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Volumn 19, Issue 8, 2006, Pages 747-751

A Perron-Frobenius theorem for a class of positive quasi-polynomial matrices

Author keywords

Exponential stability of linear time delay system; Perron Frobenius theorem; Positive system; Quasi polynomial matrices

Indexed keywords

DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; POLYNOMIALS;

EID: 33748190394     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.10.005     Document Type: Article
Times cited : (27)

References (16)
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    • Extension of the Perron-Frobenius theorem to homogeneous systems
    • Aeyels D., and Leenheer P.D. Extension of the Perron-Frobenius theorem to homogeneous systems. SIAM Journal on Control and Optimization 41 (2002) 563-582
    • (2002) SIAM Journal on Control and Optimization , vol.41 , pp. 563-582
    • Aeyels, D.1    Leenheer, P.D.2
  • 6
    • 1542740176 scopus 로고    scopus 로고
    • Stability theory for nonnegative and compartmental dynamical systems with delay
    • Haddad W.M., and Chellaboina V.S. Stability theory for nonnegative and compartmental dynamical systems with delay. Systems & Control Letters 51 (2004) 355-361
    • (2004) Systems & Control Letters , vol.51 , pp. 355-361
    • Haddad, W.M.1    Chellaboina, V.S.2
  • 8
    • 0032202389 scopus 로고    scopus 로고
    • Stability radii of positive discrete-time systems under affine parameter perturbations
    • Hinrichsen D., and Son N.K. Stability radii of positive discrete-time systems under affine parameter perturbations. International Journal of Robust and Nonlinear Control 8 (1998) 1169-1188
    • (1998) International Journal of Robust and Nonlinear Control , vol.8 , pp. 1169-1188
    • Hinrichsen, D.1    Son, N.K.2
  • 9
    • 0038391508 scopus 로고    scopus 로고
    • Stability radii of positive higher order difference systems
    • Hinrichsen D., Son N.K., and Ngoc P.H.A. Stability radii of positive higher order difference systems. Systems & Control Letters 49 (2003) 377-388
    • (2003) Systems & Control Letters , vol.49 , pp. 377-388
    • Hinrichsen, D.1    Son, N.K.2    Ngoc, P.H.A.3
  • 10
    • 0034230624 scopus 로고    scopus 로고
    • A generalization of Perron-Frobenius theorem
    • Kloeden P.E., and Rubinov A.M. A generalization of Perron-Frobenius theorem. Nonlinear Analysis 41 (2000) 97-115
    • (2000) Nonlinear Analysis , vol.41 , pp. 97-115
    • Kloeden, P.E.1    Rubinov, A.M.2
  • 12
    • 0037169642 scopus 로고    scopus 로고
    • Stability radii of positive linear difference equations under affine parameter perturbations
    • Ngoc P.H.A., and Son N.K. Stability radii of positive linear difference equations under affine parameter perturbations. Applied Mathematics and Computation 134 (2003) 577-594
    • (2003) Applied Mathematics and Computation , vol.134 , pp. 577-594
    • Ngoc, P.H.A.1    Son, N.K.2
  • 13
    • 21944435802 scopus 로고    scopus 로고
    • Theorems of Perron-Frobenius type for matrices without sign restrictions
    • Rump S.M. Theorems of Perron-Frobenius type for matrices without sign restrictions. Linear Algebra and its Applications 266 (1997) 1-42
    • (1997) Linear Algebra and its Applications , vol.266 , pp. 1-42
    • Rump, S.M.1
  • 14
    • 84867921989 scopus 로고    scopus 로고
    • Perron-Frobenius theory for complex matrices
    • Rump S.M. Perron-Frobenius theory for complex matrices. Linear Algebra and its Applications 363 (2003) 251-273
    • (2003) Linear Algebra and its Applications , vol.363 , pp. 251-273
    • Rump, S.M.1
  • 15
    • 0010610963 scopus 로고    scopus 로고
    • Robust stability of positive linear time delay systems under affine parameter perturbations
    • Son N.K., and Ngoc P.H.A. Robust stability of positive linear time delay systems under affine parameter perturbations. Acta Mathematica Vietnamica 24 (1999) 353-372
    • (1999) Acta Mathematica Vietnamica , vol.24 , pp. 353-372
    • Son, N.K.1    Ngoc, P.H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.