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Convex direction with respect to a given Hurwitz polynomial f1(s) is a local version of convex direction given by Rantzer. In this paper, a new sufficient condition is given to judge and construct a convex direction with respect to f1(s).
From the viewpoint of computer control, the synchronization of nonlinear systems is investigated. The controlled synchronization problem with stair-step signal is presented. The synchronization error controlled by the stair-step signal is analyzed and it is proved with Lyapunov method that if the Euclid norm of the control signal is no more than the norm of the synchronization error times a constant,...
For a second-order nonholonomic constraint exists in underactuated surface vessel system, which makes thesystem not meet the Brockett's necessary condition, there is no continuously differentiable control law that can make the origin of the system asymptotically stable. After coordinate and feedback transformations, the stable feedback control laws are respectively proposed for two subsystems with...
The design of robust Hinfin controller for a class of uncertain neutral systems with varying state delay and input control delay is considered. The uncertainties are norm-bounded and the states of the uncertain neutral systems are available. Combining the linear matrix inequality with Lyapunov functions by proper assumption, the existent conditions of quadratic stabilization and Hinfin state feedback...
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