Further Results on Finite-time Stability of Continuous Singular Time Delay Systems
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2018
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This paper provides novel additional sufficient conditions for finite-time stability of the linear continuous singular time delay systems. A novel method was used to derive new delay dependent conditions. The stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's and Coppel's inequality, including the convolution of delayed states. The derived conditions were applied in the system stability analysis. As a result of these, the aggregation functional did not have to be positive in the state space domain and did not need to have the negative derivatives along the system trajectories. Finite-time stability was analyzed using the novel conditions derived in this paper, which guarantees that the states of the systems do not exceed the predefined boundaries over a finite-time interval.
Ključne reči:
time delay / singular systems / finite-time stability / continuous systemsIzvor:
Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, 2018, 2018-February, 1540-1545Izdavač:
- Institute of Electrical and Electronics Engineers Inc.
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Mašinski fakultetTY - CONF AU - Buzurović, Ivan M. AU - Debeljković, Dragutin Lj. AU - Sedak, Miloš AU - Radojević, Darko PY - 2018 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2986 AB - This paper provides novel additional sufficient conditions for finite-time stability of the linear continuous singular time delay systems. A novel method was used to derive new delay dependent conditions. The stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's and Coppel's inequality, including the convolution of delayed states. The derived conditions were applied in the system stability analysis. As a result of these, the aggregation functional did not have to be positive in the state space domain and did not need to have the negative derivatives along the system trajectories. Finite-time stability was analyzed using the novel conditions derived in this paper, which guarantees that the states of the systems do not exceed the predefined boundaries over a finite-time interval. PB - Institute of Electrical and Electronics Engineers Inc. C3 - Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 T1 - Further Results on Finite-time Stability of Continuous Singular Time Delay Systems EP - 1545 SP - 1540 VL - 2018-February DO - 10.1109/ICIEA.2017.8283083 ER -
@conference{ author = "Buzurović, Ivan M. and Debeljković, Dragutin Lj. and Sedak, Miloš and Radojević, Darko", year = "2018", abstract = "This paper provides novel additional sufficient conditions for finite-time stability of the linear continuous singular time delay systems. A novel method was used to derive new delay dependent conditions. The stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's and Coppel's inequality, including the convolution of delayed states. The derived conditions were applied in the system stability analysis. As a result of these, the aggregation functional did not have to be positive in the state space domain and did not need to have the negative derivatives along the system trajectories. Finite-time stability was analyzed using the novel conditions derived in this paper, which guarantees that the states of the systems do not exceed the predefined boundaries over a finite-time interval.", publisher = "Institute of Electrical and Electronics Engineers Inc.", journal = "Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017", title = "Further Results on Finite-time Stability of Continuous Singular Time Delay Systems", pages = "1545-1540", volume = "2018-February", doi = "10.1109/ICIEA.2017.8283083" }
Buzurović, I. M., Debeljković, D. Lj., Sedak, M.,& Radojević, D.. (2018). Further Results on Finite-time Stability of Continuous Singular Time Delay Systems. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 Institute of Electrical and Electronics Engineers Inc.., 2018-February, 1540-1545. https://doi.org/10.1109/ICIEA.2017.8283083
Buzurović IM, Debeljković DL, Sedak M, Radojević D. Further Results on Finite-time Stability of Continuous Singular Time Delay Systems. in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017. 2018;2018-February:1540-1545. doi:10.1109/ICIEA.2017.8283083 .
Buzurović, Ivan M., Debeljković, Dragutin Lj., Sedak, Miloš, Radojević, Darko, "Further Results on Finite-time Stability of Continuous Singular Time Delay Systems" in Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017, 2018-February (2018):1540-1545, https://doi.org/10.1109/ICIEA.2017.8283083 . .