The system x˙ i = ϕi(·) + xi+2, i ∈ 1, n − 2, x˙ n−1 = ϕn−1(·) + u1, x˙ n = ϕn(·) + u2, where ϕi(·) are nonanticipating functionals of arbitrary nature with following properties |ϕi(·)| ≤ c Pi k=1 |xk(t)|, i ∈ 1, n, c = const, and u1 and u2 are stabilization, is considered. It is supposed that only outputs x1 and x2 are measurable. The problem of both continuous and impulsive stabilizations such u1, and u2 that make the system globally asymptotically stable is considered. The solution of this problem is based on constructing observed-based equations and quadratic Lyapunov function, and averaging method. Refs 9.
Translated title of the contributionStabilization by output continuous and pulse-modulated uncertain systems
Original languageRussian
Pages (from-to)577-585
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
Volume4(62)
Issue number4
StatePublished - 2017

    Research areas

  • uncertain systems stabilization, stabilization by output, global exponential stability, pulsemodulated systems

    Scopus subject areas

  • Applied Mathematics

ID: 34656641