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 f...

The rapid growth of space utilization requires extensive construction, and maintenance of space structures and satellites in orbit. &#10This will, in turn, substantiate application of robotic systems in space. In this paper, a near-minimum-time optimal control law is developed for a rigid space platform with flexible links during an orientating maneuver with large angle of rotation. The time op...

Internal positivity offers a computationally cheap certificate for external (input-output) of linear time-invariant system. However, the drawback with this lies in its realization dependency. First, computing such requires finding polyhedral cone potentially high number extremal generators that lifts dimension state-space representation, significantly. Second, not all externally positive system...

By introducing the second order Krylov subspace, a method for the reduction of second order systems is proposed leading to a reduced system of the same structure. This generalization of Krylov subspace involves two matrices and some starting vectors and the reduced order model is found by applying a projection directly to the second order model without any conversion to state space. A numerical...