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Volumn 40, Issue 1, 2000, Pages 589-609

Stability of polytopic systems via convex M-matrices and parameter-dependent Liapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING;

EID: 0034172732     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)85036-1     Document Type: Article
Times cited : (24)

References (37)
  • 1
    • 33847565116 scopus 로고
    • Department of Computation and Control, Imperial College, London, Publication 74/19, March
    • M. Araki, M-matrices, Department of Computation and Control, Imperial College, London, Publication 74/19, March 1974.
    • (1974) M-matrices
    • Araki, M.1
  • 5
    • 0029270797 scopus 로고
    • Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis
    • D.S. Bernstein, W.M. Haddad, Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis, IEEE Trans. Automat. Control 40 (1995) 536-543.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 536-543
    • Bernstein, D.S.1    Haddad, W.M.2
  • 8
    • 0037856528 scopus 로고
    • Linear Matrix Inequalities in System and Control Theory
    • Philadelphia, PA
    • S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, PA, 1994.
    • (1994) SIAM
    • Boyd, S.1    Ghaoui, L.E.2    Feron, E.3    Balakrishnan, V.4
  • 9
    • 0002088607 scopus 로고
    • Inequalities for the sum of two M-matrices
    • O. Shisha (Ed.), Academic Press, New York
    • K. Fan, Inequalities for the sum of two M-matrices, in: O. Shisha (Ed.), Inequalities, Academic Press, New York. 1967, pp. 105-117.
    • (1967) Inequalities , pp. 105-117
    • Fan, K.1
  • 10
    • 0000803454 scopus 로고
    • On matrices with non-positive off-diagonal elements and positive principal minors
    • M. Fiedler, V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czechoslovak. Math. J. 12 (1962) 382-400.
    • (1962) Czechoslovak. Math. J. , vol.12 , pp. 382-400
    • Fiedler, M.1    Pták, V.2
  • 11
    • 0029345226 scopus 로고
    • New conditions for global stability of neural networks with application to linear and quadratic programming problems
    • M. Forti, A. Tesi, New conditions for global stability of neural networks with application to linear and quadratic programming problems, IEEE Trans. Circuits Systems Part I 42 (1995) 354-366.
    • (1995) IEEE Trans. Circuits Systems Part I , vol.42 , pp. 354-366
    • Forti, M.1    Tesi, A.2
  • 12
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • P. Gabinet, P. Apkarian, M. Chilali, Affine parameter-dependent Lyapunov functions and real parametric uncertainty, IEEE Trans. Automat. Control 41 (1996) 436-442.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 436-442
    • Gabinet, P.1    Apkarian, P.2    Chilali, M.3
  • 17
    • 0017007748 scopus 로고
    • Regulators for linear, time invariant plants with uncertain parameters
    • H.P. Horisberger, P.R. Bélanger, Regulators for linear, time invariant plants with uncertain parameters, IEEE Trans. Automat. Control AC-21 (1976) 705-708.
    • (1976) IEEE Trans. Automat. Control , vol.AC-21 , pp. 705-708
    • Horisberger, H.P.1    Bélanger, P.R.2
  • 18
    • 0018871124 scopus 로고
    • Lotka-Volterra equations: Decomposition, stability, and structure
    • M. Ikeda, D.D. Šiljak, Lotka-Volterra equations: decomposition, stability, and structure, J. Math. Biol. 9 (1980) 65-83.
    • (1980) J. Math. Biol. , vol.9 , pp. 65-83
    • Ikeda, M.1    Šiljak, D.D.2
  • 19
    • 0002017924 scopus 로고
    • Parametric stability
    • G. Conte, A.M. Perdon, B. Wyman (Eds.), Birkhauser, Boston, MA
    • M. Ikeda, Y. Ohta, D.D. Šiljak, Parametric stability, in: G. Conte, A.M. Perdon, B. Wyman (Eds.), New Trends in Systems Theory. Birkhauser, Boston, MA, 1991, pp. 1-20.
    • (1991) New Trends in Systems Theory , pp. 1-20
    • Ikeda, M.1    Ohta, Y.2    Šiljak, D.D.3
  • 27
    • 0025522420 scopus 로고
    • Sun, Analysis and synthesis techniques for Hopfield-type synchronous discrete time neural networks with application to associative memory
    • A.N. Michel. J.A. Farrell, Sun, Analysis and synthesis techniques for Hopfield-type synchronous discrete time neural networks with application to associative memory, IEEE Trans. Circuits Systems 37 (1990) 1356-1366.
    • (1990) IEEE Trans. Circuits Systems , vol.37 , pp. 1356-1366
    • Michel, A.N.1    Farrell, J.A.2
  • 28
    • 0031075458 scopus 로고    scopus 로고
    • An extension of the Levy-Desplanque theorem and some stability conditions for matrices with uncertain entries
    • L. Naimark, E. Zeheb, An extension of the Levy-Desplanque theorem and some stability conditions for matrices with uncertain entries, IEEE Trans. Circuits Systems Part I 44 (1997) 167-170.
    • (1997) IEEE Trans. Circuits Systems Part I , vol.44 , pp. 167-170
    • Naimark, L.1    Zeheb, E.2
  • 29
    • 0002899571 scopus 로고
    • A Lyapunov function for some naturally-occurring homogeneous time-dependent equations
    • H.H. Rosenbrock, A Lyapunov function for some naturally-occurring homogeneous time-dependent equations, Automatica 1 (1963) 97-109.
    • (1963) Automatica , vol.1 , pp. 97-109
    • Rosenbrock, H.H.1
  • 30
    • 84977698537 scopus 로고
    • Some theorems on properties of DC equations of nonlinear networks
    • I.W. Sanderg, A.N. Willson, Some theorems on properties of DC equations of nonlinear networks, Bell System Tech. J. 48 (1969) 1-34.
    • (1969) Bell System Tech. J. , vol.48 , pp. 1-34
    • Sanderg, I.W.1    Willson, A.N.2
  • 32
    • 0031076216 scopus 로고    scopus 로고
    • Explicit formulas for stability radii of nonnegative and Metzlerian matrices
    • B. Shafai, J. Chen, M. Kothandaraman, Explicit formulas for stability radii of nonnegative and Metzlerian matrices, IEEE Trans. Automat. Control 42 (1997) 265-270.
    • (1997) IEEE Trans. Automat. Control , vol.42 , pp. 265-270
    • Shafai, B.1    Chen, J.2    Kothandaraman, M.3
  • 33
    • 0016533259 scopus 로고
    • Connective stability of competitive equilibrium
    • D.D. Šiljak, Connective stability of competitive equilibrium, Automatica 11 (1975) 389-400.
    • (1975) Automatica , vol.11 , pp. 389-400
    • Šiljak, D.D.1
  • 36
    • 0028827420 scopus 로고
    • A learning scheme for dynamic neural networks: Equilibrium manifold and connective stability
    • H.C. Tseng, D.D. Šiljak. A learning scheme for dynamic neural networks: Equilibrium manifold and connective stability. Neural Networks 8 (1995) 853-864.
    • (1995) Neural Networks , vol.8 , pp. 853-864
    • Tseng, H.C.1    Šiljak, D.D.2
  • 37
    • 0030190515 scopus 로고    scopus 로고
    • On the stability of a family of nonlinear time-varying systems
    • K. Wang, A.N. Michel, On the stability of a family of nonlinear time-varying systems, IEEE Trans. Circuits Systems Part I 43 (1996) 517-531.
    • (1996) IEEE Trans. Circuits Systems Part I , vol.43 , pp. 517-531
    • Wang, K.1    Michel, A.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.