Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results
Authorized Users Only
2004
Authors
Debeljković, DragutinLazarević, Mihailo
Stojanović, Sreten
Jovanović, Mića
Milinković, Stevan
Conference object (Published version)
Metadata
Show full item recordAbstract
Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by vector state representation of the form x(k+1)=Ao(k)+A1x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.
Keywords:
discrete time delay systems / Lyapunov stability / stability criteriaSource:
Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan, 2004, 511-516Publisher:
- IEEE Control Systems Society
- Taiwan: National Taiwan University
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Debeljković, Dragutin AU - Lazarević, Mihailo AU - Stojanović, Sreten AU - Jovanović, Mića AU - Milinković, Stevan PY - 2004 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5457 AB - Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by vector state representation of the form x(k+1)=Ao(k)+A1x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported. PB - IEEE Control Systems Society PB - Taiwan: National Taiwan University C3 - Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan T1 - Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results EP - 516 SP - 511 UR - https://hdl.handle.net/21.15107/rcub_machinery_5457 ER -
@conference{ author = "Debeljković, Dragutin and Lazarević, Mihailo and Stojanović, Sreten and Jovanović, Mića and Milinković, Stevan", year = "2004", abstract = "Our aim is to improve the existing results conceming asymptotic stability of a particular class of linear discrete time delay systems. This paper extends one of the basic results in the area of Lyapunov (asymptotic) to hear, discrete, time invariant time delay systems. This result is given in the form of only sufficient conditions and represent further improvement of the existing results conceming the asymptotic stability of systems described by vector state representation of the form x(k+1)=Ao(k)+A1x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such result have not yet been reported.", publisher = "IEEE Control Systems Society, Taiwan: National Taiwan University", journal = "Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan", title = "Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results", pages = "516-511", url = "https://hdl.handle.net/21.15107/rcub_machinery_5457" }
Debeljković, D., Lazarević, M., Stojanović, S., Jovanović, M.,& Milinković, S.. (2004). Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan IEEE Control Systems Society., 511-516. https://hdl.handle.net/21.15107/rcub_machinery_5457
Debeljković D, Lazarević M, Stojanović S, Jovanović M, Milinković S. Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results. in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan. 2004;:511-516. https://hdl.handle.net/21.15107/rcub_machinery_5457 .
Debeljković, Dragutin, Lazarević, Mihailo, Stojanović, Sreten, Jovanović, Mića, Milinković, Stevan, "Discrete Time Delayed System Stability Theory in the sense of Lyapunov: New Results" in Proceedings of the 2004 IEEE International Symposium on Intelligent Control September 2-4,2004, The Grand Hotel, Taipei, Taiwan (2004):511-516, https://hdl.handle.net/21.15107/rcub_machinery_5457 .