Consider the system x˙ 1 = ϕ1(·) +ρ1xl+1,... x˙ m = ϕm(·) +ρmxn, x˙m+1 = ϕm+1(·) +u1,... x˙ n = ϕn(·) + ul, where x1,...,xn is state of the system, u1,...,ul are controls, n l is not integer and l ≥ 2. It is supposed that only outputs x1,...,xl are measurable (l< ρ− ≤ ρi(t, x1,...,xl) ≤ ρ+. With the help of backstepping method, we construct the square Lyapunov function and stabilize control for global exponential stability of closed loop system. The stabilization with the help of modulators with sufficiently elevated frequency of impulsation is also considered.
Translated title of the contributionThe synthesis of stabilization control by output for certain class of continuous and pulse modulated undefined systems
Original languageRussian
Pages (from-to)597-605
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
Volume5(63)
Issue number4
StatePublished - 2018

    Research areas

  • uncertain systems, output stabilization, global exponential stability

    Scopus subject areas

  • Applied Mathematics

ID: 36674994