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Volumn 2, Issue , 2007, Pages 505-508

On the construction of diagonal Lyapunov functions for linear systems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; NUMBER THEORY;

EID: 46449112715     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISSCS.2007.4292773     Document Type: Conference Paper
Times cited : (4)

References (15)
  • 1
    • 0002899573 scopus 로고    scopus 로고
    • H.H. Rosenbrock, A Lyapunov function with applications to some nonlinear physical systems, Automatica, 1, pp. 31-53, 1963.
    • H.H. Rosenbrock, A Lyapunov function with applications to some nonlinear physical systems, Automatica, vol. 1, pp. 31-53, 1963.
  • 3
    • 0016533259 scopus 로고
    • Connective stability of competitive equilibrium
    • D. D. Siljak, Connective stability of competitive equilibrium, Automatica, vol. 11, pp. 389-400, 1975.
    • (1975) Automatica , vol.11 , pp. 389-400
    • Siljak, D.D.1
  • 4
    • 0016995661 scopus 로고
    • Lyapunov functions for diagonally dominant systems
    • J C. Willems, Lyapunov functions for diagonally dominant systems, Automatica, vol. 12, pp. 519-523, 1976.
    • (1976) Automatica , vol.12 , pp. 519-523
    • Willems, J.C.1
  • 6
    • 0030193060 scopus 로고    scopus 로고
    • Globally asymptotical stability of discrete-time analog neural networks
    • L. Jin, M.M. Gupta, Globally asymptotical stability of discrete-time analog neural networks. IEEE Trans. on Neural Networks, vol. 7, no. 4, pp. 1024-1031, 1996.
    • (1996) IEEE Trans. on Neural Networks , vol.7 , Issue.4 , pp. 1024-1031
    • Jin, L.1    Gupta, M.M.2
  • 7
    • 0002654632 scopus 로고    scopus 로고
    • On the simultaneous diagonal stability of linear discrete-time systems
    • T. Ooba, Y. Funahashi, On the simultaneous diagonal stability of linear discrete-time systems, Systems and Control Letters, vol. 36, no. 3, pp. 175-180, 1999.
    • (1999) Systems and Control Letters , vol.36 , Issue.3 , pp. 175-180
    • Ooba, T.1    Funahashi, Y.2
  • 8
    • 0033682491 scopus 로고    scopus 로고
    • Stability of multidimensional nonnegative systems
    • T. Ooba, Stability of multidimensional nonnegative systems Circuits, Systems, and Signal Processing, vol. 19, no. 3, pp. 197-204, 2000.
    • (2000) Circuits, Systems, and Signal Processing , vol.19 , Issue.3 , pp. 197-204
    • Ooba, T.1
  • 9
    • 0042378984 scopus 로고    scopus 로고
    • A New Approach to Fuzzy Modeling and Control of Discrete-Time Systems
    • M. Margaliot and G. Langholz, A New Approach to Fuzzy Modeling and Control of Discrete-Time Systems, IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 486-494, 2003.
    • (2003) IEEE Trans. Fuzzy Syst , vol.11 , Issue.4 , pp. 486-494
    • Margaliot, M.1    Langholz, G.2
  • 10
    • 33746059733 scopus 로고    scopus 로고
    • Diagonal stability of a class of cyclic systems and its connection with the secant criterion
    • M. Arcak and E.D.Sontag, Diagonal stability of a class of cyclic systems and its connection with the secant criterion, Automatica, vol. 42, no. 9, pp. 1531-1537, 2006.
    • (2006) Automatica , vol.42 , Issue.9 , pp. 1531-1537
    • Arcak, M.1    Sontag, E.D.2
  • 11
    • 29344470266 scopus 로고    scopus 로고
    • On the simultaneous diagonal stability of a pair of positive linear systems
    • O. Mason and R. Shorten, On the simultaneous diagonal stability of a pair of positive linear systems, Linear Algebra and Its Applications, vol. 413, no. 1, pp. 13-23, 2006.
    • (2006) Linear Algebra and Its Applications , vol.413 , Issue.1 , pp. 13-23
    • Mason, O.1    Shorten, R.2
  • 13
    • 0026881886 scopus 로고
    • Vector norms as Lyapunov functions for linear systems
    • H. Kiendl, J. Adamy and P. Stelzner, Vector norms as Lyapunov functions for linear systems, IEEE Trans. on Aut. Control, vol.37, pp.839-842, 1992.
    • (1992) IEEE Trans. on Aut. Control , vol.37 , pp. 839-842
    • Kiendl, H.1    Adamy, J.2    Stelzner, P.3
  • 15
    • 0000645148 scopus 로고
    • Transformations by diagonal matrices in a normed space
    • J. Stoer, C. Witzgall, Transformations by diagonal matrices in a normed space, Numerische Mathematik, vol. 4, pp. 158-171, 1962.
    • (1962) Numerische Mathematik , vol.4 , pp. 158-171
    • Stoer, J.1    Witzgall, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.