Устойчивость и стабилизация нелинейных непрерывных и дискретных неопределённых систем с помощью модального подхода.

Ирина Ефремовна Зубер, Аркадий Хаимович Гелиг

Research output: Contribution to journalArticle

Abstract

In this paper we consider the system of differential equations for which the elements of object matrix are functions of the system state and time. These functions are perturbed by uncertain functionals. Using the spectral decomposition of the object matrix and the Lyapunov quadratic function with unit matrix we obtain the sufficient conditions of global exponential stability of the system considered. The similar system is studied in the case of scalar control, on the assumption that the distribution vector depends on the state. Using the modal approach in the condition of the uniform controllability we perform the synthesis of scalar control which provides the global exponential stability of closed loop system. Analogous results are obtained for discrete nonlinear uncertain systems with the same structure.
Original languageRussian
Pages (from-to)23-32
JournalДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ
Issue number1
StatePublished - 2019
Externally publishedYes

Cite this