메뉴 건너뛰기




Volumn , Issue PART A, 2009, Pages 495-502

Discretized lyapunov-krasovskii functional for systems with multiple delay channels

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFORT; DELAY COMPONENT; DIFFERENTIAL-DIFFERENCE EQUATIONS; DISCRETIZATIONS; INDEPENDENT DELAYS; LARGE SYSTEM; LOW DIMENSIONAL; LYAPUNOV-KRASOVKII FUNCTIONAL; LYAPUNOV-KRASOVSKII FUNCTIONALS; MULTIPLE DELAYS; NUMBER OF STATE; PRACTICAL SYSTEMS; STANDARD FORM; TIME-DELAY SYSTEMS;

EID: 70349898777     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (5)

References (29)
  • 2
    • 0020203138 scopus 로고
    • Analysis of feedback systems with structured uncertainties
    • Doyle, J. C. (1982). Analysis of feedback systems with structured uncertainties. Proc. IEE, Part D, 129(6), 242-250.
    • (1982) Proc. IEE, Part D , vol.129 , Issue.6 , pp. 242-250
    • Doyle, J.C.1
  • 4
    • 0000346338 scopus 로고
    • Nonlinear oscillations in a distributed network
    • Brayton, R. (1976). Nonlinear oscillations in a distributed network. Quart. Appl. Math., 24, 289-301.
    • (1976) Quart. Appl. Math , vol.24 , pp. 289-301
    • Brayton, R.1
  • 5
    • 21344459643 scopus 로고    scopus 로고
    • On quadratic Liapunov function-als for linear difference equations
    • Carvalho L A V (1996) On quadratic Liapunov function-als for linear difference equations. Linear Algebra and its Applications 240: 41-64
    • (1996) Linear Algebra and its Applications , vol.240 , pp. 41-64
    • Carvalho, L.A.V.1
  • 6
    • 0036756393 scopus 로고    scopus 로고
    • Stability of linear descriptor systems with delay: A Lyapunov-based approach
    • Fridman, E. (2002). Stability of linear descriptor systems with delay: a Lyapunov-based approach. Journal of Mathematical Analysis and Applications, 273, 14-44.
    • (2002) Journal of Mathematical Analysis and Applications , vol.273 , pp. 14-44
    • Fridman, E.1
  • 7
    • 0035838737 scopus 로고    scopus 로고
    • A further refinement of discretized Lya-punov functional method for the stability of time-delay systems
    • Gu, K. (2001). A further refinement of discretized Lya-punov functional method for the stability of time-delay systems. Int. J. Control, 74(10), 967-976.
    • (2001) Int. J. Control , vol.74 , Issue.10 , pp. 967-976
    • Gu, K.1
  • 8
    • 0141637436 scopus 로고    scopus 로고
    • Refined discretized Lyapunov functional method for systems with multiple delays
    • Gu, K. (2003). Refined discretized Lyapunov functional method for systems with multiple delays. International Journal of Robust and Nonlinear Control, 13(11), 1017-1033.
    • (2003) International Journal of Robust and Nonlinear Control , vol.13 , Issue.11 , pp. 1017-1033
    • Gu, K.1
  • 9
    • 52349098527 scopus 로고    scopus 로고
    • Large Systems with Multiple Low-Dimensional Delay Channels. Semi-plenary lecture
    • Yantai, China, July 2-4
    • Gu, K. (2008). Large Systems with Multiple Low-Dimensional Delay Channels. Semi-plenary lecture, Proceedings of 2008 Chinese Control and Decision Conference, Yantai, China, July 2-4, 2008.
    • (2008) Proceedings of 2008 Chinese Control and Decision Conference
    • Gu, K.1
  • 11
    • 52349108728 scopus 로고    scopus 로고
    • Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations
    • Submitted to
    • Gu, K., & Liu, Y. (2008). Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations. Submitted to Automatica.
    • (2008) Automatica
    • Gu, K.1    Liu, Y.2
  • 12
    • 33748775802 scopus 로고    scopus 로고
    • Stability analysis of time-delay systems: A Lyapunov approach
    • Loría, A, Lamnabhi-Lagarrigue, F. & Panteley, E, Eds, Lecture Notes from FAP , London: Springer
    • Gu, K., & Niculescu, S.-I. (2006). Stability analysis of time-delay systems: A Lyapunov approach. In: Loría, A., Lamnabhi-Lagarrigue, F. & Panteley, E. (Eds.), Advanced topics in control systems theory, Lecture Notes from FAP 2005 (pp. 139-170). London: Springer.
    • (2005) Advanced topics in control systems theory , pp. 139-170
    • Gu, K.1    Niculescu, S.-I.2
  • 13
    • 0347500683 scopus 로고
    • Parametric stability in difference equations
    • supp
    • Hale, J. K. (1975). Parametric stability in difference equations. Bol. Un. Mat. It., 4, 11 supp.
    • (1975) Bol. Un. Mat. It , vol.4 , pp. 11
    • Hale, J.K.1
  • 14
    • 84971184786 scopus 로고
    • Variation of constants for hybrid systems of functional differential equations
    • Hale, J., & Huang, W. (1993). Variation of constants for hybrid systems of functional differential equations. Proceedings of Royal Society of Edinburgh, 125 A, 1-12.
    • (1993) Proceedings of Royal Society of Edinburgh , vol.125 , Issue.A , pp. 1-12
    • Hale, J.1    Huang, W.2
  • 16
    • 1542295794 scopus 로고    scopus 로고
    • A discretized Lyapunov functional approach to stability of linear delay-differential systems of neutral type
    • Barcelona, Spain, July 21-26
    • Han Q., & Yu, X. (2002). A discretized Lyapunov functional approach to stability of linear delay-differential systems of neutral type. Proc. of the 15th IFAC World Congress on Automatic Control, Barcelona, Spain, July 21-26, 2002.
    • (2002) Proc. of the 15th IFAC World Congress on Automatic Control
    • Han, Q.1    Yu, X.2
  • 17
    • 70349944387 scopus 로고
    • On steam pressure control
    • in Russian
    • Kabakov, I. P. (1946). On steam pressure control (in Russian), Inzh. shornik, 2, 27-60.
    • (1946) Inzh. shornik , vol.2 , pp. 27-60
    • Kabakov, I.P.1
  • 18
    • 0037210861 scopus 로고    scopus 로고
    • Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems
    • Kharitonov, V L., & Zhabko, A. P. (2003). Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems. Automatica, 39, 15-20.
    • (2003) Automatica , vol.39 , pp. 15-20
    • Kharitonov, V.L.1    Zhabko, A.P.2
  • 20
    • 34250265211 scopus 로고
    • Periodic solutions of coupled systems of differential and difference equations
    • Martinez-Amores, P. (1979). Periodic solutions of coupled systems of differential and difference equations. Annali di matematica pura ed applicata, 121(1), 171-186.
    • (1979) Annali di matematica pura ed applicata , vol.121 , Issue.1 , pp. 171-186
    • Martinez-Amores, P.1
  • 22
    • 0027205718 scopus 로고
    • The complex structured singular value
    • Packard, A. and Doyle, J. (1993). The complex structured singular value. Automatica, 29(1), 71-109.
    • (1993) Automatica , vol.29 , Issue.1 , pp. 71-109
    • Packard, A.1    Doyle, J.2
  • 23
    • 0041881648 scopus 로고    scopus 로고
    • On the stability of coupled delay differential and continuous time difference equations
    • Pepe, P. and Verriest, E. I. (2003). On the stability of coupled delay differential and continuous time difference equations. IEEE Transactions on Automatic Control, 48(8), 1422-1427.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.8 , pp. 1422-1427
    • Pepe, P.1    Verriest, E.I.2
  • 24
    • 9644283189 scopus 로고    scopus 로고
    • On the asymptotic stability of coupled delay differential and continuous time difference equations
    • Pepe, P. (2005). On the asymptotic stability of coupled delay differential and continuous time difference equations. Automatica, 41(1), 107-112.
    • (2005) Automatica , vol.41 , Issue.1 , pp. 107-112
    • Pepe, P.1
  • 25
    • 35948951603 scopus 로고    scopus 로고
    • A new Lyapunov-Krasovskii methodology for coupled delay differential and difference equations
    • Pepe, P., Jiang, Z.-P, & Fridman, E. (2007). A new Lyapunov-Krasovskii methodology for coupled delay differential and difference equations. International Journal of Control, 81(1), 107-115.
    • (2007) International Journal of Control , vol.81 , Issue.1 , pp. 107-115
    • Pepe, P.1    Jiang, Z.-P.2    Fridman, E.3
  • 26
    • 4244049847 scopus 로고
    • Absolute stability of a class of control proceses described by functional differential equations of neutral type
    • Janssens, P, Mawhin, J, & Rouche N, Eds, Paris: Hermann
    • Rasvan, V (1973). Absolute stability of a class of control proceses described by functional differential equations of neutral type. In: Janssens, P., Mawhin, J., & Rouche N. (Eds), Equations Differentielles et Fonctionelles Nonlin-eaires. Paris: Hermann.
    • (1973) Equations Differentielles et Fonctionelles Nonlin-eaires
    • Rasvan, V.1
  • 27
    • 0002183071 scopus 로고    scopus 로고
    • Dynamical systems with lossless propagation and neutral functional differential equations
    • Padoue, Italy
    • Rǎsvan, V (1998). Dynamical systems with lossless propagation and neutral functional differential equations. Proc. MTNS 98, Padoue, Italy, 1998, 527-531.
    • (1998) Proc. MTNS 98 , pp. 527-531
    • Rǎsvan, V.1
  • 28
    • 79961155034 scopus 로고    scopus 로고
    • Functional differential equations of lossless propagation and almost linear behavior, Plenary Lecture
    • L'Aquila, Italy
    • Rǎsvan, V. (2006). Functional differential equations of lossless propagation and almost linear behavior, Plenary Lecture. 6th IFAC Workshop on Time-Delay Systems, L'Aquila, Italy.
    • (2006) 6th IFAC Workshop on Time-Delay Systems
    • Rǎsvan, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.