메뉴 건너뛰기




Volumn 51, Issue 2, 2006, Pages 338-340

Conditions on the stability of a class of second-order switched systems

Author keywords

Common quadratic Lyapunov function(CQLF); M matrix; Stability; Switched system

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; SWITCHING SYSTEMS;

EID: 33244462876     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.863512     Document Type: Article
Times cited : (35)

References (11)
  • 3
    • 0000803454 scopus 로고
    • "On matrices with nonpositive off diagonal elements and positive principal minors"
    • M. Fiedler and V. Ptak, "On matrices with nonpositive off diagonal elements and positive principal minors," Czechoslovak Math. J., vol. 12, pp. 382-400, 1962.
    • (1962) Czechoslovak Math. J. , vol.12 , pp. 382-400
    • Fiedler, M.1    Ptak, V.2
  • 5
    • 8744260498 scopus 로고    scopus 로고
    • "A switched system model for stability analysis of distributed power control algorithms for cellular network"
    • Boston, MA, Jun
    • A. Paul, M. Akar, U. Mitra, and M. G. Safonov, "A switched system model for stability analysis of distributed power control algorithms for cellular network," in Proc. Amer. Control Conf., Boston, MA, Jun. 2004, pp. 1655-1660.
    • (2004) Proc. Amer. Control Conf. , pp. 1655-1660
    • Paul, A.1    Akar, M.2    Mitra, U.3    Safonov, M.G.4
  • 6
    • 33244461405 scopus 로고    scopus 로고
    • "Preliminary results on the stability of switched positive linear systems"
    • Leuven, Belgium, Jul
    • L. Gurvits, R. Shorten, and O. Mason, "Preliminary results on the stability of switched positive linear systems," in Proc. MTNS, Leuven, Belgium, Jul. 2004.
    • (2004) Proc. MTNS
    • Gurvits, L.1    Shorten, R.2    Mason, O.3
  • 8
    • 0032625112 scopus 로고    scopus 로고
    • "A converse Lyapunov theorem for a class of dynamical systems which undergo switching"
    • Apr
    • W. P. Dayawansa and C. F. Martin, "A converse Lyapunov theorem for a class of dynamical systems which undergo switching," IEEE Trans. Autom. Control, vol. 44, no. 4, pp. 751-760, Apr. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.4 , pp. 751-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 9
    • 0036943097 scopus 로고    scopus 로고
    • "On the existence of common quadratic Lyapunov functions for second order linear time-invariant discrete-time systems"
    • Dec
    • M. Akar and K. S. Narendra, "On the existence of common quadratic Lyapunov functions for second order linear time-invariant discrete-time systems," Int. J. Adapt. Control Signal Process., vol. 16, pp. 729-751, Dec. 2002.
    • (2002) Int. J. Adapt. Control Signal Process. , vol.16 , pp. 729-751
    • Akar, M.1    Narendra, K.S.2
  • 10
    • 0027701548 scopus 로고
    • "A simple distributed autonomous power control algorithm and its convergence"
    • Nov
    • G. J. Foschini and Z. Miljanic, "A simple distributed autonomous power control algorithm and its convergence," IEEE Trans. Veh. Technol., vol. 42, no. 6, pp. 641-646, Nov. 1993.
    • (1993) IEEE Trans. Veh. Technol. , vol.42 , Issue.6 , pp. 641-646
    • Foschini, G.J.1    Miljanic, Z.2
  • 11
    • 0036936621 scopus 로고    scopus 로고
    • "Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems"
    • Dec
    • R. N. Shorten and K. S. Narendra, "Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems," Int. J. Adapt. Control Signal Process., vol. 16, pp. 709-728, Dec. 2002.
    • (2002) Int. J. Adapt. Control Signal Process. , vol.16 , pp. 709-728
    • Shorten, R.N.1    Narendra, K.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.