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Subspace-based identification of discrete time-delay system
Frontiers of Information Technology & Electronic Engineering, 2016We investigate the identification problems of a class of linear stochastic time-delay systems with unknown delayed states in this study. A time-delay system is expressed as a delay differential equation with a single delay in the state vector. We first derive an equivalent linear time-invariant (LTI) system for the time-delay system using a state ...
Qiang Liu, Jiachen Ma 0002
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New results on discrete-time delay systems identification
International Journal of Automation and Computing, 2012A new approach for simultaneous online identification of unknown time delay and dynamic parameters of discrete-time delay systems is proposed in this paper. The proposed algorithm involves constructing a new generalized regression vector and defining the time delay and the rational dynamic parameters in the same vector.
Saïda Bedoui +2 more
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On stabilization of discrete time nonlinear systems with time delay
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002In this paper, the problem of the stabilization of a class of discrete-time nonlinear systems with time delay is addressed. We investigate the Lyapunov approach to deduce general conditions for stabilizing the closed-loop system and derive stabilizing state feedback control laws.
Woihida Aggoune, Gauthier Sallet
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Exponential stability criteria for discrete time‐delay systems
International Journal of Robust and Nonlinear Control, 2013SummaryIn this paper, we study the exponential stability of linear discrete time‐delay systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in Hilbert spaces, in the sense that the exponential stability for a given linear equation persists under sufficiently small perturbations ...
Medina, Rigoberto, Martinez, Carlos
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DISCRETIZATION OF CONTINUOUS TIME-DELAY SYSTEMS
IFAC Proceedings Volumes, 2002Abstract Many works are related to the analysis and control of either continuous or else discrete time-delay systems. However, the discretization of continuous time-delay systems has not been extensively studied. In this work, sampled-data time-delay systems with internal and external point delays are described by approximate discrete time-delay ...
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Discretization of Time-delay Systems
2016In this chapter, the discretization of time-delay continuous systems will be presented through time-delay and nontime-delay discrete nodes. The explicit and implicit discrete maps will be discussed for numerical predictions of time-delayed continuous systems.
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Optimization of Linear Discrete-Time Systems with Random Time Delays
IEEE Transactions on Systems, Man, and Cybernetics, 1972Linear discrete-time systems containing state and control variables which are randomly delayed are studied. The original system with randomly delayed variables is transformed to another system in which independent random variables appear as plant parameters. For the reformulated system the optimal control which minimizes a quadratic cost is determined.
Antti J. Koivo, Charles L. Hendricks
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Robust Stability of Discrete Bilinear Uncertain Time-Delay Systems
Circuits, Systems, and Signal Processing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsung-Lieh Hsien, Chien-Hua Lee
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On smoothing in linear discrete systems with time delays†
International Journal of Control, 1971Abstract An algorithm is presented for optimal linear fixed-point and fixed-lag smoothing in non-stationary linear discrete systems with multiple time delays. Relations derived previously in the problem of filtering are used directly to obtain the fixed-point and fixed-lag smoothing filters.
ROLAND PRIEMER, ANDRÉ G. VACROUX
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2014
In this chapter, we consider stability, performance analysis, and control of linear (probably, uncertain) discrete-time systems. Some of the presented ideas may also be useful in the nonlinear case. Differently from continuous-time TDSs, the discrete-time ones can be reduced to non-delay systems by state/input/output augmentation.
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In this chapter, we consider stability, performance analysis, and control of linear (probably, uncertain) discrete-time systems. Some of the presented ideas may also be useful in the nonlinear case. Differently from continuous-time TDSs, the discrete-time ones can be reduced to non-delay systems by state/input/output augmentation.
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