Exponential Stability of Linear Discrete Systems with Multiple Delays
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi∈N. New criterion for exponential stability is proved by...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/9703919 |
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| _version_ | 1832551636000571392 |
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| author | J. Baštinec H. Demchenko J. Diblík D. Ya. Khusainov |
| author_facet | J. Baštinec H. Demchenko J. Diblík D. Ya. Khusainov |
| author_sort | J. Baštinec |
| collection | DOAJ |
| description | The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi∈N. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed. |
| format | Article |
| id | doaj-art-d6550447300c4c6191f7ca6414f3b879 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d6550447300c4c6191f7ca6414f3b8792025-02-03T06:01:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/97039199703919Exponential Stability of Linear Discrete Systems with Multiple DelaysJ. Baštinec0H. Demchenko1J. Diblík2D. Ya. Khusainov3Brno University of Technology, CEITEC-Central European Institute of Technology, Brno, Czech RepublicBrno University of Technology, Faculty of Electrical Engineering and Communication Brno, Czech RepublicBrno University of Technology, CEITEC-Central European Institute of Technology, Brno, Czech RepublicBrno University of Technology, CEITEC-Central European Institute of Technology, Brno, Czech RepublicThe paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi∈N. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.http://dx.doi.org/10.1155/2018/9703919 |
| spellingShingle | J. Baštinec H. Demchenko J. Diblík D. Ya. Khusainov Exponential Stability of Linear Discrete Systems with Multiple Delays Discrete Dynamics in Nature and Society |
| title | Exponential Stability of Linear Discrete Systems with Multiple Delays |
| title_full | Exponential Stability of Linear Discrete Systems with Multiple Delays |
| title_fullStr | Exponential Stability of Linear Discrete Systems with Multiple Delays |
| title_full_unstemmed | Exponential Stability of Linear Discrete Systems with Multiple Delays |
| title_short | Exponential Stability of Linear Discrete Systems with Multiple Delays |
| title_sort | exponential stability of linear discrete systems with multiple delays |
| url | http://dx.doi.org/10.1155/2018/9703919 |
| work_keys_str_mv | AT jbastinec exponentialstabilityoflineardiscretesystemswithmultipledelays AT hdemchenko exponentialstabilityoflineardiscretesystemswithmultipledelays AT jdiblik exponentialstabilityoflineardiscretesystemswithmultipledelays AT dyakhusainov exponentialstabilityoflineardiscretesystemswithmultipledelays |