Slyn'ko V. The method of construction of matrix-value Lyapunov functions in the stability of motion theory

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U003489

Thesis Registration Form

0402U003489.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

29-10-2002

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The object is large-scale continous and discrete-time systems of general form; the aim is to develop a direct Lyapunov method for large-scale continuos and discrete-time systems; the methods are method of decomposition and method of matrix-valued Lyapunov functions; the new approach lies in development of construction of matrix-valued Lyapunov functions for large-scale continuos and discrete-time systems; the results are sufficient conditions of motion asymptotic stability, exponential multistability and x-multistability.

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