Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems
Апстракт
In this paper, the finite-time stability for nonlinear neutral multi-term fractional order systems with time-varying input and state delays is investigated. By use of the generalized Gronwall inequality and extended form of the generalized Gronwall inequality, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results.
Кључне речи:
Time-varying delay / Neutral nonlinear system / Fractional order / Finite-time stabilityИзвор:
Filomat, 2022, 36, 5, 1775-1787Издавач:
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200105 (Универзитет у Београду, Машински факултет) (RS-MESTD-inst-2020-200105)
DOI: 10.2298/FIL2205775R
ISSN: 0354-5180
WoS: 000834761900028
Scopus: 2-s2.0-85133709132
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Radojević, Darko AU - Lazarević, Mihailo PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3731 AB - In this paper, the finite-time stability for nonlinear neutral multi-term fractional order systems with time-varying input and state delays is investigated. By use of the generalized Gronwall inequality and extended form of the generalized Gronwall inequality, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results. PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš T2 - Filomat T1 - Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems EP - 1787 IS - 5 SP - 1775 VL - 36 DO - 10.2298/FIL2205775R ER -
@article{ author = "Radojević, Darko and Lazarević, Mihailo", year = "2022", abstract = "In this paper, the finite-time stability for nonlinear neutral multi-term fractional order systems with time-varying input and state delays is investigated. By use of the generalized Gronwall inequality and extended form of the generalized Gronwall inequality, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results.", publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš", journal = "Filomat", title = "Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems", pages = "1787-1775", number = "5", volume = "36", doi = "10.2298/FIL2205775R" }
Radojević, D.,& Lazarević, M.. (2022). Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems. in Filomat Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 36(5), 1775-1787. https://doi.org/10.2298/FIL2205775R
Radojević D, Lazarević M. Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems. in Filomat. 2022;36(5):1775-1787. doi:10.2298/FIL2205775R .
Radojević, Darko, Lazarević, Mihailo, "Further Results on Finite-Time Stability of Neutral Nonlinear Multi-Term Fractional Order Time-Varying Delay Systems" in Filomat, 36, no. 5 (2022):1775-1787, https://doi.org/10.2298/FIL2205775R . .