Time-variant Darlington synthesis and induced realizations
International Journal of Applied Mathematics and Computer Science (2001)
- Volume: 11, Issue: 6, page 1331-1360
- ISSN: 1641-876X
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top- Arov D.Z. (1971): Darlington’s method for dissipative systems. — Dokl. Akad. Nauk SSSR, Vol.201, No.3, pp.559–562; English translation: Soviet Physics Doklady, Vol.16, No.11, pp.954–956. Zbl0246.47035
- Arov D.Z. (1979): Stable dissipative linear stationary dynamical scattering systems. — J. Oper. Theory, Vol.2, No.1, pp.95–126 (in Russian). Zbl0461.47005
- Arov D.Z. (1985): Linear stationary passive systems with losses. — 2-nd doctoral dissertation, Phys. Math. Sci., Institute of Mathematics, Akad. Nauk Ukr. SSR, Kiev.
- Arov D.Z., Kaashoek M.A. and Pik D.R. (1998): Optimal time-variant systems and factorization of operators, I: Minimal and optimal systems. — Int. Eqns. Oper. Theory, Vol.31, No.4, pp.389–420. Zbl0927.47006
- Arov D.Z., Kaashoek M.A. and Pik D.R. (2000): Optimal time variant systems and factorization of operators, II: Factorization. — J. Oper. Theory, Vol.43, No.2, pp.263–294. Zbl0992.47008
- Belevitch V. (1968): Classical Network Theory. — San Francisco: Holden-Day. Zbl0172.20404
- Constantinescu T. (1995): Schur Parameters, Factorizations and Dilation Problems. — Basel: Birkhäuser.
- Dewilde P. (1971): Roomy scattering matrix synthesis. — Tech. Rep., Dept. of Mathematics, Univ. of California, Berkeley.
- Dewilde P. (1999): Generalized Darlington Synthesis. — IEEE Trans. Circ. Syst., 1: Fund. Theory Appl., Vol.46, No.1, pp.41–58. Zbl0991.93040
- Dewilde P. and Van der Veen A. (1998): Time-Varying Systems and Computations. — Boston: Kluwer Academic Publishers. Zbl0937.93002
- Douglas R.G. and William Helton J. (1973): Inner dilations of analytic matrix functions and Darlington synthesis. — Acta Sci. Math. (Szeged), Vol.34, pp.61–67. 1360 Zbl0267.30032
- Douglas R.G., Shapiro A.L., and Shields A.L. (1970): Cyclic vectors and invariant subspaces for the backward shift. — Ann. Inst. Fourier (Grenoble), Vol.20, No.1, pp.37–76. Zbl0186.45302
- Foias C., Frazho A.E., Gohberg I. and Kaashoek, M.A. (1998); Metric Constrained Interpolation, Commutant Lifting and Systems. — Basel: Birkhäuser.
- Gohberg I., Kaashoek M.A. and Lerer L. (1992): Minimality and realization of discrete time- variant systems, In: Time-variant Systems and Interpolation (I. Gohberg, Ed.). — Basel: Birkhäuser, pp.261–296. Zbl0747.93054
- Halanay A. and Ionescu V. (1994): Time-Varying Discrete Linear Systems, Input-Output Operators, Riccati Equations, Disturbance Attenuation. — Basel: Birkhäuser. Zbl0799.93035
- Kaashoek M.A. and Pik D.R. (1998): Factorization of lower triangular unitary operators with finite Kronecker index into elementary factors, In: Recent Progress in Operator Theory, International Workshop on Operator Theory and Applications, IWOTA 95, Regensburg, Germany, July 31–August 4, 1995 (I. Gohberg, R. Mennicken, C. Tretter, Eds.). — Basel: Birkhäuser, pp.183–217. Zbl0906.47010
- Pik D.R. (1999): Block lower triangular operators and optimal contractive systems. — Ph.D. Thesis, Vrije Universiteit Amsterdam, Amsterdam.