumpsindependent random perturbations. |
| spellingShingle | Viorica Mariela UNGUREANU Carmen Iuliana BĂRBĂCIORU EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS Fiabilitate şi Durabilitate discrete time systems exponential dichotomy markov jumps independent random perturbations. |
| title | EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS |
| title_full | EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS |
| title_fullStr | EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS |
| title_full_unstemmed | EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS |
| title_short | EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS |
| title_sort | exponential dichotomy of discrete time linear systems with markovian jumps and independent random perturbations |
| topic | discrete time systems exponential dichotomy markov jumps independent random perturbations. |
| url | https://www.utgjiu.ro/rev_mec/mecanica/pdf/2022-01/10_Viorica%20Mariela%20UNGUREANU,%20Carmen%20Iuliana%20B%C4%82RB%C4%82CIORU%20-%20%20EXPONENTIAL%20DICHOTOMY%20OF%20DISCRETE%20TIME%20LINEAR%20SYSTEMS%20WITH%20MARKOVIAN%20JUMPS%20AND%20INDEPENDENT%20RANDOM%20PERTURBATIONS.pdf |
| work_keys_str_mv | AT vioricamarielaungureanu exponentialdichotomyofdiscretetimelinearsystemswithmarkovianjumpsandindependentrandomperturbations AT carmeniulianabarbacioru exponentialdichotomyofdiscretetimelinearsystemswithmarkovianjumpsandindependentrandomperturbations |