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Correspondence

α-Stability of systems governed by a functional differential equation— extension of results concerning linear delay systems

Pages 2233-2234 | Received 14 Oct 1986, Published online: 16 May 2007

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TE-JEN SU & PIN-LIN LIU. (1993) Robust stability for linear uncertain time-delay systems with delay-dependence. International Journal of Systems Science 24:6, pages 1067-1080.
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ANTONIO TORNAMBE. (1992) Simple observer-based control law for time lag systems. International Journal of Systems Science 23:9, pages 1463-1473.
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M. De la Sen. (2007) About global asymptotic stability of dynamic systems with time lags and uncertainties within polytopes. Engineering Computations 24:6, pages 564-571.
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M. De La Sen. (2006) Stabilization criteria for continuous linear time-invariant systems with constant lags. Discrete Dynamics in Nature and Society 2006, pages 1-19.
Crossref
M. De la Sen. (2006) Stability and assignment of spectrum in systems with discrete time lags. Discrete Dynamics in Nature and Society 2006, pages 1-8.
Crossref
W.N. Zhou, H.Y. Su & J. Chu. (2004) H∞ output feedback control with a -stability constraint for uncertain linear time-delay systems-an LMI approach. H∞ output feedback control with a -stability constraint for uncertain linear time-delay systems-an LMI approach.
Wu-Neng Zhou & Pei-Yuan Meng. (2004) α-robust H/sub ∞/ state observer for a class of uncertain linear time-delay systems: an LMI approach. α-robust H/sub ∞/ state observer for a class of uncertain linear time-delay systems: an LMI approach.
D.Q Cao, Ping He & Keyue Zhang. (2003) Exponential stability criteria of uncertain systems with multiple time delays. Journal of Mathematical Analysis and Applications 283:2, pages 362-374.
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Bugong Xu. (2001) Stability of Retarded Dynamical Systems: A Lyapunov Function Approach. Journal of Mathematical Analysis and Applications 253:2, pages 590-615.
Crossref
Bugong Xu. (2000) Stability Criteria for Linear Time-Invariant Systems with Multiple Delays. Journal of Mathematical Analysis and Applications 252:1, pages 484-494.
Crossref
C.F. Alastruey, J.R.González de Mendívil & M. De la Sen. (1999) Criteria for stability in approximate delay systems. Computers & Mathematics with Applications 38:7-8, pages 199-206.
Crossref
H. Bourlès & O.I. Kosmidou. (1998) Quadratic Stability of Uncertain Time-Delay Systems. IFAC Proceedings Volumes 31:18, pages 31-35.
Crossref
S.-I. Niculescu. (1998) H/sub ∞/ memoryless control with an α-stability constraint for time-delay systems: an LMI approach. IEEE Transactions on Automatic Control 43:5, pages 739-743.
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Yeong-Jeu Sun & Jer-Guang Hsieh. (1998) On α-stability criteria of nonlinear systems with multiple time delays. Journal of the Franklin Institute 335:4, pages 695-705.
Crossref
Wen-June Wang & Rong-Jyue Wang. (1998) Robust stability for noncommensurate time-delay systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 45:4, pages 507-511.
Crossref
Silviu-Iulian Niculescu, Erik I. Verriest, Luc Dugard & Jean-Michel Dion. 1998. Stability and Control of Time-delay Systems. Stability and Control of Time-delay Systems 1 71 .
Huaizhong Li, Silviu-Iulian Niculescu, Luc Dugard & Jean-Michel Dion. (1997) Robust Decentralized H ∞ Control of Interconnected Uncertain Time-Delay Systems. IFAC Proceedings Volumes 30:6, pages 859-864.
Crossref
Silviu-Iulian Niculescu & Vlad Ionescu. (1996) On Stability Criteria for Time-Delay Linear Systems: A Matrix Pencil Approach. IFAC Proceedings Volumes 29:1, pages 1615-1619.
Crossref
Rong-Jyue Wang & Wen-June Wang. (1996) α-Stability analysis of perturbed systems with multiple noncommensurate time delays. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 43:4, pages 349-352.
Crossref
P. Li, L. Alvarez, R. Horowitz, Pin-Yen Chen & J. Carbaugh. (1996) A safe velocity tracking controller for AHS platoon leaders. A safe velocity tracking controller for AHS platoon leaders.
Jie Chen. (1995) On computing the maximal delay intervals for stability of linear delay systems. IEEE Transactions on Automatic Control 40:6, pages 1087-1093.
Crossref
C.F. Alastruey, M. De La Sen & J.R.González De Mendívil. (1995) The stabilizability of integro-differential systems with two distributed delays. Mathematical and Computer Modelling 21:8, pages 85-94.
Crossref
S.-I. Niculescu. (1995) H/sub ∞/ memoryless control with an α-stability constraint for time-delays systems: an LMI approach. H/sub ∞/ memoryless control with an α-stability constraint for time-delays systems: an LMI approach.
Jie Chen, Demin Xu & B. Shafai. (1995) On sufficient conditions for stability independent of delay. IEEE Transactions on Automatic Control 40:9, pages 1675-1680.
Crossref
E. Tissir & A. Hmamed. (1994) Stability tests of interval time delay systems. Systems & Control Letters 23:4, pages 263-270.
Crossref
Juing-Huei Su, I-Kong Fong & Chwan-Lu Tseng. (1994) Stability analysis of linear systems with time delay. IEEE Transactions on Automatic Control 39:6, pages 1341-1344.
Crossref
Jie Chen. (1994) On computing the maximal delay intervals for stability of linear delay systems. On computing the maximal delay intervals for stability of linear delay systems.
Jie Chen, Demin Xu & B. Shafai. (1994) On sufficient conditions for stability independent of delay. On sufficient conditions for stability independent of delay.
J. Chen & H.A. Latchman. (1994) Asymptotic stability independent of delays: simple necessary and sufficient conditions. Asymptotic stability independent of delays: simple necessary and sufficient conditions.
T. Mori & H. Kokame. (1989) Stability of x(t)=Ax(t)+Bx(t- tau ). IEEE Transactions on Automatic Control 34:4, pages 460-462.
Crossref

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