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International Journal of Control Volume 61, 1995 - Issue 2
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Original Articles

D-stability analysis of discrete-delay perturbed systems

H. TRINH Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Victoria, 3052, Australia
&
M. ALDEEN Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Victoria, 3052, Australia
Pages 493-505 | Received 02 Nov 1993, Published online: 27 Feb 2007

Citations (19)

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Pham Huu Anh Ngoc & Toshiki Naito. (2006) 𝒟-Stability Radius of Linear Discrete Time Systems. Numerical Functional Analysis and Optimization 27:5-6, pages 667-683.
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Chen‐Huei Hsieh, Jyh‐Horng Chou & Ying‐Jeng Wu. (2000) Robust regional eigenvalue‐clustering analysis for linear perturbed discrete time‐delay systems. Journal of the Chinese Institute of Engineers 23:1, pages 125-130.
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SRIR. KOLLA. (1996) Improved stability robustness bounds for digital control systems in state-space models. International Journal of Control 64:5, pages 991-994.
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Articles from other publishers (16)

Xiaoyu Li & Yuangong Sun. (2023) D-Stability of Generalized Homogeneous Cooperative Time-Varying Systems. D-Stability of Generalized Homogeneous Cooperative Time-Varying Systems.
V.L. Wisniewski, E.T. Maddalena & R.B. Godoy. (2019) Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter. Control Engineering Practice 91, pages 104102.
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Shengyuan Xu, James Lam, Baoyong Zhang & Yun Zou. (2014) A new result on the delay-dependent stability of discrete systems with time-varying delays. International Journal of Robust and Nonlinear Control 24:16, pages 2512-2521.
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Hyung-Seok Han. (2012) Stability Bounds of Time-Varying Uncertainty and Delay Time for Discrete Systems with Time-Varying Delayed State. Journal of Institute of Control, Robotics and Systems 18:10, pages 895-901.
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Yingwei ZhangJie ShengS. Joe QinTim Hesketh. (2008) Fault Diagnosis and Isolation of Multi-Input-Multi-Output Networked Control Systems. Industrial & Engineering Chemistry Research 47:8, pages 2636-2642.
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J. H. Park. (2004) On Dynamic Output Feedback Guaranteed Cost Control of Uncertain Discrete-Delay Systems: LMI Optimization Approach. Journal of Optimization Theory and Applications 121:1, pages 147-162.
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Shinn-Horng CHEN & Jyh-Horng CHOU. (2004) Regional Eigenvalue-Clustering Robustness Analysis for Linear Discrete Time-Delay Systems with Both Structured and Unstructured Parameter Uncertainties. JSME International Journal Series C 47:2, pages 702-707.
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D.Lj. Debeljkovic, M.P. Lazarevic, S.P. Stojanovic, M.B. Jovanovic & S.A. Milinkovic. (2004) Discrete time delayed system stability theory in the sense of Lyapunov: new results. Discrete time delayed system stability theory in the sense of Lyapunov: new results.
Wang Ruliang. (2004) A design of saturated controllers for linear discrete singular systems. A design of saturated controllers for linear discrete singular systems.
Shengyuan Xu & James Lam. (2008) Robust Stability For Uncertain Discrete Singular Systems With State Delay. Asian Journal of Control 5:3, pages 399-405.
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Pham Huu Anh Ngoc & Nguyen Khoa Son. (2003) Stability radii of positive linear difference equations under affine parameter perturbations. Applied Mathematics and Computation 134:2-3, pages 577-594.
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Shengyuan Xu, J. Lam & Liqian Zhang. (2002) Robust D-stability analysis for uncertain discrete singular systems with state delay. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49:4, pages 551-555.
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Wang Ruliang & Liu Yongqing. (2000) Conditions for D-stability of discrete singular systems with time-delays. Conditions for D-stability of discrete singular systems with time-delays.
Yongru Gu, Zhengqun Cheng & Jixin Qian. (1999) D-stability criteria for linear uncertain continuous multi-delays systems. IFAC Proceedings Volumes 32:2, pages 3415-3420.
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H. Trinh & M. Aldeen. (1997) A memoryless state observer for discrete time-delay systems. IEEE Transactions on Automatic Control 42:11, pages 1572-1577.
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Wen-June Wang & Lih-Gwo Mau. (1997) Stabilization and estimation for perturbed discrete time-delay large-scale systems. IEEE Transactions on Automatic Control 42:9, pages 1277-1282.
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