Lukyanova T. Lyapunov and Lagrange sufficient stability conditions for discrete-time systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U002844

Thesis Registration Form

0402U002844.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

08-10-2002

Specialized Academic Board

Д 26.166.01

S.P.Timoshenko Institute of Mechanics

Essay

The object is large-scale discrete-time systems of general form, uncertain large-scale quasilinear and neural discrete-time systems; the aim is to develop a direct Lyapunov method for large-scale discrete-time systems; the methods are method of decomposition and method of hierarchical Lyapunov functions; the new approach lies in development of method of hierarchical Lyapunov functions for large-scale discrete-time systems; the results are sufficient conditions of motion (global) asymptotic stability, instability and hierarchical connective stability for large-scale discrete-time systems of general form, new sufficient conditions under which solutions of uncertain quasilinear discrete-time systems are exponantial stable and quadratically bounded.

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Files

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