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Volumn 68, Issue 1, 2008, Pages 12-23

Optimality condition of the nonlinear impulsive system in fed-batch fermentation

Author keywords

Fed batch fermentation; Nonlinear impulsive system; Optimal control; Optimality condition

Indexed keywords

FERMENTATION; GLYCEROL; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS;

EID: 34848859588     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.10.027     Document Type: Article
Times cited : (37)

References (15)
  • 2
    • 0001616522 scopus 로고
    • On the stability of motion in the presence of impulses
    • Mil'man V.D., and Myshkis A.D. On the stability of motion in the presence of impulses. Siberian Math. J. 2 (1960) 233-237
    • (1960) Siberian Math. J. , vol.2 , pp. 233-237
    • Mil'man, V.D.1    Myshkis, A.D.2
  • 3
    • 34848887304 scopus 로고    scopus 로고
    • V.D. Mil'man, A.D. Myshkis, Random Impulses in Linear Dynamical System in Approximate Methods of Solution Differential Equations, Academy of Science of the Ukrainian SSR, 1963, pp. 64-81
  • 4
    • 0034135745 scopus 로고    scopus 로고
    • Optimization problems for one-impulsive models from population dynamics
    • Angelova J., and Dishliev A. Optimization problems for one-impulsive models from population dynamics. Nonlinear Anal. 39 (2000) 483-497
    • (2000) Nonlinear Anal. , vol.39 , pp. 483-497
    • Angelova, J.1    Dishliev, A.2
  • 5
    • 0003049949 scopus 로고    scopus 로고
    • Existence, uniqueness and boundedness results for impulsive delay differential equations
    • Ballinger G., and Liu X. Existence, uniqueness and boundedness results for impulsive delay differential equations. Appl. Anal. 74 (2000) 71-93
    • (2000) Appl. Anal. , vol.74 , pp. 71-93
    • Ballinger, G.1    Liu, X.2
  • 6
    • 1542356794 scopus 로고    scopus 로고
    • The global solutions of impulsive functional differential equations in Banach spaces
    • Fu X., and Yan B. The global solutions of impulsive functional differential equations in Banach spaces. Nonlinear Stud. 1 (2000) 1-17
    • (2000) Nonlinear Stud. , vol.1 , pp. 1-17
    • Fu, X.1    Yan, B.2
  • 7
    • 0037670186 scopus 로고    scopus 로고
    • Nonlinear impulsive systems on infinite dimensional spaces
    • Ahmed N.U., Teo K.L., and Hou S.H. Nonlinear impulsive systems on infinite dimensional spaces. Nonlinear Anal. 54 (2003) 907-925
    • (2003) Nonlinear Anal. , vol.54 , pp. 907-925
    • Ahmed, N.U.1    Teo, K.L.2    Hou, S.H.3
  • 8
    • 77950428343 scopus 로고
    • Properties and biodegradability of polyesters based on 1,3-propanediol
    • Witt U., and Mueller R.J. Properties and biodegradability of polyesters based on 1,3-propanediol. Macromol. Chem. Phys. 195 (1994) 793-802
    • (1994) Macromol. Chem. Phys. , vol.195 , pp. 793-802
    • Witt, U.1    Mueller, R.J.2
  • 9
    • 0010006207 scopus 로고    scopus 로고
    • Mathematical modelling of kinetics and research on multiplicity of glycerol bioconversion to 1,3-propanediol
    • Xiu Z., Zeng A., and An L. Mathematical modelling of kinetics and research on multiplicity of glycerol bioconversion to 1,3-propanediol. J. Dalian Univ. Technol. 40 (2000) 428-433
    • (2000) J. Dalian Univ. Technol. , vol.40 , pp. 428-433
    • Xiu, Z.1    Zeng, A.2    An, L.3
  • 10
    • 0042477577 scopus 로고    scopus 로고
    • Stoichiometric analysis and experimental investigation of glycerol bioconversion to 1,3-propanediol by Klebsiella pneumoniae under microaerobic conditions
    • Xi C., and Zhilong X. Stoichiometric analysis and experimental investigation of glycerol bioconversion to 1,3-propanediol by Klebsiella pneumoniae under microaerobic conditions. Enzyme Microbial Technol. 33 (2003) 386-394
    • (2003) Enzyme Microbial Technol. , vol.33 , pp. 386-394
    • Xi, C.1    Zhilong, X.2
  • 11
    • 36849023777 scopus 로고    scopus 로고
    • Proposition and optimality condition of nonlinear dynamic system for microorganisms continuous culture
    • Xiaohong L., Enmin F., and Zhilong X. Proposition and optimality condition of nonlinear dynamic system for microorganisms continuous culture. J. Engrg. Math. 23 (2006) 7-12
    • (2006) J. Engrg. Math. , vol.23 , pp. 7-12
    • Xiaohong, L.1    Enmin, F.2    Zhilong, X.3
  • 12
    • 25144484855 scopus 로고    scopus 로고
    • Nonlinear impulsive system of microbial production in fed-batch culture and its optimal control
    • Gao C., Lang Y., Feng E., and Xiu Z. Nonlinear impulsive system of microbial production in fed-batch culture and its optimal control. J. Appl. Math. Comput. 19 (2005) 203-214
    • (2005) J. Appl. Math. Comput. , vol.19 , pp. 203-214
    • Gao, C.1    Lang, Y.2    Feng, E.3    Xiu, Z.4
  • 13
    • 21244505496 scopus 로고    scopus 로고
    • Gao Caixia, Feng Enmin, Xiu Zhilong, Nonlinear impulsive system of fed-batch in fermentation productive and its parameter identification, in: 2004 8th International Conference on Control, Automation, Robotics and Vision, Kunming, 2004, pp. 2159-2163
  • 14
    • 34848861213 scopus 로고    scopus 로고
    • Huiyuan Wang, Jinghua Han, Lijuan Shen, Zhilong Xiu, Optimal control of the nonlinear impulsive system and application in fermentation, in: Second International Conference on Impulsive Dynamical Systems and Applications, Wuxi, 2005, pp. 114-119


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.