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Volumn 52, Issue 1, 2003, Pages 329-342

A numerical method for the stability analysis of quasi-polynomial vector fields

Author keywords

Linear matrix inequalities; Lyapunov functions; Numerical methods

Indexed keywords

ALGORITHMS; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING; SYSTEM STABILITY; VECTORS;

EID: 0037209551     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00117-7     Document Type: Article
Times cited : (21)

References (13)
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  • 4
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    • Complete factorization and analytic solutions of generalized Lotka-Volterra equations
    • Brenig L. Complete factorization and analytic solutions of generalized Lotka-Volterra equations. Phys. Lett. A. 133:1988;378-382.
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    • Brenig, L.1
  • 5
    • 0034678311 scopus 로고    scopus 로고
    • Boundedness of solutions and Lyapunov functions in quasi-polynomial systems
    • Figueiredo A., Gléria I.M., Rocha Filho T.M. Boundedness of solutions and Lyapunov functions in quasi-polynomial systems. Phys. Lett. A. 268:2000;335-341.
    • (2000) Phys. Lett. A , vol.268 , pp. 335-341
    • Figueiredo, A.1    Gléria, I.M.2    Rocha Filho, T.M.3
  • 6
    • 0022043755 scopus 로고
    • On the determination of a diagonal solution of the Lyapunov equation
    • Geromel J.C. On the determination of a diagonal solution of the Lyapunov equation. IEEE Trans. Automat. Control. AC-30(4):1985;404-406.
    • (1985) IEEE Trans. Automat. Control , vol.AC-30 , Issue.4 , pp. 404-406
    • Geromel, J.C.1
  • 7
    • 0035805451 scopus 로고    scopus 로고
    • Stability properties of a general class of nonlinear dynamical systems
    • Gléria I.M., Figueiredo A., Rocha Filho T.M. Stability properties of a general class of nonlinear dynamical systems. J. Phys. A. 34:2001;3561-3575.
    • (2001) J. Phys. A , vol.34 , pp. 3561-3575
    • Gléria, I.M.1    Figueiredo, A.2    Rocha Filho, T.M.3
  • 8
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    • Sufficient conditions for d-stability
    • Jonhson C.R. Sufficient conditions for. d -stability J. Econom. Theory. 9:1974;53-62.
    • (1974) J. Econom. Theory , vol.9 , pp. 53-62
    • Jonhson, C.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.