... 21, No. 2, pp. 396ґ417 c 1999 Society for Industrial and Applied Mathematics TRANSFORMATION OF FAMILIES OF MATRICES TO NORMAL FORMS AND ITS APPLICATION TO STABILITY THEORY ALEXEI A. MAILYBAEV Abstract. Families of matrices smo othly dep ending on a vector of parameters are considered. ... Derivatives of these functions with resp ect to parameters are determined from a recurrent pro cedure using derivatives of the functions of lower orders and derivatives of the family of matrices. ... Theorem 2.4. ...

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• http://mailybaev.imec.msu.ru/papers/KuznetsovEtAl2008.pdf
• http://mailybaev.imec.msu.ru/papers/MarchesinMailybaev2005.pdf
• http://mailybaev.imec.msu.ru/papers/Mailybaev2001b.pdf

... The laser system in which an optoelectronic negative feedback is realized by means of a signal reflected from an intracavity Pockels cell polarizer is proposed and tested. The design provides flexible control over pulse train time structure. ... Stable self -mode-locking occurs due to time delay in feedback control system corresponding to light pulse passage through the Pockels cell at the moment of low intracavity losses. ... The scheme of discontinuous control in the laser is shown in Fig. ...

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• http://miles.sinp.msu.ru/files/Instr&Exp_Tech_Engl.pdf

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