Canonical matrix factorisation and polynomial Riccati equations

European Journal of Control

Volumn 3, Issue 1, 1997, Pages 47-67

  Barabanov, Andrey E ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Control theory; H ; Polynomial approach; Riccati equations; Spectral factorisation

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; MATRIX ALGEBRA; POLES AND ZEROS; POLYNOMIALS; RICCATI EQUATIONS;

ALGEBRAIC RICCATI EQUATIONS; MATRIX SINGULARITY; POLYNOMIAL MATRIX FACTORISATION; POLYNOMIAL RICCATI EQUATIONS;

CONTROL THEORY;

EID: 0030719683     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0947-3580(97)70061-x     Document Type: Article

References (21)

1. Al-Sabbagh MKh. Numerical methods in minimax control of dynamic plants. PhD Thesis. St-Petersburg State University, 1993
2. Barabanov AE, Pervozvanskij AA. Optimization of frequency-uniform criterion (H-theory). Avtomatika i telemekhanika 1992; 9: 3-32 (English translation in Autom and Remote Contr)
3. ∞ control problem with additional constraints. Arabian Journal for Science and Engineering (in press).
4. Callier FM. On polynomial matrix spectral factorization by symmetric extraction. IEEE Trans Autom Contr 1985; AC-30: 453-464
5. Callier FM, Desoer CA. Multivariable feedback systems. Springer, New York. 1982
6. Davis MS. Factoring the spectral matrix. IEEE Trans Autom Contr 1963; AC-8: 296-305
7. ∞ control problems. IEEE Trans Automat Contr 1989; AC-34 (8): 831-847
8. ∞, control theory. Lect. Notes in Contr and Info Sci 88; Springer, New York. 1987
9. Gelig AKh, Leonov GA, Yakubovich VA. Hyperstability of nonlinear systems with nonunique state of equilibrium. Moscow. 1978
10. ∞ optimization problem with sign-indefinite quadratic form. Proc Europ Contr Conf 1995 Rome, vol 1. pp 207-211
11. Gohberg I, Lancaster P, Rodman L. Factorization of selfadjoint matrix polynomials with constant signature. Linear and Multilinear Algebra 1982; 11: 209-224
12. Kwakernaak H. Minimax frequency domain performance and robustness optimization of linear feedback systems. IEEE Trans Autom Contr 1985; AC-30: 994-1004
13. ∞ control system optimization. University of Twente 1990. Memorandum 881
14. ∞-Control Theory. Lecture Notes in Math 1496. Springer, Berlin 1990; pp 142-221
15. Kwakernaak H, Sebek M. Polynomial J-spectral factorization. IEEE Trans Autom Contr 1994; AC-39 (2): 315-328
16. Liptser RSh, Shiriaev AN. Statistics of random processes. Moscow. 1974
17. Meinsma G. J-spectral factorization and equalizing vectors. Systems and Control Letters 1995; 25: 243-249
18. ∞ control. PhD Thesis. University of Twente (NL) Department of Applied Mathematics. 1993
19. Popov VM. Hyperstabilitatea sistemelor automate. Akademii Republicii Socialiste, Romania. 1966
20. Yakubovich VA. Factorization of symmetric matrix polynomials. Dokl Akad Nauk SSSR 1970; 194(3): 532-535
21. Yakubovich VA. On synthesis of optimal control in linear differential game on finite time interval with quadratic cost function. Dokl Akad Nauk SSSR 1971; 200(3): 548-551