Browsing by Subject "Global asymptotic stability"
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Item Open Access On the boundary control of Kirchhoff's nonlinear string(IFAC, 2007) Morgül, Ömer; Shahruz, S. M.In this paper we propose two new classes of controllers which stabilize Kirchhoff's nonlinear string by using boundary control techniques. We assume that the boundary displacement is the only available measurement. The classes of controllers proposed in this paper are related to the positive real controllers. One of the classes generalizes a special class of such stabilizing controllers which is already proposed in the literature and the other one is new.Item Open Access Stability analysis of switched systems with time-varying discontinuous delays(IEEE, 2017) Mazenc, F.; Malisoff, M.; Özbay, HitayA new technique is proposed to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a recent trajectory based technique. The result is applied to a family of linear time-varying systems with time-varying delays.