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PERTURBATION ANALYSIS OF COUPLED MATRIX RICCATI EQUATIONS
Mihail Konstantinov* Vera Angelova** Petko Petkov***
Dawei Gu**** Vassilios Tsachouridis†
* University of Architecture and Civil Engineering, 1 Hr.
Smirnenski Blvd., 1421 Sofia, Bulgaria,
e-mail: mmk_fte@uacg.acad.bg
** Institute of Information Technologies, Akad. G. Bonchev Str.,
Bl. 2, 1113 Sofia, Bulgaria, e-mail: vera@bgcict.acad.bg
*** Department of Automatics, Technical University of Sofia,
1756 Sofia, Bulgaria, e-mail: php@mbox.digsys.bg
**** Department of Engineering, University of Leicester, Leicester
LE1 7RH, England, e-mail:dag@le.ac.uk
† Department of Engineering, University of Leicester, Leicester
LE1 7RH, England, e-mail:vt10@le.ac.uk
Local and non-local perturbation bounds for real continuous-time coupled algebraic matrix Riccati equations are derived using the technique of Lyapunov majorants and fixed point principles. Equations of this type arise in the robust analysis and design of linear control systems.
Keywords: Perturbation analysis, Riccati equations, Robust control
Session slot T-Tu-E15: Robust Control III/Area code 2e : Robust Control
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