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, MB
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(0)x(k)+A(1)a(k-1). This result is less conservative than those in existing literature.
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Advances in Dynamics, Instrumentation and Control, 2004, 41-47Publisher:
- World Scientific Publ Co Pte Ltd, Singapore
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Mašinski fakultetTY - CONF AU - Debeljković, Dragutin Lj. AU - Lazarević, Mihailo AU - Stojanović, S.B. AU - Jovanović, MB AU - Milinković, Stevan A. PY - 2004 UR - https://machinery.mas.bg.ac.rs/handle/123456789/429 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(0)x(k)+A(1)a(k-1). This result is less conservative than those in existing literature. PB - World Scientific Publ Co Pte Ltd, Singapore C3 - Advances in Dynamics, Instrumentation and Control T1 - Discrete time delayed system stability theory in the sense of Lyapunov: New results EP - 47 SP - 41 UR - https://hdl.handle.net/21.15107/rcub_machinery_429 ER -
@conference{ author = "Debeljković, Dragutin Lj. and Lazarević, Mihailo and Stojanović, S.B. and Jovanović, MB and Milinković, Stevan A.", year = "2004", 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(0)x(k)+A(1)a(k-1). This result is less conservative than those in existing literature.", publisher = "World Scientific Publ Co Pte Ltd, Singapore", journal = "Advances in Dynamics, Instrumentation and Control", title = "Discrete time delayed system stability theory in the sense of Lyapunov: New results", pages = "47-41", url = "https://hdl.handle.net/21.15107/rcub_machinery_429" }
Debeljković, D. Lj., Lazarević, M., Stojanović, S.B., Jovanović, M.,& Milinković, S. A.. (2004). Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Advances in Dynamics, Instrumentation and Control World Scientific Publ Co Pte Ltd, Singapore., 41-47. https://hdl.handle.net/21.15107/rcub_machinery_429
Debeljković DL, Lazarević M, Stojanović S, Jovanović M, Milinković SA. Discrete time delayed system stability theory in the sense of Lyapunov: New results. in Advances in Dynamics, Instrumentation and Control. 2004;:41-47. https://hdl.handle.net/21.15107/rcub_machinery_429 .
Debeljković, Dragutin Lj., Lazarević, Mihailo, Stojanović, S.B., Jovanović, MB, Milinković, Stevan A., "Discrete time delayed system stability theory in the sense of Lyapunov: New results" in Advances in Dynamics, Instrumentation and Control (2004):41-47, https://hdl.handle.net/21.15107/rcub_machinery_429 .