@phdthesis{BJHTUP11_1985__0168__P0_0, author = {Bel, Liliane}, title = {Sur la r\'eduction des mod\`eles lin\'eaires : analyse de donn\'ees en automatique}, series = {Th\`eses d'Orsay}, publisher = {Universit\'e de Paris-Sud Centre d'Orsay}, number = {168}, year = {1985}, language = {fr}, url = {http://www.numdam.org/item/BJHTUP11_1985__0168__P0_0/} }
Bel, Liliane. Sur la réduction des modèles linéaires : analyse de données en automatique. Thèses d'Orsay, no. 168 (1985), 208 p. http://numdam.org/item/BJHTUP11_1985__0168__P0_0/
[1] On the computation of the Cauchy Index. Quaterly of applied Mathematics, January 1972. | MR | Zbl | DOI
, 1972.[2] Linear optimal control. Prentice Hall. | MR | Zbl
, , 1971.[3] Control of large scale systems by agrégation. IEEE TAC, AC-13, pp. 246-253.
, 1968.[4] Propriétés et structure des systèmes agrégés. Application au problème de la projection optimale. RAIRO Automatique vol. 12, n° 4, 1978, p. 377-390. | Zbl
, , 1978.[5] Elements of continuous multivariate analysis. Addison-Wesley, publishing Company. | Zbl
, 1969.[6] Etude de grands systèmes par modèle agrégé et méthode de perturbation. Thèse de Dr Ingénieur, Paris XI, 1981, 514.
, 1981.[7] Robustesse des systèmes non complètement observable. Contrat de Recherche n° 21460-4562.
, décembre 1983.[8] On the structure of balanced and Other Principal Representations of SISO systems. IEEE TAC, AC-28, n°2,p.228-231 | MR | Zbl
, , 1983.[9] On the Cauchy Index of Linear Systems. IEEE TAC, AC-28, n ° 2, p. 222-224. | MR | Zbl
, , 1983.[10] Singular value decomposition and least squares solutions Numer. Math. vol. 14, p. 403-420. | MR | Zbl | DOI
, , 1970.[11] Stochastic balancing and approximation. Stability and minimality. IEEE TAC, AC-29, n° 8, p. 744-746. | MR | Zbl
, , , 1984.[12] A Sew Set of Invariants for Linear Systems. Application to reduced order compensator design. IEEE TAC, AC-28, n°10, p. 953-964. | MR | Zbl
, , 1983.[13] A Comparison of the Balanced Matrix Method and the Aggregation Method of Model Reduction. IEEE TAC, AC-30, n° 3, p. 301-304. | MR | Zbl
,[14] Statistique et Informatique Appliquée. DUNOD 2nd édition.
, 1973.[15] Fonctions de Lyapounov aléatoires et stabilité stochastique. Outils et modèles mathématiques pour l'Automatique. Ed. R.C.P. du C.N.R.S. | Zbl
, 1980.[16] Approximation des systèmes complexes pour des modèles de dimension réduite. Thèse d'Etat, Paris XI, n° d'ordre 2121.
, 1979.[17] Principal Component Analysis in Linear Systems : controllability, Observability and Model Reduction. IEEE TAC, AC-26, n° 1, p. 17-31. | MR | Zbl
, 1981.[18] Model Reduction via Balanced State Representation. IEEE TAC, AC-27, n° 2, p. 382-387. | MR | Zbl
, , 1982.[19] Linear Statistical Inference and its Applications. John Wiley and Son. | MR | Zbl
, 1965.[20] Validation of Reduced Order Models for Control Systems Design. AIAA J. Guidance, vol. 5, n° 5, p. 430-437. | Zbl | DOI
, , 1982.[21] Complex Dynamic Systems : Stability, Control, and Reliability. Lecture Notes on Complex Dynamic Systems.
, 1981.[22] Large Scale Dynamic Systems : Stability and Structure. Math. Holland, New York. | Zbl
, 1978.[23] Sur la synthèse de lois de commande sous optimales par agrégation. Thèse d'Etat, Paris XI, n° d'ordre 514.
, 1978.[24] Lost Decomposition of Linear Systems with Application to Model Reduction. Internation. Journ. of Control, vol. 32 n° 6, p. 1039-1055. | MR | Zbl
, 1980.[25] Introduction to Matrix Computations. New York, Acad. Press. | MR | Zbl
, 1973.[26] On Generalized Balanced Realization. IEEE TAC, AC-28, p. 833-844. | MR | Zbl
, , 1983.[27] Upper and Lower Bounds on the Solution of the Algebraic Ricatti equation. IEEE TAC, AC-24, n° 3, p. 483-487. | MR | Zbl
, , 1979.