Saprikin S. Linear dissipative time-invariant scattering systems with state pk-spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U001295

Thesis Registration Form

0403U001295.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

25-03-2003

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The existence of minimal optimal and minimal *-optimal dissipative scattering systems is proved with an arbitrary holomorphic at zero transfer function from generalized Shur class. A problem of embedding of generalized Shur operator-function is investigated and necessary and sufficient is found conditions for Kalman-Yakubovich-Popov and Riccati inequalities to have a generalized selfadjoint solutions with finite negative spectrum.

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Files

aref.doc

diss.pdf

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