On practical stability of time delayed systems: delay independent and delay dependent criteria
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2012
Authors
Debeljković, DragutinStojanovic, Sreten
Lazarević, Mihailo
Nestorović, Tamara
Simeunović, Goran
Conference object (Published version)
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Show full item recordAbstract
The article provides sufficient conditions for both practical and finite time stability of
linear continuous time delay systems described as dx/dt=A0x(t)+A1 x(t-tau) . Considering a finite
time stability concept, the new delay independent conditions have been derived using the
approach based on the Lyapunov–like functions. These functions do not need to have the
properties of positivity in the whole state space and negative derivatives along the system
trajectories. When the practical stability has been analyzed the above mentioned approach was
combined and supported by the classical Lyapunov technique to guarantee the attractivity
property of the system behavior.
Keywords:
Time delayed systems / Practical stability / Sufficient conditions / Lyapunov like functionsSource:
Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina, 2012, 1-8Publisher:
- Argentine: Argentine Association of Automatic Control ( Asociacion Argentino de Control Automático)
Funding / projects:
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
Note:
- https://aadeca.org/
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Institution/Community
Mašinski fakultetTY - CONF AU - Debeljković, Dragutin AU - Stojanovic, Sreten AU - Lazarević, Mihailo AU - Nestorović, Tamara AU - Simeunović, Goran PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4669 AB - The article provides sufficient conditions for both practical and finite time stability of linear continuous time delay systems described as dx/dt=A0x(t)+A1 x(t-tau) . Considering a finite time stability concept, the new delay independent conditions have been derived using the approach based on the Lyapunov–like functions. These functions do not need to have the properties of positivity in the whole state space and negative derivatives along the system trajectories. When the practical stability has been analyzed the above mentioned approach was combined and supported by the classical Lyapunov technique to guarantee the attractivity property of the system behavior. PB - Argentine: Argentine Association of Automatic Control ( Asociacion Argentino de Control Automático) C3 - Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina T1 - On practical stability of time delayed systems: delay independent and delay dependent criteria EP - 8 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4669 ER -
@conference{ author = "Debeljković, Dragutin and Stojanovic, Sreten and Lazarević, Mihailo and Nestorović, Tamara and Simeunović, Goran", year = "2012", abstract = "The article provides sufficient conditions for both practical and finite time stability of linear continuous time delay systems described as dx/dt=A0x(t)+A1 x(t-tau) . Considering a finite time stability concept, the new delay independent conditions have been derived using the approach based on the Lyapunov–like functions. These functions do not need to have the properties of positivity in the whole state space and negative derivatives along the system trajectories. When the practical stability has been analyzed the above mentioned approach was combined and supported by the classical Lyapunov technique to guarantee the attractivity property of the system behavior.", publisher = "Argentine: Argentine Association of Automatic Control ( Asociacion Argentino de Control Automático)", journal = "Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina", title = "On practical stability of time delayed systems: delay independent and delay dependent criteria", pages = "8-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4669" }
Debeljković, D., Stojanovic, S., Lazarević, M., Nestorović, T.,& Simeunović, G.. (2012). On practical stability of time delayed systems: delay independent and delay dependent criteria. in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina Argentine: Argentine Association of Automatic Control ( Asociacion Argentino de Control Automático)., 1-8. https://hdl.handle.net/21.15107/rcub_machinery_4669
Debeljković D, Stojanovic S, Lazarević M, Nestorović T, Simeunović G. On practical stability of time delayed systems: delay independent and delay dependent criteria. in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina. 2012;:1-8. https://hdl.handle.net/21.15107/rcub_machinery_4669 .
Debeljković, Dragutin, Stojanovic, Sreten, Lazarević, Mihailo, Nestorović, Tamara, Simeunović, Goran, "On practical stability of time delayed systems: delay independent and delay dependent criteria" in Proceedings of the AADECA 2012 – Semana del Control Automático –23º Congreso Argentino de Control Automático 3 al 5 de Octubre de 2012 – Buenos Aires, Argentina 2012, Argentina (2012):1-8, https://hdl.handle.net/21.15107/rcub_machinery_4669 .