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Original Articles

Sufficient condition for the asymptotic stability of interval matrices

Pages 1803-1810 | Received 09 Sep 1986, Published online: 25 Jun 2007

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Hung‐Yuan Chung & Goang‐Yau Shyu. (1996) Pole assignment of a family of matrices in a specified region. Journal of the Chinese Institute of Engineers 19:1, pages 93-99.
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XIAO-JUN ZENG. (1995) Robust stability for linear discrete-time systems with structured perturbations. International Journal of Control 61:3, pages 739-748.
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HYUNG SEOK HAN & JANG GYU LEE. (1994) Necessary and sufficient conditions for stability of time-varying discrete interval matrices. International Journal of Control 59:4, pages 1021-1029.
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YUGUANG FANG, KENNETHA. LOPARO & XIANGBO FENG. (1993) Sufficient conditions for the stability of interval matrices. International Journal of Control 58:4, pages 969-977.
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C. B. SOH. (1991) Stability robustness measures of state-space models. International Journal of Systems Science 22:10, pages 1867-1884.
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C. B. SOH. (1991) Stability margins of continuous time interval systems. International Journal of Systems Science 22:6, pages 1113-1119.
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M. MANSOUR. (1989) Simplified sufficient conditions for the asymptotic stability of interval matrices. International Journal of Control 50:1, pages 443-444.
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C. B. Soh. (1989) Comments on ‘Sufficient condition for the asymptotic stability of interval matrices’. International Journal of Control 49:5, pages 1817-1817.
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Chung-Li Jiang. (1989) Correspondence. International Journal of Control 49:4, pages 1439-1439.
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Z. H. Luo. (1988) Comments on ‘Sufficient condition for the asymptotic stability of interval matrices’. International Journal of Control 47:6, pages 1977-1977.
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E. H. ABED & A. L. TITS. (1988) Comment on ‘Sufficient condition for the asymptotic stability of interval matrices’. International Journal of Control 47:6, pages 1975-1975.
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M. MANSOUR. (1988) Sufficient conditions for the asymptotic stability of interval matrices. International Journal of Control 47:6, pages 1973-1974.
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Rama K. YedavalliRama K. Yedavalli. 2014. Robust Control of Uncertain Dynamic Systems. Robust Control of Uncertain Dynamic Systems 13 73 .
Caibin Zeng, YangQuan Chen & Qigui Yang. (2012) Robust controllability of interval fractional order linear time invariant stochastic systems. Robust controllability of interval fractional order linear time invariant stochastic systems.
G LEENA & G RAY. (2012) A set of decentralized PID controllers for an n – link robot manipulator. Sadhana 37:3, pages 405-423.
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Hyo-Sung Ahn, Young-Soo Kim & YangQuan Chen. (2012) An interval Kalman filtering with minimal conservatism. Applied Mathematics and Computation 218:18, pages 9563-9570.
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Mau-Hsiang Shih & Chin-Tzong Pang. (2008) Simultaneous Schur stability of interval matrices. Automatica 44:10, pages 2621-2627.
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Wei Zhu. (2008) A Sufficient Condition for Asymptotic Stability of Discrete-Time Interval System with Delay. Discrete Dynamics in Nature and Society 2008, pages 1-7.
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Hyo-Sung Ahn & YangQuan Chen. (2007) Exact Maximum Singular Value Calculation of an Interval Matrix. IEEE Transactions on Automatic Control 52:3, pages 510-514.
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Hyo-sung Ahn, Yangquan Chen & Kevin Moore. (2006) Maximum singular value and power of an interval matrix. Maximum singular value and power of an interval matrix.
Hyo-sung Ahn, Yangquan Chen & Kevin Moore. (2006) A robust Schur stability condition for interval polynomial matrix systems. A robust Schur stability condition for interval polynomial matrix systems.
YangQuan Chen, Hyo-Sung Ahn & Dingyü Xue. (2006) Robust controllability of interval fractional order linear time invariant systems. Signal Processing 86:10, pages 2794-2802.
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Hyo-Sung Ahn, Kevin L. Moore & YangQuan Chen. (2005) STABILITY ANALYSIS OF ITERATIVE LEARNING CONTROL SYSTEM WITH INTERVAL UNCERTAINTY. IFAC Proceedings Volumes 38:1, pages 282-287.
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S.B. Stojanovic & D.L.J. Debeljkovic. (2005) The Sufficient Conditions for Stability of Continuous and Discrete Large-Scale Time-Delay Interval Systems. The Sufficient Conditions for Stability of Continuous and Discrete Large-Scale Time-Delay Interval Systems.
Hyo-Sung Ahn, K.L. Moore & YangQuan Chen. (2005) Linear Independency of Interval Vectors and Its Applications to Robust Controllability Tests. Linear Independency of Interval Vectors and Its Applications to Robust Controllability Tests.
Pin-Lin Liu & Wen-Jye Shyr. (2005) Another sufficient condition for the stability of grey discrete-time systems. Journal of the Franklin Institute 342:1, pages 15-23.
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Chien-Hua Lee & Tsung-Lieh Hsien. (1997) New sufficient conditions for the stability of continuous and discrete time-delay interval systems. Journal of the Franklin Institute 334:2, pages 233-240.
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K. Wang & A.N. Michel. (1996) On the stability of a family of nonlinear time-varying systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 43:7, pages 517-531.
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Wei-Jie Mao & You-Xian Sun. (1996) Criteria for robust stability of dynamic interval systems. Criteria for robust stability of dynamic interval systems.
Yuguang Fang, Kenneth A. Loparo & Xiangbo Feng. (1994) A sufficient condition for stability of a polytope of matrices. Systems & Control Letters 23:4, pages 237-245.
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Yau-Tarng Juang. (1991) Robust stability and robust pole assignment of linear systems with structured uncertainty. IEEE Transactions on Automatic Control 36:5, pages 635-637.
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F.J. Kraus & M. Mansour. (1991) Sufficient conditions for Hurwitz and Schur stability of interval matrices. Sufficient conditions for Hurwitz and Schur stability of interval matrices.
H. Kokame, H. Kida & T. Mori. (1990) A polytopic quadratic Lyapunov functions approach to stability of a matrix polytope. A polytopic quadratic Lyapunov functions approach to stability of a matrix polytope.
M. Mansour. (1989) Robust stability of interval matrices. Robust stability of interval matrices.
M.P. Polis, A.W. Olbrot & M. Fu. (1989) An overview of recent results on the parametric approach to robust stability. An overview of recent results on the parametric approach to robust stability.

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