This article is cited in 4 papers

Nonlinear Systems

Stabilization of solutions for nonlinear differential-algebraic equations

P. S. Petrenko, A. A. Shcheglova

Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

Abstract: We consider a nonlinear controllable system of first order ordinary differential equations that is unsolved with respect to the derivative of the unknown vector function and identically degenerate in the domain. We obtain stabilizability conditions by linear approximation of systems with scalar input. We admit an arbitrarily high unsolvability index. Our analysis is done under assumptions that ensure the existence of a global structural form that separates “algebraic” and “differential” subsystems.

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 13.08.2012

 English version: Automation and Remote Control, 2015, 76:4, 573–588

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