Discrete time delayed system stability theory in the sense of Lyapunov: New results
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Debeljković, Dragutin Lj.Lazarević, Mihailo
Stojanović, S.B.
Jovanović, M.B.
Milinković, Stevan A.
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Our aim is to improve the existing results concerning 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 linear, 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 concerning the asymptotic stability of systems described by vector state representation of the form x(k + 1) = A(o)x(k) + A(1)x(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:
time-delay / time invariant / Lyapunov / linear discrete systems / asymptotic stabilitySource:
Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms, 2005, 12, 431-443Publisher:
- Watam Press, Waterloo
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Mašinski fakultetTY - JOUR AU - Debeljković, Dragutin Lj. AU - Lazarević, Mihailo AU - Stojanović, S.B. AU - Jovanović, M.B. AU - Milinković, Stevan A. PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/508 AB - Our aim is to improve the existing results concerning 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 linear, 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 concerning the asymptotic stability of systems described by vector state representation of the form x(k + 1) = A(o)x(k) + A(1)x(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 - Watam Press, Waterloo T2 - Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms T1 - Discrete time delayed system stability theory in the sense of Lyapunov: New results EP - 443 SP - 431 VL - 12 UR - https://hdl.handle.net/21.15107/rcub_machinery_508 ER -
@article{ author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Stojanović, S.B. and Jovanović, M.B. and Milinković, Stevan A.", year = "2005", abstract = "Our aim is to improve the existing results concerning 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 linear, 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 concerning the asymptotic stability of systems described by vector state representation of the form x(k + 1) = A(o)x(k) + A(1)x(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 = "Watam Press, Waterloo", journal = "Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms", title = "Discrete time delayed system stability theory in the sense of Lyapunov: New results", pages = "443-431", volume = "12", url = "https://hdl.handle.net/21.15107/rcub_machinery_508" }
Debeljković, D. Lj., Lazarević, M., Stojanović, S.B., Jovanović, M.B.,& Milinković, S. A.. (2005). Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms Watam Press, Waterloo., 12, 431-443. https://hdl.handle.net/21.15107/rcub_machinery_508
Debeljković DL, Lazarević M, Stojanović S, Jovanović M, Milinković SA. Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms. 2005;12:431-443. https://hdl.handle.net/21.15107/rcub_machinery_508 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Stojanović, S.B., Jovanović, M.B., Milinković, Stevan A., "Discrete time delayed system stability theory in the sense of Lyapunov: New results" in Dynamics of Continuous Discrete and Impulsive Systems-Series B-Applications & Algorithms, 12 (2005):431-443, https://hdl.handle.net/21.15107/rcub_machinery_508 .