Aliluyko A. Stability analysis, stabilization and comparision of dynamic systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000281

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

15-01-2008

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Algebraic methods for stability investigation of positive dynamic systems (differential, difference and differential delay systems) are developed. The generalized comparison principle is formulated for a set of differential systems. Methods for positive stabilization of dynamic systems with respect to cones are offered. The constructed new matrix conditions of stability analysis and stabilization algorithms for the second order linear differential systems are applied in rotational mechanical systems.

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