Cone-bounded feedback laws for linear second order systems

The strong stabilizability of linear second order equation is investigated in this paper. It supposed that there exists a feedback law makes the origin closed-loop system globally asymptotically stable. Then control subject to cone-bounded nonlinearity. Well-posedness and stability results under such (nonlinear) are stated. first result proven by using nonlinear semigroups techniques Schauder fixed-point theorem one based on Marx et al. [12]. Our then applied particular damped undamped wave equation. Simulation presented validate theoretical results. Note some paper apply for large class systems.