New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay
The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovs...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/480816 |
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| _version_ | 1850166971067269120 |
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| author | Sreten B. Stojanovic |
| author_facet | Sreten B. Stojanovic |
| author_sort | Sreten B. Stojanovic |
| collection | DOAJ |
| description | The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature. |
| format | Article |
| id | doaj-art-e4c8a145c0f64acc8501cacb01186966 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e4c8a145c0f64acc8501cacb011869662025-08-20T02:21:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/480816480816New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying DelaySreten B. Stojanovic0Department of Engineering Sciences and Mathematics, Faculty of Technology, University of Niš, Bulevar Oslobodjenja 124, 16000 Leskovac, SerbiaThe problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature.http://dx.doi.org/10.1155/2015/480816 |
| spellingShingle | Sreten B. Stojanovic New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay Discrete Dynamics in Nature and Society |
| title | New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay |
| title_full | New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay |
| title_fullStr | New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay |
| title_full_unstemmed | New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay |
| title_short | New Results for Finite-Time Stability of Discrete-Time Linear Systems with Interval Time-Varying Delay |
| title_sort | new results for finite time stability of discrete time linear systems with interval time varying delay |
| url | http://dx.doi.org/10.1155/2015/480816 |
| work_keys_str_mv | AT sretenbstojanovic newresultsforfinitetimestabilityofdiscretetimelinearsystemswithintervaltimevaryingdelay |