메뉴 건너뛰기




Volumn 56, Issue 7, 2009, Pages 600-604

Stability analysis of positive systems with bounded time-varying delays

Author keywords

Linear copositive Lyapunov function (functional); Positive linear system; Stability; Time varying delays

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

EID: 68249138708     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2009.2023305     Document Type: Article
Times cited : (180)

References (24)
  • 4
    • 68249145023 scopus 로고    scopus 로고
    • L. Benvenuti, A. D. Santis, and L. Farina, Eds. Berlin, Germany: Springer-Verlag
    • Positive Systems, vol. 294, L. Benvenuti, A. D. Santis, and L. Farina, Eds. Berlin, Germany: Springer-Verlag, 2003.
    • (2003) Positive Systems , vol.294
  • 5
    • 0038391508 scopus 로고    scopus 로고
    • Stability radii of higher order positive difference systems
    • Aug
    • D. Hinrichsen, N. K. Son, and P. H. A. Ngoc, "Stability radii of higher order positive difference systems," Syst. Control Lett., vol. 49, no. 5, pp. 377-388, Aug. 2003.
    • (2003) Syst. Control Lett , vol.49 , Issue.5 , pp. 377-388
    • Hinrichsen, D.1    Son, N.K.2    Ngoc, P.H.A.3
  • 6
    • 0037480964 scopus 로고    scopus 로고
    • A lowerbound on the dimension of positive realizations
    • Jun
    • B. Nagy and M. Matolcsi, "A lowerbound on the dimension of positive realizations," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. vol. 50, no. 6, pp. 782-784, Jun. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl , vol.50 , Issue.6 , pp. 782-784
    • Nagy, B.1    Matolcsi, M.2
  • 7
    • 0036475037 scopus 로고    scopus 로고
    • Positive and compartmental systems
    • Feb
    • L. Benvenuti and L. Farina, "Positive and compartmental systems," IEEE Trans. Autom. Control, vol. 47, no. 2, pp. 370-373, Feb. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.2 , pp. 370-373
    • Benvenuti, L.1    Farina, L.2
  • 8
    • 57949111354 scopus 로고    scopus 로고
    • Constrained control of positive discrete-time systems with delays
    • Feb
    • X. Liu, L. Wang, W. Yu, and S. Zhong, "Constrained control of positive discrete-time systems with delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 2, pp. 193-197, Feb. 2008.
    • (2008) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.55 , Issue.2 , pp. 193-197
    • Liu, X.1    Wang, L.2    Yu, W.3    Zhong, S.4
  • 9
    • 34247385898 scopus 로고    scopus 로고
    • Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure or nonnegative perturbation matrices
    • M. Buslowicz, "Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure or nonnegative perturbation matrices," Bull. Pol. Acad. Sci., Tech. Sci., vol. 55, no. 1, pp. 1-5, 2007.
    • (2007) Bull. Pol. Acad. Sci., Tech. Sci , vol.55 , Issue.1 , pp. 1-5
    • Buslowicz, M.1
  • 11
    • 33947599361 scopus 로고    scopus 로고
    • Controller synthesis for positive linear systems with bounded controls
    • Feb
    • M. A. Rami and F. Tadeo, "Controller synthesis for positive linear systems with bounded controls," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 2, pp. 151-155, Feb. 2007.
    • (2007) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.54 , Issue.2 , pp. 151-155
    • Rami, M.A.1    Tadeo, F.2
  • 12
    • 46449088431 scopus 로고    scopus 로고
    • Control of constrained positive discrete systems
    • New York
    • M. A. Rami, F. Tadeo, and A. Benzaouia, "Control of constrained positive discrete systems," in Proc. Amer. Control Conf., New York, 2007, pp. 5851-5856.
    • (2007) Proc. Amer. Control Conf , pp. 5851-5856
    • Rami, M.A.1    Tadeo, F.2    Benzaouia, A.3
  • 13
    • 15944404992 scopus 로고    scopus 로고
    • The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem
    • O. Mason and R. Shorten, "The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem," Electron. J. Linear Algebra, vol. 12, pp. 42-63, 2005.
    • (2005) Electron. J. Linear Algebra , vol.12 , pp. 42-63
    • Mason, O.1    Shorten, R.2
  • 14
    • 34547098601 scopus 로고    scopus 로고
    • On linear copositive Lyapunov functions and the stability of switched positive linear systems
    • Jul
    • O. Mason and R. Shorten, "On linear copositive Lyapunov functions and the stability of switched positive linear systems," IEEE Trans. Autom. Control, vol. 52, no. 7, pp. 1346-1349, Jul. 2007.
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.7 , pp. 1346-1349
    • Mason, O.1    Shorten, R.2
  • 15
    • 39649086464 scopus 로고    scopus 로고
    • Positive observation problem for linear discrete positive systems
    • San Diego, CA
    • M. A. Rami and F. Tadeo, "Positive observation problem for linear discrete positive systems," in Proc. 45th IEEE Conf. Decision Control, San Diego, CA, 2006, pp. 4729-4733.
    • (2006) Proc. 45th IEEE Conf. Decision Control , pp. 4729-4733
    • Rami, M.A.1    Tadeo, F.2
  • 16
    • 1542740176 scopus 로고    scopus 로고
    • Stability theory for nonnegative and compartmental dynamical systems with time delay
    • Apr
    • W. M. Haddad and V. Chellaboina, "Stability theory for nonnegative and compartmental dynamical systems with time delay," Syst. Control Lett., vol. 51, no. 5, pp. 355-361, Apr. 2004.
    • (2004) Syst. Control Lett , vol.51 , Issue.5 , pp. 355-361
    • Haddad, W.M.1    Chellaboina, V.2
  • 17
    • 64849117061 scopus 로고    scopus 로고
    • Positive observation problem for time-delays linear positive systems
    • Athens, Greece
    • M. A. Rami, U. Helmke, and F. Tadeo, "Positive observation problem for time-delays linear positive systems," in Proc. 15th Mediterranean Conf. Control Autom., Athens, Greece, 2007, pp. 1-6.
    • (2007) Proc. 15th Mediterranean Conf. Control Autom , pp. 1-6
    • Rami, M.A.1    Helmke, U.2    Tadeo, F.3
  • 18
    • 52149098581 scopus 로고    scopus 로고
    • Delay-dependent H∞ control for uncertain fuzzy systems with time-varying delays
    • X. Liu, "Delay-dependent H∞ control for uncertain fuzzy systems with time-varying delays," Nonlinear Anal., vol. 68, no. 5, pp. 1352-1361, 2008.
    • (2008) Nonlinear Anal , vol.68 , Issue.5 , pp. 1352-1361
    • Liu, X.1
  • 19
    • 37049034247 scopus 로고    scopus 로고
    • Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays
    • Feb
    • Y. Sun, L.Wang, and G. Xie, "Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays," Syst. Control Lett., vol. 57, no. 2, pp. 175-183, Feb. 2008.
    • (2008) Syst. Control Lett , vol.57 , Issue.2 , pp. 175-183
    • Sun, Y.1    Wang, L.2    Xie, G.3
  • 20
    • 33845939101 scopus 로고    scopus 로고
    • Delay-range-dependent stability for systems with time-varying delay
    • Feb
    • Y. He, Q.-G. Wang, C. Lin, and M. Wu, "Delay-range-dependent stability for systems with time-varying delay," Automatica, vol. 43, no. 2, pp. 371-376, Feb. 2007.
    • (2007) Automatica , vol.43 , Issue.2 , pp. 371-376
    • He, Y.1    Wang, Q.-G.2    Lin, C.3    Wu, M.4
  • 21
    • 0036859974 scopus 로고    scopus 로고
    • An improved stabilization method for linear time-delay systems
    • Nov
    • E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1931-1937, Nov. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.11 , pp. 1931-1937
    • Fridman, E.1    Shaked, U.2
  • 22
    • 84927720642 scopus 로고    scopus 로고
    • Positive stabilization of discrete-time systems with unknown delay and bounded controls
    • Kos, Greece
    • A. Hmammed, A. Benzaouia, M. A. Rami, and F. Tadeo, "Positive stabilization of discrete-time systems with unknown delay and bounded controls," in Proc. Eur. Control Conf., Kos, Greece, 2007.
    • (2007) Proc. Eur. Control Conf
    • Hmammed, A.1    Benzaouia, A.2    Rami, M.A.3    Tadeo, F.4
  • 23
    • 85060729290 scopus 로고    scopus 로고
    • Positive observation problem for linear time-lag positive systems
    • Foz do Iguaçu, Brazil
    • M. A. Rami, U. Helmke, and F. Tadeo, "Positive observation problem for linear time-lag positive systems," in Proc. 3rd IFAC Symp. Syst., Struct. Control, Foz do Iguaçu, Brazil, 2007.
    • (2007) Proc. 3rd IFAC Symp. Syst., Struct. Control
    • Rami, M.A.1    Helmke, U.2    Tadeo, F.3
  • 24
    • 57749095077 scopus 로고    scopus 로고
    • Simple stability conditions for linear positive discretetime systems with delays
    • M. Buslowicz, "Simple stability conditions for linear positive discretetime systems with delays," Bull. Pol. Acad. Sci., Tech. Sci. vol. 56, no. 4, pp. 325-328, 2008.
    • (2008) Bull. Pol. Acad. Sci., Tech. Sci , vol.56 , Issue.4 , pp. 325-328
    • Buslowicz, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.