TY - JOUR

T1 - Stabilization of invariant sets for nonlinear non-affine systems

AU - Shiriaev, Anton S.

AU - Fradkov, Alexander L.

N1 - Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised from by Associate Editor Henk Nijmeijer under the direction of Editor Tamer Basar. The work was supported in part by RFBR (grant 99-01-00672), by the Russian Federal Program “Integration” (project A0151) and by the Norwegian Research Council.

PY - 2000/11

Y1 - 2000/11

N2 - The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and sufficient conditions of asymptotic stability of a goal set with the specified region of attraction are proposed. The proofs of the obtained results are based on the detailed analysis of the ω-limit sets of the closed-loop system with the speed-gradient (or `Jurdjevic-Quinn') controllers for `affinized' controlled system. Two illustrating examples are given.

AB - The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and sufficient conditions of asymptotic stability of a goal set with the specified region of attraction are proposed. The proofs of the obtained results are based on the detailed analysis of the ω-limit sets of the closed-loop system with the speed-gradient (or `Jurdjevic-Quinn') controllers for `affinized' controlled system. Two illustrating examples are given.

UR - http://www.scopus.com/inward/record.url?scp=0034325794&partnerID=8YFLogxK

U2 - 10.1016/S0005-1098(00)00077-7

DO - 10.1016/S0005-1098(00)00077-7

M3 - Article

AN - SCOPUS:0034325794

VL - 36

SP - 1709

EP - 1715

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 11

ER -