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Volumn 323, Issue 1, 2006, Pages 146-161

Sensitivity of dynamical systems to Banach space parameters

Author keywords

Approximation; Delay differential equations; Sensitivity equations

Indexed keywords


EID: 33748128938     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.09.084     Document Type: Article
Times cited : (16)

References (45)
  • 1
    • 0022711503 scopus 로고
    • Sensitivity analysis of discrete structural systems
    • Adelman H.M., and Haftka R.T. Sensitivity analysis of discrete structural systems. AIAA J. 24 (1986) 823-832
    • (1986) AIAA J. , vol.24 , pp. 823-832
    • Adelman, H.M.1    Haftka, R.T.2
  • 2
    • 0018544572 scopus 로고
    • Approximation of nonlinear functional differential equation control systems
    • Banks H.T. Approximation of nonlinear functional differential equation control systems. J. Optim. Theory Appl. 29 (1979) 383-408
    • (1979) J. Optim. Theory Appl. , vol.29 , pp. 383-408
    • Banks, H.T.1
  • 3
    • 21244477603 scopus 로고    scopus 로고
    • A parameter sensitivity methodology in the context of HIV delay equation models
    • CRSC-TR02-24, NCSU, August, 2002
    • Banks H.T., and Bortz D.M. A parameter sensitivity methodology in the context of HIV delay equation models. J. Math. Biol. 50 (2005) 607-625 CRSC-TR02-24, NCSU, August, 2002
    • (2005) J. Math. Biol. , vol.50 , pp. 607-625
    • Banks, H.T.1    Bortz, D.M.2
  • 4
    • 21244465975 scopus 로고    scopus 로고
    • Inverse problems for a class of measure dependent dynamical systems
    • CRSC-TR04-33, NCSU, September, 2004
    • Banks H.T., and Bortz D.M. Inverse problems for a class of measure dependent dynamical systems. J. Inverse and Ill-Posed Probl. 13 (2005) 103-121 CRSC-TR04-33, NCSU, September, 2004
    • (2005) J. Inverse and Ill-Posed Probl. , vol.13 , pp. 103-121
    • Banks, H.T.1    Bortz, D.M.2
  • 5
    • 0037401144 scopus 로고    scopus 로고
    • Incorporation of variability into the mathematical modeling of viral delays in HIV infection dynamics
    • Banks H.T., Bortz D.M., and Holte S.E. Incorporation of variability into the mathematical modeling of viral delays in HIV infection dynamics. Math. Biosci. 183 (2003) 63-91
    • (2003) Math. Biosci. , vol.183 , pp. 63-91
    • Banks, H.T.1    Bortz, D.M.2    Holte, S.E.3
  • 6
    • 11244306938 scopus 로고    scopus 로고
    • Modeling and imaging techniques with potential for application in bioterrorism
    • Bioterrorism: Mathematical Modeling Applications in Homeland Security (Chapter 6). Banks H.T., and Castillo-Chavez C. (Eds), SIAM, Philadelphia
    • Banks H.T., Bortz D.M., Pinter G.A., and Potter L.K. Modeling and imaging techniques with potential for application in bioterrorism. In: Banks H.T., and Castillo-Chavez C. (Eds). Bioterrorism: Mathematical Modeling Applications in Homeland Security (Chapter 6). Front. Appl. Math. vol. FR28 (2003), SIAM, Philadelphia 129-154
    • (2003) Front. Appl. Math. , vol.FR28 , pp. 129-154
    • Banks, H.T.1    Bortz, D.M.2    Pinter, G.A.3    Potter, L.K.4
  • 7
    • 14544307365 scopus 로고    scopus 로고
    • Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
    • CRSC-TR04-01, NCSU, January, 2004
    • Banks H.T., and Gibson N.L. Well-posedness in Maxwell systems with distributions of polarization relaxation parameters. Appl. Math. Lett. 18 (2005) 423-430 CRSC-TR04-01, NCSU, January, 2004
    • (2005) Appl. Math. Lett. , vol.18 , pp. 423-430
    • Banks, H.T.1    Gibson, N.L.2
  • 8
    • 0001331423 scopus 로고
    • Spline approximations for functional differential equations
    • Banks H.T., and Kappel F. Spline approximations for functional differential equations. J. Differential Equations 34 (1979) 496-522
    • (1979) J. Differential Equations , vol.34 , pp. 496-522
    • Banks, H.T.1    Kappel, F.2
  • 10
    • 0000504387 scopus 로고    scopus 로고
    • Identification of hysteretic control influence operators representing smart actuators, part I: Formulation
    • Banks H.T., Kurdila A.J., and Webb G. Identification of hysteretic control influence operators representing smart actuators, part I: Formulation. Math. Probl. Eng. 3 (1997) 287-328
    • (1997) Math. Probl. Eng. , vol.3 , pp. 287-328
    • Banks, H.T.1    Kurdila, A.J.2    Webb, G.3
  • 11
    • 0031153647 scopus 로고    scopus 로고
    • Identification of hysteretic control influence operators, part II: Convergent approximations
    • Banks H.T., Kurdila A.J., and Webb G. Identification of hysteretic control influence operators, part II: Convergent approximations. J. Intell. Mat. Syst. Struct. 8 (1997) 536-550
    • (1997) J. Intell. Mat. Syst. Struct. , vol.8 , pp. 536-550
    • Banks, H.T.1    Kurdila, A.J.2    Webb, G.3
  • 12
    • 33748195274 scopus 로고    scopus 로고
    • H.T. Banks, N.G. Medhin, G.A. Pinter, Multiscale considerations in modeling of nonlinear elastomers, J. Comp. Meth. Sci. Eng., in press, CRSC-TR03-42, NCSU, October, 2003
  • 13
    • 11244278702 scopus 로고    scopus 로고
    • Nonlinear reptation in molecular based hysteresis models for polymers
    • CRSC-TR03-45, NCSU, December, 2003
    • Banks H.T., Medhin N.G., and Pinter G.A. Nonlinear reptation in molecular based hysteresis models for polymers. Quart. Appl. Math. 62 (2004) 767-779 CRSC-TR03-45, NCSU, December, 2003
    • (2004) Quart. Appl. Math. , vol.62 , pp. 767-779
    • Banks, H.T.1    Medhin, N.G.2    Pinter, G.A.3
  • 14
    • 33748209353 scopus 로고    scopus 로고
    • H.T. Banks, H.K. Nguyen, Sensitivity of dynamical systems to Banach space parameters, CRSC-TR05-13, NCSU, February, 2005
  • 15
    • 21844464834 scopus 로고    scopus 로고
    • A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue
    • CRSC-TR04-03, NCSU, January, 2004
    • Banks H.T., and Pinter G.A. A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue. SIAM J. Multiscale Modeling and Simulation 3 (2005) 395-412 CRSC-TR04-03, NCSU, January, 2004
    • (2005) SIAM J. Multiscale Modeling and Simulation , vol.3 , pp. 395-412
    • Banks, H.T.1    Pinter, G.A.2
  • 17
    • 33748131951 scopus 로고    scopus 로고
    • L.M.A. Bettencourt, A. Cintron-Arias, D.I. Kaiser, C. Castillo-Chavez, The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models, preprint No. LAUR-05-0485, Los Alamos National Laboratory, January, 2005
  • 18
    • 21344476293 scopus 로고
    • Sensitivity and uncertainty analysis of complex models of disease transmission: An HIV model as an example
    • Blower S.M., and Dowlatabadi H. Sensitivity and uncertainty analysis of complex models of disease transmission: An HIV model as an example. Internat. Statist. Rev. 62 (1994) 229-243
    • (1994) Internat. Statist. Rev. , vol.62 , pp. 229-243
    • Blower, S.M.1    Dowlatabadi, H.2
  • 22
    • 0003508646 scopus 로고
    • Cruz J.B. (Ed), Dowden, Hutchinson & Ross, Stroudsberg, PA
    • In: Cruz J.B. (Ed). System Sensitivity Analysis (1973), Dowden, Hutchinson & Ross, Stroudsberg, PA
    • (1973) System Sensitivity Analysis
  • 23
    • 0027065554 scopus 로고
    • Smooth nonparametic maximum likelihood estimation for population pharmacokinetics, with application to quinidine
    • Davidian M., and Gallant A.R. Smooth nonparametic maximum likelihood estimation for population pharmacokinetics, with application to quinidine. J. Pharm. Biopharm. 20 (1992) 529-556
    • (1992) J. Pharm. Biopharm. , vol.20 , pp. 529-556
    • Davidian, M.1    Gallant, A.R.2
  • 24
    • 0000447977 scopus 로고
    • The nonlinear mixed effects model with a smooth random effects density
    • Davidian M., and Gallant A.R. The nonlinear mixed effects model with a smooth random effects density. Biometrika 80 (1993) 475-488
    • (1993) Biometrika , vol.80 , pp. 475-488
    • Davidian, M.1    Gallant, A.R.2
  • 30
    • 33748130584 scopus 로고
    • Springer-Verlag, Berlin
    • Krasnoselskii M., and Pokrovskii A. Systems with Hysteresis (1989), Springer-Verlag, Berlin
    • (1989)
    • Krasnoselskii, M.1    Pokrovskii, A.2
  • 31
    • 0000525359 scopus 로고
    • The geometry of mixture likelihoods: A general theory
    • Lindsay B.G. The geometry of mixture likelihoods: A general theory. Ann. Statist. 11 (1983) 86-94
    • (1983) Ann. Statist. , vol.11 , pp. 86-94
    • Lindsay, B.G.1
  • 32
    • 0003286354 scopus 로고
    • Mixture Models: Theory, Geometry and Applications
    • Inst. Math. Stat., Haywood, CA
    • Lindsay B.G. Mixture Models: Theory, Geometry and Applications. NSF-CBMS Regional Conf. Ser. Probab. Statist. vol. 5 (1995), Inst. Math. Stat., Haywood, CA
    • (1995) NSF-CBMS Regional Conf. Ser. Probab. Statist. , vol.5
    • Lindsay, B.G.1
  • 33
    • 0001700822 scopus 로고
    • A maximum likelihood estimation method for random coefficient regression models
    • Mallet A. A maximum likelihood estimation method for random coefficient regression models. Biometrika 73 (1986) 645-656
    • (1986) Biometrika , vol.73 , pp. 645-656
    • Mallet, A.1
  • 35
    • 1842459742 scopus 로고
    • Generalized curves
    • McShane E.J. Generalized curves. Duke Math J. 6 (1940) 513-536
    • (1940) Duke Math J. , vol.6 , pp. 513-536
    • McShane, E.J.1
  • 36
    • 0001519160 scopus 로고
    • Relaxed controls and variational problems
    • McShane E.J. Relaxed controls and variational problems. SIAM J. Control 5 (1967) 438-484
    • (1967) SIAM J. Control , vol.5 , pp. 438-484
    • McShane, E.J.1
  • 37
    • 33748128153 scopus 로고    scopus 로고
    • Saltelli A., Chan K., and Scott E.M. (Eds), Wiley, New York
    • In: Saltelli A., Chan K., and Scott E.M. (Eds). Sensitivity Analysis. Wiley Ser. Probab. Statist. (2000), Wiley, New York
    • (2000) Wiley Ser. Probab. Statist.
  • 38
    • 0040555774 scopus 로고
    • Optimal control theory for nonlinear vector differential equations containing measures
    • Schmaedeke W.W. Optimal control theory for nonlinear vector differential equations containing measures. SIAM J. Control 3 (1965) 231-280
    • (1965) SIAM J. Control , vol.3 , pp. 231-280
    • Schmaedeke, W.W.1
  • 39
    • 0015405814 scopus 로고
    • Modeling of individual pharmacokinetics for computer-aided drug dosage
    • Sheiner L.B., Rosenberg B., and Melmon K. Modeling of individual pharmacokinetics for computer-aided drug dosage. Comp. Biomed. Res. 5 (1972) 441-459
    • (1972) Comp. Biomed. Res. , vol.5 , pp. 441-459
    • Sheiner, L.B.1    Rosenberg, B.2    Melmon, K.3
  • 40
    • 50549155049 scopus 로고
    • Relaxed variational problems
    • Warga J. Relaxed variational problems. J. Math. Anal. Appl. 4 (1962) 111-128
    • (1962) J. Math. Anal. Appl. , vol.4 , pp. 111-128
    • Warga, J.1
  • 41
    • 0040031004 scopus 로고
    • Functions of relaxed controls
    • Warga J. Functions of relaxed controls. SIAM J. Control 5 (1967) 628-641
    • (1967) SIAM J. Control , vol.5 , pp. 628-641
    • Warga, J.1
  • 43
    • 3843137924 scopus 로고
    • Models and Sensitivity of Control Systems
    • Elsevier Science, New York
    • Wierzbicki A. Models and Sensitivity of Control Systems. Stud. Automat. Control vol. 5 (1984), Elsevier Science, New York
    • (1984) Stud. Automat. Control , vol.5
    • Wierzbicki, A.1
  • 44
    • 0001331327 scopus 로고
    • Generalized curves and the existence of an attained absolute minimum in the calculus of variations
    • Young L.C. Generalized curves and the existence of an attained absolute minimum in the calculus of variations. C. R. Soc. Sci. Lett., Varsovie, Cl. III 30 (1937) 212-234
    • (1937) C. R. Soc. Sci. Lett., Varsovie, Cl. III , vol.30 , pp. 212-234
    • Young, L.C.1
  • 45
    • 51249195243 scopus 로고
    • Necessary conditions in the calculus of variations
    • Young L.C. Necessary conditions in the calculus of variations. Acta Math. 69 (1938) 239-258
    • (1938) Acta Math. , vol.69 , pp. 239-258
    • Young, L.C.1


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