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Robust Stability and Constrained Stabilization of Discrete-Time Delay Systems
IFAC Proceedings Volumes, 2012Abstract This paper revisits the problem of robust stability and stabilization of uncertain time-delay systems. We focus on the class of non-negative discrete-time delay systems and show that it is asymptotically stable if and only if an associated non-negative system without delay is asymptotically stable*.
Bahram Shafai +2 more
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A Note on Lyapunov Krasvoskii Funtional for Discrete Time Delayed Systems
2021The modern era is becoming smarter from the technology of digitalization which are used in computers and industrial developments. The basis of processing the information in above devices is in the form of discrete signal. The computational process of information transfer among different parts of system takes some time which is known as delay. Therefore,
Vipin Chandra Pal +3 more
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Robust Filtering for Discrete Time-Delay Systems
2014This chapter focuses on the design of robust H-infinity filters for discrete-time systems with polytopic uncertainty and a delay in the state. Based on a discrete-time Lyapunov-Krasovskii functional, a sufficient parameter-dependent linear matrix inequality (LMI) condition is established for the H-infinity filtering performance.
Huijun Gao, Xianwei Li
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Discrete-time optimal control of systems with unilateral time-delays
Automatica, 1987Industrial plants which contain a unilateral flow of material are considered. First, it is shown that such plants can be represented by finite-dimensional difference equations after sampling. Then, the design of discrete-time optimal control systems is studied based on the difference equations.
Toru Fujinaka, Mituhiko Araki
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Stability and Stabilization for Discrete Systems with Time-Delay
2009Recently, much attention has been given to the delay-dependent stability and stabilization of continuous systems with time-delay, see for example,[146, 139, 99, 44, 188, 53, 109, 185, 78, 198, 203]. In those papers, many kinds of Lyapunov-Krasovskii functional are proposed in order to derive less conservative stability conditions. Correspondingly, some
Yuanqing Xia, Mengyin Fu, Peng Shi
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Discrete time optimal control of linear time‐delay systems
Optimal Control Applications and Methods, 1994AbstractA discrete time optimal control for linear time‐delay systems is developed to ensure that all closed‐loop eigenvalues will lie inside a circular region centred at (β;, 0) with radius α. It is shown that by suitable manipulations the problem can be reduced to a standard discrete time quadratic regulator problem.
Lee, Tsu-Tian, Sheu, Hsing-Teng
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Necessary and sufficient conditions to stability of discrete-time delay systems
Journal of the Franklin Institute, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tao Wang 0023, Weiming Xiang 0001
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Time-delay-induced stabilization of coupled discrete-time systems
Physical Review E, 2003This paper shows that the time-delay-induced stabilization occurs in discrete-time systems on numerical simulations. The stability analysis proves that this phenomenon never occurs in the discrete-time systems that have an odd-number property. This property is well known as the weak point of the delayed feedback control of chaos.
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Leader-following consensus of discrete-time multi-AUV recovery system with time-varying delay
Ocean Engineering, 2021Jia Zeng, Zheping Yan, Shilin Wei
exaly
Periodic Averaging of Discrete-Time Systems: A Time-Delay Approach
IEEE Transactions on Automatic Control, 2022Xuefei Yang +2 more
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