Improved results on finite time stability of time delay systems: Jensen's inequality-based approach
In this study, finite-time stability of the linear continuous time-delay systems was investigated. A novel formulation of the Lyapunov-like function was used to develop a new sufficient delay-dependent condition for finite-time stability. The proposed function does not need to be positive-definite i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Savez inženjera i tehničara Srbije
2018-01-01
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| Series: | Tehnika |
| Subjects: | |
| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/0040-2176/2018/0040-21761801078D.pdf |
| _version_ | 1818906367006605312 |
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| author | Debeljković Dragutin Lj. Buzurović Ivan M. Simeunović Goran V. Radojević Darko M. |
| author_facet | Debeljković Dragutin Lj. Buzurović Ivan M. Simeunović Goran V. Radojević Darko M. |
| author_sort | Debeljković Dragutin Lj. |
| collection | DOAJ |
| description | In this study, finite-time stability of the linear continuous time-delay systems was investigated. A novel formulation of the Lyapunov-like function was used to develop a new sufficient delay-dependent condition for finite-time stability. The proposed function does not need to be positive-definite in the whole state space, and it does not need to have negative derivatives along the system trajectories. The proposed method was compared with the previously developed and reported methodologies. It was concluded that the stability investigation using the novel condition for stability investigation was less complicated for numerical calculations. Furthermore, it gives results in comparison with the ones obtained with other analyzed conditions, and it provides superior results for these class of systems. |
| first_indexed | 2024-12-19T21:38:06Z |
| format | Article |
| id | doaj.art-783e5dfdbd02476aa841b7314a1cc33a |
| institution | Directory Open Access Journal |
| issn | 0040-2176 2560-3086 |
| language | English |
| last_indexed | 2024-12-19T21:38:06Z |
| publishDate | 2018-01-01 |
| publisher | Savez inženjera i tehničara Srbije |
| record_format | Article |
| series | Tehnika |
| spelling | doaj.art-783e5dfdbd02476aa841b7314a1cc33a2022-12-21T20:04:44ZengSavez inženjera i tehničara SrbijeTehnika0040-21762560-30862018-01-0173178860040-21761801078DImproved results on finite time stability of time delay systems: Jensen's inequality-based approachDebeljković Dragutin Lj.0Buzurović Ivan M.1Simeunović Goran V.2Radojević Darko M.3Megatrend University, Faculty of Civil Aviation, BelgradeMedical Physics and Biophysics Division, Harvard Medical School Boston, MA, USAFaculty of Mechanical Engineering, Innovation Centre, BelgradeFaculty of Mechanical Engineering, BelgradeIn this study, finite-time stability of the linear continuous time-delay systems was investigated. A novel formulation of the Lyapunov-like function was used to develop a new sufficient delay-dependent condition for finite-time stability. The proposed function does not need to be positive-definite in the whole state space, and it does not need to have negative derivatives along the system trajectories. The proposed method was compared with the previously developed and reported methodologies. It was concluded that the stability investigation using the novel condition for stability investigation was less complicated for numerical calculations. Furthermore, it gives results in comparison with the ones obtained with other analyzed conditions, and it provides superior results for these class of systems.https://scindeks-clanci.ceon.rs/data/pdf/0040-2176/2018/0040-21761801078D.pdfcontinuous time-delay systemsfinite time stabilityalgebraic inequalities |
| spellingShingle | Debeljković Dragutin Lj. Buzurović Ivan M. Simeunović Goran V. Radojević Darko M. Improved results on finite time stability of time delay systems: Jensen's inequality-based approach Tehnika continuous time-delay systems finite time stability algebraic inequalities |
| title | Improved results on finite time stability of time delay systems: Jensen's inequality-based approach |
| title_full | Improved results on finite time stability of time delay systems: Jensen's inequality-based approach |
| title_fullStr | Improved results on finite time stability of time delay systems: Jensen's inequality-based approach |
| title_full_unstemmed | Improved results on finite time stability of time delay systems: Jensen's inequality-based approach |
| title_short | Improved results on finite time stability of time delay systems: Jensen's inequality-based approach |
| title_sort | improved results on finite time stability of time delay systems jensen s inequality based approach |
| topic | continuous time-delay systems finite time stability algebraic inequalities |
| url | https://scindeks-clanci.ceon.rs/data/pdf/0040-2176/2018/0040-21761801078D.pdf |
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