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Volumn 50, Issue 1, 2007, Pages 1-17

Characterizations of Positive Linear Functional Differential Equations

Author keywords

Linear functional differential equation; Positive system; Stability

Indexed keywords


EID: 84995540341     PISSN: 05328721     EISSN: None     Source Type: Journal    
DOI: 10.1619/fesi.50.1     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0003658403 scopus 로고
    • Nonnegative Matrices in the Mathematical Sciences
    • New York
    • Berman, A. and Plemmons, R. J., Nonnegative Matrices in the Mathematical Sciences, Acad. Press, New York, 1979.
    • (1979) Acad. Press
    • Berman, A.1    Plemmons, R.J.2
  • 2
    • 85024469883 scopus 로고    scopus 로고
    • A demonstration of the Weierstrass theorem based on the theory of probability
    • Bernshtein, S. N., A demonstration of the Weierstrass theorem based on the theory of probability, The Mathematical Scientist, 29 (2004), 127–128.
    • (2004) The Mathematical Scientist , vol.29 , pp. 127-128
    • Bernshtein, S.N.1
  • 3
    • 0034921617 scopus 로고    scopus 로고
    • LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals
    • Bliman, P. A., LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals, Systems Control Lett., 43 (2001), 263–274.
    • (2001) Systems Control Lett. , vol.43 , pp. 263-274
    • Bliman, P.A.1
  • 4
    • 33750199896 scopus 로고    scopus 로고
    • From Lyapunov-Krasovskii functionals for delay-independent stability to LMI conditions for μ-analysis
    • Springer, Berlin
    • Bliman, P. A., From Lyapunov-Krasovskii functionals for delay-independent stability to LMI conditions for μ-analysis, Advances in time-delay systems, Lect. Notes Comput. Sci. Eng., 38, Springer, Berlin (2004), pp. 75–85.
    • (2004) Advances in time-delay systems, Lect. Notes Comput. Sci. Eng. , vol.38 , pp. 75-85.
    • Bliman, P.A.1
  • 8
    • 0010539480 scopus 로고    scopus 로고
    • μ-analysis and robust stability of positive linear systems
    • Hinrichsen, D. and Son, N. K., μ-analysis and robust stability of positive linear systems, Appl. Math. and Comput. Sci., 8 (1998), 253–268.
    • (1998) Appl. Math. and Comput. Sci. , vol.8 , pp. 253-268
    • 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 Lett., 49 (2003), 377–388.
    • (2003) Systems Control Lett. , vol.49 , pp. 377-388
    • Hinrichsen, D.1    Son, N.K.2    Ngoc, P.H.A.3
  • 12
    • 20744450253 scopus 로고    scopus 로고
    • Strong stability radii of positive linear time-delay systems
    • Ngoc, P. H. A., Strong stability radii of positive linear time-delay systems, Internat. J. Robust Nonlinear Control, 15 (2005), 459–472.
    • (2005) Internat. J. Robust Nonlinear Control , vol.15 , pp. 459-472
    • Ngoc, P.H.A.1
  • 13
    • 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, Appl. Math. Comput., 134 (2003), 577–594.
    • (2003) Appl. Math. Comput. , vol.134 , pp. 577-594
    • Ngoc, P.H.A.1    Son, N.K.2
  • 14
    • 3843079660 scopus 로고    scopus 로고
    • Stability radii of linear systems under multi-perturbations
    • Ngoc, P. H. A. and Son, N. K., Stability radii of linear systems under multi-perturbations, Numer. Funct. Anal. Optim., 25 (2004), 221–238.
    • (2004) Numer. Funct. Anal. Optim. , vol.25 , pp. 221-238
    • Ngoc, P.H.A.1    Son, N.K.2
  • 16
    • 0010574839 scopus 로고    scopus 로고
    • Robust stability of positive continuous time systems
    • Son, N. K. and Hinrichsen, D., Robust stability of positive continuous time systems, Numer. Funct. Anal. Optim., 17 (1996), 649–659.
    • (1996) Numer. Funct. Anal. Optim. , vol.17 , pp. 649-659
    • Son, N.K.1    Hinrichsen, D.2
  • 18
    • 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 Math. Vietnam., 24 (1999), 353–372.
    • (1999) Acta Math. Vietnam. , vol.24 , pp. 353-372
    • Son, N.K.1    Ngoc, P.H.A.2
  • 19
    • 3843151051 scopus 로고    scopus 로고
    • Robust stability of linear functional differential equations
    • Son, N. K. and Ngoc, P. H. A., Robust stability of linear functional differential equations, Adv. Stud. Contemp. Math. 3 (2001), 43–59.
    • (2001) Adv. Stud. Contemp. Math. , vol.3 , pp. 43-59
    • Son, N.K.1    Ngoc, P.H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.