RT Journal Article ID 50096733755b4ff4 A1 Zuev, Alexander L. T1 Stabilization of Non-Autonomous Systems with Respect to a Part of Variables by Means of Controlled Lyapunov Functions JF Journal of Automation and Information Sciences JO JAI(S) YR 2000 FD 2000-10-01 VO 32 IS 10 SP 18 OP 25 K1 stabilization of non-autonomous systems K1 controlled Lyapunov function K1 ordinary differential equations K1 feedback K1 differential inclusion. AB The problem about stabilization of a non-autonomous system with respect to a part of variables by means of Lyapunov functions having a negatively defined lower boundary of derivatives is investigated. A theorem on stabilization of non-autonomous system in a sense of differential inclusions is proved. The theorem obtained extends Arstrein theorem to the case of partial stabilization. The constructive feedback design is proposed for linear in control non-autonomous systems provided that there exists a controlled Lyapunov function with respect to a part of variables. For the case of autonomous systems the theorem on partial stabilization under weaker conditions on Lyapunov function is proved. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,0a885c2067c467b0,50096733755b4ff4.html