Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Synthesis of Stabilizing Control by Output for One Class of Nonlinear Systems With Lagging Argument

Author(s):

I. E. ZUBER

Saint-Petersburg State University,
Department of Theoretical cybernetics,
28 Universitetskaya str., 198504 St. Petersburg, RUSSIA,

zuber@EZ7332.spb.edu

Abstract:

One class of the nonlinear systems with a lagging argument is considered. The sufficient conditions of an existence of stabilizing control by scalar output are found as the conditions of existence exponentially stable observer for considered system. The explicit form of stabilizing control is found. Thr received solution of stabilization problem is based on the special form of similarity transformation.

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