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It is with the aid of the Lyapunov method that stochastic ordinary differential equations and stochastic functional differential equations have been investigated intensively in the past decades. However, for stochastic reaction diffusion equations, this useful technique seems to feel helpless on account of the emptiness of its own Ito’s formula. To get over this difficulty, we will manage to regard...
In order to model a wheeled mobile robot (WMR) system to improve its maneuverability in a real environment, wheel dynamics, which may violate no-slipping and pure rolling constraints, needs to be studied. In this paper, wheel dynamics with slip is modeled and introduced into the robot overall dynamics. Wheel slip phenomenon is captured and at the same time accommodated. Considering both lateral and...
In this paper, the L2 performance rule is adopted to deal with the interference of the visual servoing system which affects image feature points. The system output disturbance is limited to gamma. The controller which includes the camera translational and rotational velocities is designed. In the case of unknown object depth, an adaptive nonlinear control scheme is used to estimate the pointspsila...
This work is devoted to exponential stability in mean square of neutral stochastic partial differential systems with distributed delay. On the basis of Fubini theorem, some useful corresponding criteria are given by applying Ito differential formula to the constructed average Lyapunov function with respect to spatial variables. This technology is far different from the general method when the considered...
In this paper, a class of neutral stochastic partial differential systems with parameter uncertainties is discussed and some useful criteria are given for exponential stability in mean square by adopting the method of indirectly applying Ito differential formula to the constructed average Lyapunov function with respect to the spatial variables, namely, it is under the integral operator that Ito differential...
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