Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States
Само за регистроване кориснике
2017
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper provides sufficient conditions for the finite time stability of linear time invariant discrete descriptor time delay systems, mathematically described as Ex(k+1) = A(0)x(k) + A(1)x(t-h). A novel method was used to derive new delay dependent conditions. Stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's inequality, including convolution of delayed states. The established conditions were applied to analysis of the system stability. In this case, the aggregation functional does not have to be positive in the state space domain and does not need to have the negative derivatives along the system trajectories. The system stability conditions were applicable to investigation of the finite time stability using the novel conditions proposed in this paper. This mathematical formulation guaranteed that the states of the systems do not exceed the predefined boundaries over a finite time interval.
Кључне речи:
suficient conditions / finite time stability / discrete descriptor systemsИзвор:
2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016, 2017Издавач:
- Institute of Electrical and Electronics Engineers Inc.
Финансирање / пројекти:
- Динамика хибридних система сложених структура. Механика материјала (RS-MESTD-Basic Research (BR or ON)-174001)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Buzurović, Ivan M. AU - Debeljković, Dragutin Lj. AU - Sedak, Miloš AU - Radojević, Darko PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2700 AB - This paper provides sufficient conditions for the finite time stability of linear time invariant discrete descriptor time delay systems, mathematically described as Ex(k+1) = A(0)x(k) + A(1)x(t-h). A novel method was used to derive new delay dependent conditions. Stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's inequality, including convolution of delayed states. The established conditions were applied to analysis of the system stability. In this case, the aggregation functional does not have to be positive in the state space domain and does not need to have the negative derivatives along the system trajectories. The system stability conditions were applicable to investigation of the finite time stability using the novel conditions proposed in this paper. This mathematical formulation guaranteed 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 - 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016 T1 - Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States DO - 10.1109/ICARCV.2016.7838794 ER -
@conference{ author = "Buzurović, Ivan M. and Debeljković, Dragutin Lj. and Sedak, Miloš and Radojević, Darko", year = "2017", abstract = "This paper provides sufficient conditions for the finite time stability of linear time invariant discrete descriptor time delay systems, mathematically described as Ex(k+1) = A(0)x(k) + A(1)x(t-h). A novel method was used to derive new delay dependent conditions. Stability of the system was analyzed using both the Lyapunov-like approach and the Jensen's inequality, including convolution of delayed states. The established conditions were applied to analysis of the system stability. In this case, the aggregation functional does not have to be positive in the state space domain and does not need to have the negative derivatives along the system trajectories. The system stability conditions were applicable to investigation of the finite time stability using the novel conditions proposed in this paper. This mathematical formulation guaranteed 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 = "2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016", title = "Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States", doi = "10.1109/ICARCV.2016.7838794" }
Buzurović, I. M., Debeljković, D. Lj., Sedak, M.,& Radojević, D.. (2017). Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States. in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016 Institute of Electrical and Electronics Engineers Inc... https://doi.org/10.1109/ICARCV.2016.7838794
Buzurović IM, Debeljković DL, Sedak M, Radojević D. Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States. in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016. 2017;. doi:10.1109/ICARCV.2016.7838794 .
Buzurović, Ivan M., Debeljković, Dragutin Lj., Sedak, Miloš, Radojević, Darko, "Finite-Time Stability Analysis of Descriptor Discrete Time-Delay Systems Using Discrete Convolution of Delayed States" in 2016 14th International Conference on Control, Automation, Robotics and Vision, ICARCV 2016 (2017), https://doi.org/10.1109/ICARCV.2016.7838794 . .