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The Kalman‐Yakubovich Lemma for non‐stationary systems and its applications
Author(s) -
Savkin A. V.
Publication year - 1992
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480060313
Subject(s) - lemma (botany) , control theory (sociology) , lyapunov function , mathematics , kalman filter , hamiltonian system , linear system , hamiltonian (control theory) , exponential stability , computer science , mathematical analysis , mathematical optimization , nonlinear system , physics , artificial intelligence , ecology , statistics , quantum mechanics , poaceae , control (management) , biology
An existence problem for non‐stationary Lyapunov functions is considered. This problem is connected according to a certain rule with the linear Hamiltonian system that is called adjoint. We apply this method to obtain conditions of absolute stability and adaptive stabilization for non‐linear non‐stationary systems.