Automatica, Vol.50, No.7, 1915-1921, 2014
Absolute stability of the Kirchhoff string with sector boundary control
This paper addresses the stability problem of the nonlinear Kirchhoff string with nonlinear boundary control. The nonlinear boundary control is the negative feedback of the transverse velocity of the string at one end, which satisfies a sector constraint. Employing the integral type multiplier method, we establish explicit absolute exponential stability of the Kirchhoff string system. (C) 2014 Elsevier Ltd. All rights reserved.