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Volumn 187, Issue 2, 2007, Pages 1199-1207

Stability criteria for linear time-invariant systems with point delays based on one-dimensional Routh-Hurwitz tests

Author keywords

Asymptotic stability; Time delay systems; Uncommensurate delays

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR SYSTEMS; MATRIX ALGEBRA; ONE DIMENSIONAL; PARAMETERIZATION; SET THEORY;

EID: 34247543859     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.09.033     Document Type: Article
Times cited : (10)

References (37)
  • 1
    • 0034369930 scopus 로고    scopus 로고
    • Stability criteria for linear time-invariant systems with multiple delays
    • Xu B. Stability criteria for linear time-invariant systems with multiple delays. Journal of Mathematical Analysis and Applications 252 (2000) 484-494
    • (2000) Journal of Mathematical Analysis and Applications , vol.252 , pp. 484-494
    • Xu, B.1
  • 2
    • 4344643800 scopus 로고    scopus 로고
    • Robust Hurwitz stability test for linear systems with uncertain uncommensurate time delays
    • Wang Z., Hu H., and Kupper T. Robust Hurwitz stability test for linear systems with uncertain uncommensurate time delays. IEEE Transactions on Automatic Control 49 8 (2004) 13-17
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.8 , pp. 13-17
    • Wang, Z.1    Hu, H.2    Kupper, T.3
  • 3
    • 4344691121 scopus 로고    scopus 로고
    • Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays
    • De la Sen M. Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays. Acta Applicandae Mathematicae 83 3 (2004) 235-256
    • (2004) Acta Applicandae Mathematicae , vol.83 , Issue.3 , pp. 235-256
    • De la Sen, M.1
  • 4
    • 1642519782 scopus 로고    scopus 로고
    • On the uniform exponential stability of a wide class of linear time-delay systems
    • De la Sen M., and Luo N.S. On the uniform exponential stability of a wide class of linear time-delay systems. Journal of Mathematical Analysis and Applications 289 2 (2004) 456-476
    • (2004) Journal of Mathematical Analysis and Applications , vol.289 , Issue.2 , pp. 456-476
    • De la Sen, M.1    Luo, N.S.2
  • 7
    • 0036928559 scopus 로고    scopus 로고
    • Sufficient conditions for alpha-stability of linear time-delay systems
    • De la Sen M. Sufficient conditions for alpha-stability of linear time-delay systems. Cybernetics and Systems 33 8 (2002) 835-840
    • (2002) Cybernetics and Systems , vol.33 , Issue.8 , pp. 835-840
    • De la Sen, M.1
  • 8
    • 0027629448 scopus 로고
    • State-feedback sliding mode control of a class of uncertain time-delay systems
    • Luo N., and De la Sen M. State-feedback sliding mode control of a class of uncertain time-delay systems. IEEE Proceedings D-Control Theory and Applications 140 4 (1993) 261-274
    • (1993) IEEE Proceedings D-Control Theory and Applications , vol.140 , Issue.4 , pp. 261-274
    • Luo, N.1    De la Sen, M.2
  • 9
    • 0036576491 scopus 로고    scopus 로고
    • An exact method for the stability analysis of time-delayed linear time-invariant systems
    • Olgac N., and Sipahi R. An exact method for the stability analysis of time-delayed linear time-invariant systems. IEEE Transactions on Automatic Control 47 5 (2002) 793-797
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.5 , pp. 793-797
    • Olgac, N.1    Sipahi, R.2
  • 10
    • 0007790565 scopus 로고    scopus 로고
    • Delay-independent stability of retarded dynamic systems of multiple degrees of freedom
    • Wang Z.H., and Hu H.Y. Delay-independent stability of retarded dynamic systems of multiple degrees of freedom. Journal of Sound and Vibration 226 1 (1999) 57-81
    • (1999) Journal of Sound and Vibration , vol.226 , Issue.1 , pp. 57-81
    • Wang, Z.H.1    Hu, H.Y.2
  • 11
    • 34247511387 scopus 로고
    • A contribution to the stability of systems of differential equations with impulses
    • Perestyuk M.A., and Chernikova O.S. A contribution to the stability of systems of differential equations with impulses. Ukraini Mathematiki Zhurnal 36 (1984) 190-195
    • (1984) Ukraini Mathematiki Zhurnal , vol.36 , pp. 190-195
    • Perestyuk, M.A.1    Chernikova, O.S.2
  • 12
    • 0020113073 scopus 로고
    • Linear systems with commensurate delays. Stability and stabilization independent of delay
    • Kamen E.W. Linear systems with commensurate delays. Stability and stabilization independent of delay. IEEE Transactions on Automatic Control AC-27 2 (1982) 367-375
    • (1982) IEEE Transactions on Automatic Control , vol.AC-27 , Issue.2 , pp. 367-375
    • Kamen, E.W.1
  • 15
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: an overview of some recent advances and open problems
    • Richard J.P. Time-delay systems: an overview of some recent advances and open problems. Automatica 39 10 (2003) 1667-1694
    • (2003) Automatica , vol.39 , Issue.10 , pp. 1667-1694
    • Richard, J.P.1
  • 16
    • 4243560466 scopus 로고    scopus 로고
    • State-space realisations of linear 2-D systems with extensions
    • ISSN 0170-8643
    • Galkowski K. State-space realisations of linear 2-D systems with extensions. Lecture Notes in Control and Information Sciences 263 (2001) 1 ISSN 0170-8643
    • (2001) Lecture Notes in Control and Information Sciences , vol.263 , pp. 1
    • Galkowski, K.1
  • 20
    • 2142773257 scopus 로고    scopus 로고
    • Observer-based sliding mode control of nonlinear state-delayed system
    • Niu Y., Lam J., Wang X., and Ho D.W.C. Observer-based sliding mode control of nonlinear state-delayed system. International Journal of Systems Science 35 2 (2004) 39-150
    • (2004) International Journal of Systems Science , vol.35 , Issue.2 , pp. 39-150
    • Niu, Y.1    Lam, J.2    Wang, X.3    Ho, D.W.C.4
  • 22
    • 0142216219 scopus 로고    scopus 로고
    • Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input
    • Yu F.M., Chung H.Y., and Chen S.Y. Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input. Fuzzy Sets and Systems 140 2 (2003) 359-374
    • (2003) Fuzzy Sets and Systems , vol.140 , Issue.2 , pp. 359-374
    • Yu, F.M.1    Chung, H.Y.2    Chen, S.Y.3
  • 23
    • 0041764958 scopus 로고    scopus 로고
    • A decentralised model reference adaptive variable structure controller for large-scale time-varying delay systems
    • Chou C.H., and Cheng C.C. A decentralised model reference adaptive variable structure controller for large-scale time-varying delay systems. IEEE Transactions on Automatic Control 48 7 (2003) 1213-1217
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.7 , pp. 1213-1217
    • Chou, C.H.1    Cheng, C.C.2
  • 24
    • 0038291749 scopus 로고    scopus 로고
    • Sliding mode control for uncertain time-delay systems subjected to a class of nonlinear inputs
    • Yan J.J. Sliding mode control for uncertain time-delay systems subjected to a class of nonlinear inputs. International Journal of Robust and Nonlinear Control 13 6 (2003) 519-522
    • (2003) International Journal of Robust and Nonlinear Control , vol.13 , Issue.6 , pp. 519-522
    • Yan, J.J.1
  • 26
    • 0037396983 scopus 로고    scopus 로고
    • On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form
    • Shorten R.N., and Narendra K.S. On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form. IEEE Transactions on Automatic Control 48 4 (2003) 618-621
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.4 , pp. 618-621
    • Shorten, R.N.1    Narendra, K.S.2
  • 27
    • 31644448583 scopus 로고    scopus 로고
    • Robust stabilization of uncertain systems with delays in control input: a matrix inequality approach
    • Kwon O.M., and Park J.H. Robust stabilization of uncertain systems with delays in control input: a matrix inequality approach. Applied Mathematics and Computation 172 2 (2006) 1067-1077
    • (2006) Applied Mathematics and Computation , vol.172 , Issue.2 , pp. 1067-1077
    • Kwon, O.M.1    Park, J.H.2
  • 28
    • 33744506602 scopus 로고    scopus 로고
    • Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays
    • Yang Z.C., and Xu D.Y. Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Applied Mathematics and Computation 177 1 (2006) 63-78
    • (2006) Applied Mathematics and Computation , vol.177 , Issue.1 , pp. 63-78
    • Yang, Z.C.1    Xu, D.Y.2
  • 29
    • 29544442343 scopus 로고    scopus 로고
    • Solution representations and relative controllability of linear differential algebraic systems with several delays
    • Marchenko V.M., and Poddubnaya O.N. Solution representations and relative controllability of linear differential algebraic systems with several delays. Doklady Mathematics 72 2 (2005) 824-828
    • (2005) Doklady Mathematics , vol.72 , Issue.2 , pp. 824-828
    • Marchenko, V.M.1    Poddubnaya, O.N.2
  • 30
    • 33746257489 scopus 로고    scopus 로고
    • Representation of solutions of hybrid difference-differential systems
    • Marchenko V.M., and Poddubnaya O.N. Representation of solutions of hybrid difference-differential systems. Differential Equations 42 6 (2006) 789-804
    • (2006) Differential Equations , vol.42 , Issue.6 , pp. 789-804
    • Marchenko, V.M.1    Poddubnaya, O.N.2
  • 31
    • 33747452690 scopus 로고    scopus 로고
    • Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces
    • De la Sen M. Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces. Journal of Mathematical Analysis and Applications 321 2 (2006) 621-650
    • (2006) Journal of Mathematical Analysis and Applications , vol.321 , Issue.2 , pp. 621-650
    • De la Sen, M.1
  • 32
    • 25144516684 scopus 로고    scopus 로고
    • Absolute stability of feedback systems independent of internal point delays
    • De la Sen M. Absolute stability of feedback systems independent of internal point delays. IEE Proceedings-Control Theory and Applications 152 5 (2005) 567-574
    • (2005) IEE Proceedings-Control Theory and Applications , vol.152 , Issue.5 , pp. 567-574
    • De la Sen, M.1
  • 33
    • 9144263107 scopus 로고    scopus 로고
    • Stability results for two classes of linear time-delay and hybrid systems
    • De la Sen M., and Alastruey C.F. Stability results for two classes of linear time-delay and hybrid systems. Engineering Computations 21 7-8 (2004) 718-735
    • (2004) Engineering Computations , vol.21 , Issue.7-8 , pp. 718-735
    • De la Sen, M.1    Alastruey, C.F.2
  • 34
    • 31644438080 scopus 로고    scopus 로고
    • Robust stable pole-placement adaptive control of linear systems with multiestimation
    • De la Sen M. Robust stable pole-placement adaptive control of linear systems with multiestimation. Applied Mathematics and Computation 172 2 (2006) 1145-1174
    • (2006) Applied Mathematics and Computation , vol.172 , Issue.2 , pp. 1145-1174
    • De la Sen, M.1
  • 35
    • 27944448932 scopus 로고    scopus 로고
    • Robust sliding mode controllers design techniques for stabilization of multivariable time-delay systems with parameter perturbations and external disturbances
    • Jafarov E.M. Robust sliding mode controllers design techniques for stabilization of multivariable time-delay systems with parameter perturbations and external disturbances. International Journal of Systems Science 36 7 (2005) 433-444
    • (2005) International Journal of Systems Science , vol.36 , Issue.7 , pp. 433-444
    • Jafarov, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.