×

Distributed parameter system identification. A survey. (English) Zbl 0405.93012


MSC:

93B30 System identification
93C20 Control/observation systems governed by partial differential equations
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] MCGILLEN C. D., Continuous and Discrete Signal and Systems Analysis (1974)
[2] ZADEH L. A., Proc. IRE 50 pp 856– (1962)
[3] BELLMAN R., Math.Biosc 7 pp 329– (1970)
[4] BUTKOVSKIY A. G., Autom. & Rem. Control 36 (5) pp 703– (1975)
[5] BUTKOVSKIY , A. G. –”The Theory of Block Structures of Distributed Parameter Systems” 6th IF AC Congress , Boston/Cambridge , part A1 , p- 1.5 , Aug. 1975 .
[6] ÅSTRÖM K. J., Automatica 7 (2) pp 123– (1971) · Zbl 0219.93004
[7] BARAS J. S., IEEE Trans. Autom. Control 19 (6) pp 693– (1974) · Zbl 0291.93006
[8] FUHRMANN P. A., Math. Syst. Theory 8 (2) pp 138– (1974) · Zbl 0302.93010
[9] BARAS J. S., SI AM J. Control 13 (1) pp 221– (1975) · Zbl 0297.93010
[10] CURTAIN R. F., SI AM Review 17 (3) pp 395– (1975) · Zbl 0308.60022
[11] WANG P. K. C., Advances in Control Systems 1 (1964)
[12] KOZHINSKIY O. S., Autom. & Rem. Control 27 (8) pp 1409– (1966)
[13] BUTKOVSKIY A. G., Distributed Control Systems (1969) · Zbl 0197.42204
[14] FORSYTHE G. E., Finite-Difference Methods for Partial Differential Equations” (1960) · Zbl 0099.11103
[15] DOUGLAS J., Advances in Computer 2 (1961)
[16] Fox L., Numerical Solutions of Ordinary and Partial Differential Equations (1962) · Zbl 0101.09904
[17] BABUŠKA J., Numerical Processes in Differential Equation (1966)
[18] COLLATZ L., The Numerical Treatment of Differential Equations (1966)
[19] COLLATZ L., Functional Analysis and Numerical Mathematics (1966) · Zbl 0148.39002
[20] ISAACSON E., Analysis of Numerical Methods (1966) · Zbl 0168.13101
[21] AMES W. F., Numerical Methods for Partial Differential Equations (1969) · Zbl 0219.35007
[22] MITCHELL A. R., Computational Methods in Partial Differential Equations (1969) · Zbl 0191.45201
[23] SMITH G. D., Numerical Solution of Partial Differential Equations (1969)
[24] VON ROSENBERG D. U., Methods for Numerical Solution of Partial Differential Equations (1969) · Zbl 0194.18904
[25] BLUM E. K., Numerical Analysis and Computation Theory and Practice (1972) · Zbl 0273.65001
[26] DESAI R. C., Identification Techniques (1972)
[27] KAGIWADA H. H., System Identification Methods and Applications (1974) · Zbl 0282.93014
[28] BUTKOVSKIY A. G., SI AM J. Control 6 (3) pp 437– (1968) · Zbl 0162.40304
[29] ROBINSON A. C., Automatica 7 (3) pp 371– (1971) · Zbl 0218.49001
[30] MILSUM J. H., Biological Control Systems Analysis (1966)
[31] STOLZ G., Trans. ASME, J. Heat Transfer 82 (1) pp 20– (1960)
[32] FRANK J., Trans. ASME, J. Heat Transfer 85 (4) pp 378– (1963)
[33] BUBGGRAF O. R., Trans. ASME, J. Heat Transfer 86 (3) pp 373– (1964)
[34] SPARROW E. M., Trans. ASME, J. Appl. Mech. 31 (3) pp 369– (1964) · Zbl 0142.37102
[35] BECK J. V., Trans. ASME, J. Heat Transfer 85 (2) pp 181– (1963)
[36] BECK J. V., Dept. of Mech. Eng. (1964)
[37] BECK J. V., 3rd Int. Heat Transfer Conf. pp 301– (1966)
[38] BECK J. V., Int. J. Heat & Mass Transfer 10 pp 1615– (1967)
[39] BECK J. V., Nud. Eng. Design 1 pp 170– (1968)
[40] BECK J. V., Int. J. Heal & Mass Transfer 13 pp 703– (1970)
[41] BECK J. V., Trans. ASME, J. BasicEng. 92 (2) pp 215– (1970)
[42] ANGEL E., J. Math. Anal. & Appl 30 (1) pp 86– (1970) · Zbl 0192.45201
[43] JONES , B. F. , Jr.–” The Determination of a Coefficient in a ParabolicDifferential Equation ”, Ph.D. Thesis , Rice University , 1961 .
[44] JONES B. F., J. Math. & Mech. 11 (6) pp 907– (1962)
[45] DOUGLAS J., J. Math.& Mech. 11 (6) pp 919–926– (1962)
[46] JONES B. F., Gomm. Pure & Appl. Math. 16 (1) pp 33–44– (1963)
[47] CANNON J. R., Int. J. Eng. ScL 1 (4) pp 453– (1963)
[48] CANNON J. R., Int. J. Eng. Sci. 1 (4) pp 457– (1963)
[49] CANNON J. R., Duke Math. J. 30 pp 313– (1963) · Zbl 0117.06901
[50] CANNON J. R., J. Math. Anal. & Appl. 8 (2) pp 188–201– (1964) · Zbl 0131.32104
[51] CANNON J. R., J. Math.Anal. A Appl. 18 (1) pp 112– (1967) · Zbl 0151.15901
[52] BELLMAN R., J. Math. Anal.& Appl. 23 (1) pp 173– (1968)
[53] CLEMENTS W. C., Che.ni. Eng.Sci. 24 pp 957– (1969)
[54] CANNON J. R., SI AM J. Appl. Math. 24 (3) pp 392– (1973) · Zbl 0252.35034
[55] DREIFKE G. E., Joint Autom. Control Conf. pp 452– (1963)
[56] SANATHANAN C. K., IEEE Trans. Autom. Control 11 (4) pp 724– (1966)
[57] WILLIAMS J. A., Ind. & Eng. Chem. Fundamentals 9 (2) pp 193– (1970)
[58] JUMARIE G., 3rd IF AC Symp. on Ident. &Syst. Param. Est. pp 649– (1973)
[59] KOZHINSKIY O. S., IF AC Symp. on the. Control of D.P.S. pp 13.5– (1971)
[60] RAJBMAN N. S., 3rd IF ACSymp. on Ident. & Syst. Param. Est. pp 1– (1973)
[61] RAJBMAN N. S., Automatioa 12 (1) pp 73– (1976) · Zbl 0315.93007
[62] GOODSON R. E., in Identification of Parameters inDistributed Systems pp 1– (1974)
[63] GOODSON R. E., 6th IF AC Congress 1 pp 8.2– (1975)
[64] POLIS M. P., Proc. IEEE 64 (1) pp 43– (1976)
[65] PERDREAUVILLE , F. J. –” Identification of Systems Described by PartialDifferential Equations ”, Ph.D. Thesis , Purdue University , Jan . 1966 .
[66] PERDREAUVILLE F. J., Trans. ASME, J. BasicEng. 88 (2) pp 463– (1966)
[67] SHINBROT M., NACA Tech. Notes pp 3288– (1954)
[68] LOEB J. M., IEEE Trans. Autom. Control 10 (4) pp 359– (1965)
[69] TAKAYA K., IEEE Trans. Autom. Control 13 (4) pp 446– (1968)
[70] ZHIVOOLYADO V. P., Autom. & Rem. Control 27 (10) pp 1702– (1966)
[71] ZHIVOGLYADOV V. P., IF AC Symp. on Ident. of Autom. Control Syst. pp 3.5– (1967)
[72] ZHIVOGLYADOV V. P., IF AC Symp. on Ident. dh Proc. Param. Est. (1970)
[73] ZHIVOGLYADOV V. K., IF AC Symp. on the Control of D.P.S. pp 13.1– (1971)
[74] COLLINS , P. L. , Jr.– ”Identification of Distributed Parameter Systems Using Finite–Differences ” , Ph.D. Dissertation , Montana State University , March 1968 .
[75] COLLINS P. L., Trans. ASME, J. Basic Eng. 91 (2) pp 239– (1969)
[76] SEINFELD J. H., Chem. Eng. Sci. 24 (1) pp 65– (1969)
[77] SEINFELD J. H., Chem. Eng. Sci. 26 (6) pp 753– (1971)
[78] CHEN W. H., Int. J. Control 15 (3) pp 487– (1972) · Zbl 0227.93025
[79] CHEN W. H., 48th Ann. Meet. Soc. Petroleum Eng. (1973)
[80] SEINFELD J. H., Identification of Parameters in Distributed Systems pp 69– (1974)
[81] CHEN , W. H. – ” Estimation of Parameters in Partial Differential Equations–With Application to Petroleum Reservoir Description ” , Ph.D. Thesis , California Institute of Technology , 1974 .
[82] HWANG M., J. Math.Anal. & Appl. 39 (1) pp 49– (1972) · Zbl 0204.47403
[83] GOODSON R. E., IEEE Trans. Autom. Control 15 (2) pp 165– (1970)
[84] Yu T. K., IEEE Trans. Autom. Control 16 (15) pp 495– (1971)
[85] SAKAWA Y., SIAM J. Control 13 (1) pp 14– (1975) · Zbl 0296.93006
[86] TZAFESTAS S. G., Int. J. Control 11 (4) pp 619–624– (1970)
[87] TZAFESTAS S. G., Int. J. Control 13 (1) pp 145– (1971) · Zbl 0211.18302
[88] FAIRMAN F. W., Int. J. Control 11 (6) pp 929– (1970) · Zbl 0195.43804
[89] KANTOROVICH L. V., Approximate Methods of HigherAnalysis (1994)
[90] LESER T., Recent Soviet Contributions to Mathematics (1962)
[91] HICKS J. S., J. Assoc. Computer Mach. 14 (3) pp 549– (1967) · Zbl 0183.18202
[92] CARPENTER W. T., The Identification of Distributed Parameter Systems (1969)
[93] WOZNY M. J., IEEE Trans. Autom. Control 14 (4) pp 422– (1969)
[94] CARPENTER W. T., Trans. A8ME, J. Dyn. Syst., Meas. & Control 93 (2) pp 73– (1971)
[95] COURANT R., Methods of Mathematical Physics (1962) · Zbl 0099.29504
[96] GARABIDEAN P. R., Partial Differential Equations (1964)
[97] RUBAN A. I., Eng. Cybernetics 9 (6) pp 1137– (1971)
[98] POLIS , M. P. – ” On Problems of Parameter Identification for Distributed Parameter Systems with Results Using Galerkin’s Criterion ”, Ph.D. Thesis , Purdue University , 1972 .
[99] POLIS M. P., IF AC Symp. on the Control of DPS pp 13.2– (1971)
[100] POLIS M. P., IEEE Dec. & Control Conf. pp 391– (1972)
[101] POLLS M. P., Automatica 9 (1) pp 53– (1973)
[102] MIKHLIN S. G., Variational Methods in Mathematical Physics (1964) · Zbl 0119.19002
[103] MIKHLIN S. G., Approximate Methods for Solutions of Differential and Integral Equations (1967) · Zbl 0159.20702
[104] FALKENBURG , D. R. – ” The Identification of Distributed Parameter Systems ”, Ph.D. Thesis , Case Western Reserve University, 1971 .
[105] DIPILLO G., J. Optim. Theory & Appl. 11 (1) pp 84– (1973) · Zbl 0238.93016
[106] DIPILLO G., 3rd IF AC Symp. on Ident. & Syst. Param. Est. pp 687– (1973)
[107] BALAKRISHNAN A. V., J. Computer & Syst. Sci. pp 102– (1968) · Zbl 0186.22401
[108] HAMZA M. H., Automatica 9 (6) pp 689– · Zbl 0269.93016
[109] BHAGAVAN B. K., IEEE Trans. Autom. Control 18 (6) pp 677– (1973) · Zbl 0272.93006
[110] MOROZ P. A., Cybernetics 8 (2) pp 340– (1974)
[111] REISSENWBBER B., .Regelungstechnik 23 (4) pp 127– (1975)
[112] KUBRUSLY C. S., Int. J. Control 25 (3) pp 441– (1977) · Zbl 0351.93030
[113] KUBRUSLY , C. S. – ” Identification for Distributed Parameter Systems ”, Ph.D. Thesis , Control Theory Centre, University of Warwick , Feb . 1976 .
[114] DIAMESSIS S. E., IF AC Symp. on the Control of D.P.S. pp 13.4– (1971)
[115] DIAMESSIS S. E., NATO Conf. on Net. & Signal Theory pp 275– (1972)
[116] DIAMESSIS S. E., Tech. Chron. (5) pp 400– (1973)
[117] DIAMESSIS S E., Joint Autom. Control Conf. pp 451– (1974)
[118] LTTCKINBILL D. L., IF AC Symp. on the Control of D.P.S. pp 13.3– (1971)
[119] SHERRY H., 3rd IF AC Symp. on Ident. & Syst. Param. Est. pp 671– (1973)
[120] SHRIDHAR M., 3rd IF AC Symp. on Ident. ds Syst. Param. Est. pp 787– (1973)
[121] AHLBERG J. H., The Theory of Splines and Their Applications (1967) · Zbl 0158.15901
[122] Theory and Applications of Spline Functions (1969)
[123] JAKSTAS , K. – ” Identification and Estimation of Distributed Parameter Systems ”, Ph.D. Thesis , Illinois Institute of Technology , 1972 .
[124] CHATTDHTTRI S. P., 6th Hawaii Inter. Conf. on Syst. Sci. pp 49– (1973)
[125] CHAVENT , G. – ” Analyse Fonctionelle et Identification de Coefficients Repartis dans les Equation aux Derivees Partielles ”, These Doctorat d’Etat es Sciences , Paris , 1971 .
[126] CHAVENT , G. – ” Sur une Methode de Resolution du Probleme Inverse dans les Equation aux Derivees Partielles Parabolique ”, Note CRAS Paris, T-260 , Dec . 1969 .
[127] CHAVENT , G. – ” Deux Resultats sur le Probleme Inverse dans les Equation aux Derivees Partielles de 2eme Orde en t et sur l’Unicite de la Solution du Probleme de la Diffusion ”, Note CRAS Paris, T-270, Jan . 1970 .
[128] CHAVENT G., Bull, de VAcad. Polonaise des Sci. 18 (3) pp 99– (1970)
[129] CHAVENT H., IMA Bull (1970)
[130] CILLIGOT-TRAVAIN , G. – ” Estima/bion Bayesienne et Identification des Systemes Gouvernes par des Equation aux Derivees Partielles ”, These Docteur Ingenieur , Paris , 1970 .
[131] CHAVENT G., 3rd IF AC Symp. on Ident. & Syst. Param. Est. pp 649– (1973)
[132] CHAVENT G., 48th Ann. Meet. Soc. Petroleum Eng. pp 4627– (1973)
[133] CHAVENT G., Appl. Math. & Optim. 1 (2) pp 121– (1974) · Zbl 0291.35049
[134] CUAVENT G., Comp. Meth. in Appl. Sci. & Eng. 11 (1974)
[135] CHAVENT G., Identification of Parameters in Distributed Systems pp 31– (1974) · Zbl 0331.93068
[136] BALAKRISHNAN , A. V. – ” Identification of Systems Subject to Random State Disturbances ”, 5th IFIP Conf. on Optim. Tech.–Part I, Lecture Notes in Computer Science , Vol. 3 , Springer-Verlag , 1973 . · Zbl 0272.93010
[137] BALAKRISHNAN , A. V. – ”Identification-Inverse Problems for Partial Differential Equations A Stochastic Formulation” , 6th JFIP Conf. on Optim. Tech., Lecture Notes in Computer Science , Vol. 27 , Springer-Verlag , 1975 . · Zbl 0313.93025
[138] BALAKRISHNAN A. V., IMA Conf. on Stoch. Control & Comp. Modelling (1974)
[139] LAVRENTIEV , M. M. , ROMANOV , V. G. , and VASILIEV , V. G. – Multi-dimensional Inverse Problems for Differential Equations , Lecture Notes in Mathematics , Vol. 167 , Springer-Verlag , 1970 . · Zbl 0208.36403
[140] MARCHUK , G. – ” Perturbation Theory and the Statement of Inverse Problems ”, 5th IFIP Conf. on Optim. Tech.–Part III, Lecture Notes in Computer Science , Vol. 4 , Springer-Verlag , 1973 . · Zbl 0288.65033
[141] LIONS J. L., Controle Optimal de Systemes Gouvernés par des Équations aux Dérivées Partielles (1968)
[142] ALVARADO F. L., Int. J. System Sci. 1 (2) pp 173– (1970) · Zbl 0206.15102
[143] WARD , E. D. – ” Identifications of Parameters in Nonlinear Boundary Conditions of Distributed Systems with Linear Fields ”, Ph.D. Thesis , Purdue University , Aug. 1971 .
[144] WARD E. D., Trans. ASME, J. Dyn. Syst., Meas. & Control 95 (4) pp 391– (1973)
[145] LEE , H. E. – ” Identification and Optimal Control of Stochastic Distributed-Parameter Systems ”, Ph.D. Thesis , University of Pennsylvania , 1970 .
[146] CANNON J. R., SIAM J. Numer. Anal. 5 (2) pp 275– (1968) · Zbl 0176.15403
[147] IKEDA S., Int. J. System Sci. 5 (8) pp 707– (1974)
[148] WOZNY M. J., IEEE Trans. Autom. Control 15 (1) pp 155– (1970)
[149] MACLEOD C. J., Electronics Letters 12 (1) pp 29– (1976)
[150] SARIDIS , G. N. , and BADAVAS , P. C. – ” Identification of Distributed Parameter Systems by Stochastic Approximation ”, 7th Symp. on Adapt. Processes , University of California , Berkeley , pp. 5.a.1 – 5.a.5 , Dec . 1968 .
[151] SARIDIS G. N., IEEE Trans. Autom. Control 15 (3) pp 393– (1970)
[152] PHILLIPSON G., 4th I F A C Congress pp 34– (1969)
[153] PHILLIPSON G. A., Identification of Distributed Parameter Systems (1971) · Zbl 0221.93003
[154] KLEIN , R. E. , METZ , L. D. , and HOGG , G. L. – ” Identification via Orthogonality for a Class of Hyperbolic Distributed Parameter Processes ”, IEEE Dec. & Control Conf. , New Orleans , p. 101 , Dec. 1972 .
[155] VEMUBI V., Water Resources Res 5 (1) pp 172– (1969)
[156] DIMEO , F. N. , Sr.–” Identification of a System Represented by a Distributed Parameter Analog Employing Steady State Techniques ”, Ph.D. Thesis , University of Pennsylvania , 1969 .
[157] STRANO , J. J. –” The Application of Learning Model Optimization to the Identification of Distributed Parameters Determination of Aortic Parameters from Pressure Transfer Functions ”, Ph.D. Thesis , Rutgers , The State University , 1969 .
[158] THOMAS , R. H. –” The Identification and Control of Hyperbolic Distributed Process ”, Ph.D. Thesis , University of Wisconsin , 1970 .
[159] WISMER D. A., Automatica 6 (1) pp 77– (1970)
[160] DALE , B. O. –” Multiparameter Identification and Optimization Methods for Linear Continuous Vibratory Systems ”, Ph.D. Thesis , Purdue University , Jan. 1970 .
[161] DALE B. O., Trans. ASMS, J. Dyn. Syst., Meas. & Control 93 (1) pp 45– (1971)
[162] LEE E. S., Water Resources Bull 7 (1) pp 102– (1971)
[163] LEE S. E., J. Water Pollut. Control Fed 43 (2) pp 306– (1971)
[164] JACKSON D. R., Water Resources Bull 7 (3) pp 457– (1971)
[165] STERNBERG Y. M., Water Resources Bull 7 (3) pp 447– (1971)
[166] KLEINECKE D., Water Resources Res 7 (2) pp 367– (1971)
[167] GILATH C., Int. J. Appl. Rod. & Isotopes 22 pp 671– (1971)
[168] GILATH C., IAEA Symp. on the Use oj Nucl. Tech. in the Meas. & Control on Env. Pollution pp 483– (1971)
[169] ROMAN , W. S. –” Parameter Identification in Nuclear Reactor Systems ”, Ph.D. Thesis , University of Virginia , 1971 .
[170] YEH W. W-G., J. Hydrol 12 (2) pp 117– (1971)
[171] YEH W. W-G., Water Resources Res 7 (2) pp 375– (1971)
[172] YEH W. W-G., Water Resources Res 7 (4) pp 955– (1971)
[173] VENETIS C., J. Hydrol 12 pp 161– (1971)
[174] Koivo A. J., Water Resources Res 7 (4) pp 853– (1971)
[175] Koivo A. J., Water Resources Res 8 (2) pp 478– (1972)
[176] TAM , W. C. –” Digital Simulation Languages for Distributed Parameter System Identification ”, Ph.D. Dissertation , Dept. of Eng., University of California , Los Angeles , June 1972 .
[177] PILKEY W. D., ASME Monogr (1972)
[178] LEDEN B., Symp. on Ident. & Syst. Param. Est., The Hague/Delft pp 639– (1973)
[179] BECKER L., Water Resources Res 8 (4) pp 956– (1972)
[180] BECKER L., Water Resources Res 9 (2) pp 326– (1973)
[181] MARINO M. A., ASCE, J. Hidraul. Div 99 (2) pp 319– (1973)
[182] MALPANI S. N., Canadian J. Ckem. Eng 50 (6) pp 791– (1972)
[183] MALPANI S. N., Canadian J. Ckem. Eng 51 (4) pp 479– (1973)
[184] PrNDER G. F., Water Resources Res 9 (1) pp 222– (1973)
[185] ANTSYPOVICH I. S., Eng. Cybernetics 11 (2) pp 325– (1973)
[186] SIIASTRY J. S., ASCE, J. Environ. Eng. Div 99 (2) pp 315– (1973)
[187] LIN , A. C. –” Optimal Identification of Aquifer Parameters in a Distributed System ” , Ph.D. Thesis , University of California , Los Angeles , 1973 .
[188] LIN A. C., Water Resources Res. 10 (4) pp 829– (1974)
[189] BRUCH J. C., Water Resources Res. 10 (1) pp 73– (1974)
[190] HUGHES , R. D. – ” Parameter Identification of Vibrating Second Order Hyperbolic Distributed Systems ” , Ph.D. Thesis , University of Illinois atUrbana , 1974 .
[191] SPALDING , G. R. – ” A Green’s Function Approach to the Identification of Linear Distributed-Parameter Systems ” , Ph.D. Thesis , Lehigh University , 1974 .
[192] SOKOLLIK F., Mess.Steuern Regeln 17 (8) pp 271– (1974)
[193] CONTINENTE G., I F A C Conf. in Multiv. Tech. Systems pp F18/1.10– (1974)
[194] BENNET R. J., Identification of Parametersin Distributed Systems pp 91– (1974)
[195] COHEN R., Identification of Parameters in Distributed Systems pp 49– (1974)
[196] HAYES , R. A. – ” Parameter Identification of Nonuniform Distributed RC Networks ” , Ph.D. Thesis , University of Missouri , Rolla , 1974 .
[197] NUTBROWN D. A., Water Resources Res. 11 (4) pp 581– (1975)
[198] OHSUMI A., Trans. Soc. Instrum. & Control Eng. 11 (5) pp 533– (1975)
[199] YIH S.–M., Water Resources Res. 11 (5) pp 693– (1975)
[200] AZIZ A. K., The Mathematical Foundation of the Finite Element Method with Applications to Partial Differential Equation (1972)
[201] SCHULTZ M. H., Spline Analysis (1973) · Zbl 0333.41009
[202] STRANG G., An Analysis of the Finite Element Method (1973) · Zbl 0356.65096
[203] ATHENS M.–, IEEE Trans. Autom. Control 15 (2) pp 245– (1970)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.