zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Fast projection methods for minimal design problems in linear system theory. (English) Zbl 0458.93025

MSC:
93C05Linear control systems
93C35Multivariable systems, multidimensional control systems
93B20Minimal systems representations
93B40Computational methods in systems theory
WorldCat.org
Full Text: DOI
References:
[1] Anderson, B. D. O.; Scott, R. W.: Parametric solution of the stable exact model matching problem. IEEE trans. Aut. contr. 22, 137-138 (1977) · Zbl 0346.93036
[2] Bierman, G. J.: Factorization methods for discrete sequential estimation. (1977) · Zbl 0372.93001
[3] Bitmead, R. R.; Kung, S. -Y.; Anderson, B. D. O.; Kailath, T.: Greatest common divisors via generalized Sylvester and Bezout resultants. IEEE trans. Aut. control 23, 1043-1047 (1978) · Zbl 0389.93008
[4] Dickinson, B.: Properties and applications of matrix fraction descriptions of linear systems. Ph.d. thesis (1974) · Zbl 0292.93004
[5] Jr., A. E. Eckberg: The role of canonical matrices in linear system theory. Proceedings of the eighth Princeton conference on information science and systems, 200 (1974)
[6] Jr., G. D. Forney: Minimal basis of rational vector spaces, with applications to multivariable systems. SIAM J. Control 13, 493-520 (1975) · Zbl 0269.93011
[7] Foster, L.: Minimal solutions to transfer equations. IEEE trans. Aut. control 22, 137-138 (1977)
[8] Foster, L.: A practical solution to the minimal design problem. Proceedings of the 1978 conference on information science and systems, 461-466 (1978)
[9] Gejji, R. R.; Sain, M. K.: Application of polynomial techniques to multivariable control of jet engines. Fourth IFAC symposium on multivariable technology and systems (1977)
[10] Kailath, T.; Vieira, A.; Morf, M.: Inverse of teoplitz operators, innovations, and orthogonal polynomials. SIAM rev. 20, 106-119 (1978) · Zbl 0382.47013
[11] Kailath, T.: Linear systems. (1980) · Zbl 0454.93001
[12] Kung, S. -Y.; Kailath, T.; Morf, M.: A fast projection method for canonical minimal realization. Proceedings of the 1976 IEEE conference on decision and control, 1301-1302 (1976)
[13] Kung, S. -Y.; Kailath, T.; Morf, M.: A generalized resultant matrix for polynomial matrices. Proceedings of the 1976 IEEE conference on decision and control, 892-895 (1976)
[14] Kung, S. -Y.; Kailath, T.; Morf, M.: Fast and stable algorithms for minimal design problems. Fourth IFAC symposium on multivariable technology and systems (1977)
[15] Kung, S. -Y.: Multivariable and multidimensional systems: analysis and design. Ph.d. thesis (1977)
[16] Levinson, N.: The Wiener RMS (root mean square) error criterion in filter design and prediction. J. math. Phys. 25, 261-278 (1947)
[17] Morf, M.: Fast algorithms for multivariable systems. Ph.d. thesis (1974) · Zbl 0317.62067
[18] Morse, A. S.: Minimal solutions to transfer equations. IEEE trans. Aut. control 2, 131-133 (1976) · Zbl 0321.93012
[19] Popov, V. M.: Some properties of control systems with matrix transfer function. Lecture notes in mathematics, 250-261 (1969)
[20] Sain, M. K.: A free-modular algorithm for minimal design of linear multivariable systems. Proceedings of the sixth triennial world congress, IFAC (1975)
[21] Wang, S. H.; Davison, E. J.: A minimization algorithm for the design of linear multivariable systems. IEEE trans. Aut. control 18, 220-225 (1973) · Zbl 0261.93010
[22] Wang, S. H.; Davison, E. J.: A minimization algorithm for the design of linear multivariable systems. Proc. 1973 JACC, 269-277 (1973) · Zbl 0261.93010
[23] Warren, M. E.; Jr., A. E. Eckberg: On the dimensions of controllability subspace: a characterization via polynomial matrices and kroneder invariants. Rept. ESL-R-5/2 (1973)
[24] Wolovich, W. A.; Antsaklis, P.; Elliott, H.: On the stability of solutions to minimal and nonminimal design problems. IEEE trans. Aut. control 20, 493-520 (1975) · Zbl 0346.93037
[25] Verghese, G. C.: Infinite-frequency behavior in generalized dynamical systems. Ph.d. thesis (1978)