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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2011 Issue 4, Pages 14–23 (Mi ivpnz594)

Mathematics

Stabilization of a multiply connected controlled hybrid dynamic system with non-overlapping decompositions

E. A. Lizina, V. N. Shchennikov

Mordovia State University named after N. P. Ogaryov, Saransk

Abstract: Multivariable controlled hybrid dynamic system with don't overlap decomposition, for which the piecewise-constant controllers stabilizing positions of balance of specified systems are found, are investigated. Here hybrid systems are understood as systems of differential equations in which controller is piecewise continuous.

Keywords: multivariable controlled hybrid dynamic system, asymptotic stability, stabilization.

UDC: 517.977.1



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