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Volumn 273, Issue 1, 2002, Pages 24-44

Stability of linear descriptor systems with delay: A Lyapunov-based approach

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EID: 0036756393     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00202-0     Document Type: Article
Times cited : (351)

References (29)
  • 1
    • 0001274382 scopus 로고
    • Systems d'equations differentielles d'oscillations nonlinearies
    • I. Barbalat, Systems d'equations differentielles d'oscillations nonlinearies, Rev. Roumaine Math. Pures Appl. 4 (1959) 267-270.
    • (1959) Rev. Roumaine Math. Pures Appl , vol.4 , pp. 267-270
    • Barbalat, I.1
  • 3
    • 0001513441 scopus 로고
    • Small signal stability criterion for electrical networks containing lossless transmission lines
    • R. Brayton, Small signal stability criterion for electrical networks containing lossless transmission lines, IBM J. Res. Develop. 12 (1968) 431-440.
    • (1968) IBM J. Res. Develop , vol.12 , pp. 431-440
    • Brayton, R.1
  • 4
    • 0000988617 scopus 로고
    • Singular linear systems of differential equations with delays
    • S. Campbell, Singular linear systems of differential equations with delays, Appl. Anal. 2 (1980) 129-136.
    • (1980) Appl. Anal , vol.2 , pp. 129-136
    • Campbell, S.1
  • 5
    • 0002704448 scopus 로고
    • 2-D (differential-delay) implicit systems
    • Proceedings of IMACS World Congress on Scientific Computation, Dublin
    • S. Campbell, 2-D (differential-delay) implicit systems, in: Proceedings of IMACS World Congress on Scientific Computation, Dublin, 1991, pp. 1828-1829.
    • (1991) , pp. 1828-1829
    • Campbell, S.1
  • 6
    • 0000133621 scopus 로고    scopus 로고
    • Nonlinear descriptor systems
    • P. Frank (Ed.), Springer-Verlag, London
    • S. Campbell, R. Nikoukhah, F. Delebecque, Nonlinear descriptor systems, in: P. Frank (Ed.), Advances in Control, Springer-Verlag, London, 1999, pp. 247-282.
    • (1999) Advances in Control , pp. 247-282
    • Campbell, S.1    Nikoukhah, R.2    Delebecque, F.3
  • 7
    • 0003459004 scopus 로고
    • Singular Control Systems
    • Springer-Verlag, Berlin
    • L. Dai, Singular Control Systems, Springer-Verlag, Berlin, 1989.
    • (1989)
    • Dai, L.1
  • 9
    • 0003261196 scopus 로고
    • Introduction to the Theory and Applications of Differential Equations with Deviating Arguments
    • Academic Press, New York
    • L. El'sgol'ts, S. Norkin, Introduction to the Theory and Applications of Differential Equations with Deviating Arguments, in: Mathematics in Science and Engineering, Vol. 105, Academic Press, New York, 1973.
    • (1973) Mathematics in Science and Engineering , vol.105
    • El'sgol'ts, L.1    Norkin, S.2
  • 10
    • 0036568287 scopus 로고    scopus 로고
    • Effects of small delays on stability of singularly perturbed systems
    • E. Fridman, Effects of small delays on stability of singularly perturbed systems, Automatica 38 (2002) 897-902.
    • (2002) Automatica , vol.38 , pp. 897-902
    • Fridman, E.1
  • 11
    • 0034915494 scopus 로고    scopus 로고
    • New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
    • E. Fridman, New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Systems Control Lett. 43 (2001) 309-319.
    • (2001) Systems Control Lett , vol.43 , pp. 309-319
    • Fridman, E.1
  • 12
    • 0003400854 scopus 로고
    • Stability and Oscillations in Delay Differential Equations of Population Dynamics
    • Kluwer Academic, Dordrecht
    • K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic, Dordrecht, 1992.
    • (1992)
    • Gopalsamy, K.1
  • 13
    • 0030676615 scopus 로고    scopus 로고
    • Stability radii for some propagation models
    • A. Halanay, V. Rasvan, Stability radii for some propagation models, IMA J. Math. Control Inform. 14 (1997) 95-107.
    • (1997) IMA J. Math. Control Inform , vol.14 , pp. 95-107
    • Halanay, A.1    Rasvan, V.2
  • 14
    • 0022018176 scopus 로고
    • Stability in linear delay equations
    • J. Hale, E. Infante, F. Tsen, Stability in linear delay equations, J. Math. Anal. Appl. 105 (1985) 533-555.
    • (1985) J. Math. Anal. Appl , vol.105 , pp. 533-555
    • Hale, J.1    Infante, E.2    Tsen, F.3
  • 15
    • 0003492055 scopus 로고
    • Introduction to Functional Differential Equations
    • Springer-Verlag, New York
    • J. Hale, S. Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993.
    • (1993)
    • Hale, J.1    Lunel, S.2
  • 16
  • 17
    • 0000023997 scopus 로고    scopus 로고
    • On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems
    • V. Kolmanovskii, S.-I. Niculescu, J.P. Richard, On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems, Internat. J. Control 72 (1999) 374-384.
    • (1999) Internat. J. Control , vol.72 , pp. 374-384
    • Kolmanovskii, V.1    Niculescu, S.-I.2    Richard, J.P.3
  • 18
    • 0003406270 scopus 로고
    • Stability of Functional Differential Equations
    • Academic Press, New York
    • V Kolmanovskii, V. Nosov, Stability of Functional Differential Equations, Academic Press, New York, 1986.
    • (1986)
    • Kolmanovskii, V.1    Nosov, V.2
  • 20
    • 0031222129 scopus 로고    scopus 로고
    • Criteria for robust stability and stabilization of uncertain linear systems with state delay
    • X. Li, C. de Souza, Criteria for robust stability and stabilization of uncertain linear systems with state delay, Automatica 33 (1997) 1657-1662.
    • (1997) Automatica , vol.33 , pp. 1657-1662
    • Li, X.1    de Souza, C.2
  • 21
    • 0034179282 scopus 로고    scopus 로고
    • Stability conditions for a class of neutral systems with multiple time delays
    • C.-H. Lien, K.-W. Yu, J.-G. Hsieh, Stability conditions for a class of neutral systems with multiple time delays, J. Math. Anal. Appl. 245 (2000) 20-27.
    • (2000) J. Math. Anal. Appl , vol.245 , pp. 20-27
    • Lien, C.-H.1    Yu, K.-W.2    Hsieh, J.-G.3
  • 22
    • 0042358794 scopus 로고    scopus 로고
    • Destabilizing effects of small time delays on feedback-controlled descriptor systems
    • H. Logemann, Destabilizing effects of small time delays on feedback-controlled descriptor systems, Linear Algebra Appl. 272 (1998) 131-153.
    • (1998) Linear Algebra Appl , vol.272 , pp. 131-153
    • Logemann, H.1
  • 23
    • 0003414937 scopus 로고    scopus 로고
    • Robust Control and Filtering for Time-Delay Systems
    • Marcel Decker, New York
    • M. Mahmoud, Robust Control and Filtering for Time-Delay Systems, Marcel Decker, New York, 2000.
    • (2000)
    • Mahmoud, M.1
  • 24
    • 0003280414 scopus 로고    scopus 로고
    • Further remarks on delay-dependent stability of linear neutral systems
    • Proceedings of MTNS 2000, Perpignan, France
    • S.-I. Niculescu, Further remarks on delay-dependent stability of linear neutral systems, in: Proceedings of MTNS 2000, Perpignan, France, 2000.
    • (2000)
    • Niculescu, S.-I.1
  • 25
    • 0003319138 scopus 로고    scopus 로고
    • Delay-independent stability in lossless propagation models with applications
    • Proceedings of MTNS 2000, Perpignan, France
    • S.-I. Niculescu, V. Rasvan, Delay-independent stability in lossless propagation models with applications, in: Proceedings of MTNS 2000, Perpignan, France, 2000.
    • (2000)
    • Niculescu, S.-I.1    Rasvan, V.2
  • 26
    • 0003917154 scopus 로고
    • Absolute Stability of Time Lag Control Systems
    • Ed. Academiei, Bucharest, in Romanian
    • V. Rasvan, Absolute Stability of Time Lag Control Systems, Ed. Academiei, Bucharest, 1975, in Romanian.
    • (1975)
    • Rasvan, V.1
  • 27
    • 0029639903 scopus 로고
    • A generalized Lyapunov theorem for descriptor system
    • K. Takaba, N. Morihira, T. Katayama, A generalized Lyapunov theorem for descriptor system, Systems Control Lett. 24 (1995) 49-51.
    • (1995) Systems Control Lett , vol.24 , pp. 49-51
    • Takaba, K.1    Morihira, N.2    Katayama, T.3
  • 28
    • 0002150745 scopus 로고    scopus 로고
    • Delay-independent stability of linear neutral systems: A Riccati equation approach
    • L. Dugard, E. Verriest (Eds.), Lecture Notes in Control and Inform. Sci., Springer-Veriag, London
    • E. Verriest, S.-I. Niculescu, Delay-independent stability of linear neutral systems: A Riccati equation approach, in: L. Dugard, E. Verriest (Eds.), Stability and Control of Time-Delay Systems, in: Lecture Notes in Control and Inform. Sci., Vol. 227, Springer-Veriag, London, 1997, pp. 92-100.
    • (1997) Stability and Control of Time-Delay Systems , vol.227 , pp. 92-100
    • Verriest, E.1    Niculescu, S.-I.2
  • 29
    • 0031209592 scopus 로고    scopus 로고
    • Asymptotic stability of linear delay differential-algebraic equations and numerical methods
    • W. Zhu, L. Petzold, Asymptotic stability of linear delay differential-algebraic equations and numerical methods, Appl. Numer. Math. 24 (1997) 247-264.
    • (1997) Appl. Numer. Math , vol.24 , pp. 247-264
    • Zhu, W.1    Petzold, L.2


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