The technique of splitting operators in perturbation control theory

Michail M. Konstantinov; Petko Hr. Petkov; Nikolaĭ D. Hristov

Kybernetika (2005)

  • Volume: 41, Issue: 1, page [15]-32
  • ISSN: 0023-5954

Abstract

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The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the pole assignment problem in particular, as well as other basic problems in control theory and linear algebra.

How to cite

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Konstantinov, Michail M., Petkov, Petko Hr., and Hristov, Nikolaĭ D.. "The technique of splitting operators in perturbation control theory." Kybernetika 41.1 (2005): [15]-32. <http://eudml.org/doc/33736>.

@article{Konstantinov2005,
abstract = {The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the pole assignment problem in particular, as well as other basic problems in control theory and linear algebra.},
author = {Konstantinov, Michail M., Petkov, Petko Hr., Hristov, Nikolaĭ D.},
journal = {Kybernetika},
keywords = {perturbation analysis; canonical forms; feedback synthesis; perturbation analysis; canonical form; feedback synthesis},
language = {eng},
number = {1},
pages = {[15]-32},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The technique of splitting operators in perturbation control theory},
url = {http://eudml.org/doc/33736},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Konstantinov, Michail M.
AU - Petkov, Petko Hr.
AU - Hristov, Nikolaĭ D.
TI - The technique of splitting operators in perturbation control theory
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 1
SP - [15]
EP - 32
AB - The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the pole assignment problem in particular, as well as other basic problems in control theory and linear algebra.
LA - eng
KW - perturbation analysis; canonical forms; feedback synthesis; perturbation analysis; canonical form; feedback synthesis
UR - http://eudml.org/doc/33736
ER -

References

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  9. Konstantinov M. M., Petkov P. Hr., Christov N. D., Gu D. W., Mehrmann V., Sensitivity of Lyapunov equations, In: Advances in Intelligent Systems and Computer Science (N. E. Mastorakis, ed.). WSES Press, 1999, pp. 289–292 (1999) 
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  14. Petkov P. Hr., Christov N. D., Konstantinov M. M., Computational Methods for Linear Control Systems, Prentice–Hall, New York 1991 Zbl0790.93001
  15. Petkov P. Hr., Christov N. D., Konstantinov M. M., Sensitivity of orthogonal canonical forms for single-input systems, In: Proc. 22nd Spring Conference of UBM, Sofia 1992, pp. 66–73 (1992) 
  16. Petkov P. Hr., Christov N. D., Konstantinov M. M., Perturbation analysis of orthogonal canonical forms and pole assignment for single-input systems, In: Proc. 2nd European Control Conference, Groningen 1993, pp. 1397–1400 (1993) 
  17. Petkov P. Hr., Christov N. D., Konstantinov M. M., Perturbation controllability analysis of linear multivariable systems, Preprints 12th IFAC World Congress, Sydney 1993, pp. 491–494 (1993) 
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