V. A. Sobolev, D. M. Shchepakin, “Integral manifolds and the reduction principle”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, Issue 5(86),Pages <nobr>81

Mathematics

Integral manifolds and the reduction principle

V. A. Sobolev^a, D. M. Shchepakin^b

^a Dept. of Differential Equations and Theory of Management, Samara State University, Samara, 443011, Russian Federation
^b Dept. of Differential Equations and Theory of Management, Samara State University, Samara, 443011, Russian Federation

Abstract: The paper is devoted to the application of geometric decomposition method to the order reduction of problems of stability under persistent disturbances and input-to-state stability.

Keywords: integral manifolds, reduction principle, stability under persistent disturbances, input-to-state stability.

UDC: 519.999

Received: 22.03.2011
Revised: 22.03.2011