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Volumn 226, Issue 1, 1998, Pages 82-100

Robust Stability ofC0-Semigroups and an Application to Stability of Delay Equations

Author keywords

Perturbation; stability radius, robust stability; infinite dimensional linear systems; stability of delay equations; functional differential equations

Indexed keywords


EID: 0002310050     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6077     Document Type: Article
Times cited : (20)

References (21)
  • 1
    • 0002115425 scopus 로고
    • Linear functional-differential equations as semigroups on product spaces
    • Burns J. A., Herdman T. L., Stech H. W. Linear functional-differential equations as semigroups on product spaces. SIAM J. Math. Anal. 14:1983;98-116.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 98-116
    • Burns, J.A.1    Herdman, T.L.2    Stech, H.W.3
  • 3
    • 0038031078 scopus 로고
    • Representation of solutions and stability of linear differential-difference equation in a Banach space
    • Datko R. Representation of solutions and stability of linear differential-difference equation in a Banach space. J. Differential Equations. 29:1978;105-166.
    • (1978) J. Differential Equations , vol.29 , pp. 105-166
    • Datko, R.1
  • 4
    • 84870910659 scopus 로고
    • Spectral theory for contraction semigroups on Hilbert spaces
    • Gearhart L. Spectral theory for contraction semigroups on Hilbert spaces. Trans. Amer. Math. Soc. 236:1978;385-394.
    • (1978) Trans. Amer. Math. Soc. , vol.236 , pp. 385-394
    • Gearhart, L.1
  • 5
    • 0022889209 scopus 로고
    • Stability radius for structured perturbations and the algebraic Riccati equation
    • Hinrichsen D., Pritchard A. J. Stability radius for structured perturbations and the algebraic Riccati equation. Systems Control Lett. 8:1986;105-113.
    • (1986) Systems Control Lett. , vol.8 , pp. 105-113
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 6
    • 0000241112 scopus 로고
    • Real and complex stability radii: A survey
    • D. Hinrichsen, & B. Martensson. Basel/Boston/Berlin: Birkhäuser
    • Hinrichsen D., Pritchard A. J. Real and complex stability radii: a survey. Hinrichsen D., Martensson B. Control of Uncertain Systems. 1990;119-162 Birkhäuser, Basel/Boston/Berlin.
    • (1990) Control of Uncertain Systems , pp. 119-162
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 7
    • 0028538786 scopus 로고
    • Robust stability of linear evolution operators on Banach spaces
    • Hinrichsen D., Pritchard A. J. Robust stability of linear evolution operators on Banach spaces. SIAM J. Control Optim. 32:1994;1503-1541.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 1503-1541
    • Hinrichsen, D.1    Pritchard, A.J.2
  • 8
    • 0039345858 scopus 로고
    • Semigroups and delay equations
    • Pitman Research Notes 152 H. Brezis, M. Crandall, & F. Kappel. London: Pitman
    • Kappel F. Semigroups and delay equations. Brezis H., Crandall M., Kappel F. Semigroups, Theory and Applications. Pitman Research Notes 152. II:1986;136-176 Pitman, London.
    • (1986) Semigroups, Theory and Applications , vol.2 , pp. 136-176
    • Kappel, F.1
  • 9
    • 0007504179 scopus 로고
    • Equivalence of functional-differential equations of neutral type and abstract Cauchy problems
    • Kappel F., Zhang K. P. Equivalence of functional-differential equations of neutral type and abstract Cauchy problems. Monatsh. Math. 101:1986;115-133.
    • (1986) Monatsh. Math. , vol.101 , pp. 115-133
    • Kappel, F.1    Zhang, K.P.2
  • 10
    • 0000177992 scopus 로고
    • Asymptotic behavior of one-parameter semigroups of positive operators
    • Kerscher W., Nagel R. Asymptotic behavior of one-parameter semigroups of positive operators. Acta Appl. Math. 2:1984;297-309.
    • (1984) Acta Appl. Math. , vol.2 , pp. 297-309
    • Kerscher, W.1    Nagel, R.2
  • 11
    • 0001327593 scopus 로고
    • Positivity and stability for Cauchy problems with delay
    • Berlin/Heidelberg/New York/Tokyo: Springer-Verlag. p. 216-235
    • Kerscher W., Nagel R. Positivity and stability for Cauchy problems with delay. Partial Differential Equations. Lecture Notes in Math, 1324. 1988;Springer-Verlag, Berlin/Heidelberg/New York/Tokyo. p. 216-235.
    • (1988) Partial Differential Equations Lecture Notes in Math, 1324
    • Kerscher, W.1    Nagel, R.2
  • 14
    • 38249038624 scopus 로고
    • Optimal control of linear retarded systems in Banach spaces
    • Nagakiri S. Optimal control of linear retarded systems in Banach spaces. J. Math. Anal. Appl. 120:1986;169-210.
    • (1986) J. Math. Anal. Appl. , vol.120 , pp. 169-210
    • Nagakiri, S.1
  • 15
    • 84972579491 scopus 로고
    • Structural properties of functional differential equations in Banach spaces
    • Nagakiri S. Structural properties of functional differential equations in Banach spaces. Osaka J. Math. 25:1988;353-398.
    • (1988) Osaka J. Math. , vol.25 , pp. 353-398
    • Nagakiri, S.1
  • 16
    • 0004011167 scopus 로고
    • One-Parameter Semigroups of Positive Operators
    • Berlin/Heidelberg/New York/Tokyo: Springer-Verlag
    • Nagel R. One-Parameter Semigroups of Positive Operators. Springer Lecture Notes in Mathematics 1184. 1986;Springer-Verlag, Berlin/Heidelberg/New York/Tokyo.
    • (1986) Springer Lecture Notes in Mathematics 1184
    • Nagel, R.1
  • 17
    • 0003262790 scopus 로고    scopus 로고
    • The asymptotic behavior of semigroups of linear operators
    • Basel/Boston/Berlin: Birkhäuser Verlag
    • van Neerven J. M. A. M. The asymptotic behavior of semigroups of linear operators. Operator Theory: Advances and Applications. 1996;Birkhäuser Verlag, Basel/Boston/Berlin.
    • (1996) Operator Theory: Advances and Applications
    • Van Neerven, J.M.A.M.1
  • 20
    • 84968492827 scopus 로고
    • Existence and stability for partial functional differential equations
    • Travis C. C., Webb G. F. Existence and stability for partial functional differential equations. Trans. Amer. Math. Soc. 200:1974;395-418.
    • (1974) Trans. Amer. Math. Soc. , vol.200 , pp. 395-418
    • Travis, C.C.1    Webb, G.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.