In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new con...In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new control protocol called free protocol to describe this situation.First,we calculate consensus probabilities based on the information of the interaction networks.Then,sufficient conditions are obtained for all agents converging to a same value with probability one.Finally,numerical simulation results are given to verify the above results.展开更多
This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous...This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controller is derived. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. Moreover, a universal formula for constructing stabilizing controller is proposed and the existence of the corresponding Lyapunov function is proven. Particularly, a Lyapunov function is constructed for the polytopic nonlinear system in canonical form. Finally, the feasibility of the proposed control law is verified by a numerical example.展开更多
基金This work was supported by the National ＂Natural Science Foundation of China （61304155, 11371049）, and the Beijing Municipal Government Foundation for Talents （2012D005003000005）.
基金the National Natural Science Foundation of China(Grant No.61973329)the Beijing Natural Science Foundation,China(Grant No.Z180005)。
文摘In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new control protocol called free protocol to describe this situation.First,we calculate consensus probabilities based on the information of the interaction networks.Then,sufficient conditions are obtained for all agents converging to a same value with probability one.Finally,numerical simulation results are given to verify the above results.
文摘This paper deals with the problem of the stabilization for multi-input polytopic nonlinear systems. Based on the robust control Lyapunov function, a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controller is derived. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. Moreover, a universal formula for constructing stabilizing controller is proposed and the existence of the corresponding Lyapunov function is proven. Particularly, a Lyapunov function is constructed for the polytopic nonlinear system in canonical form. Finally, the feasibility of the proposed control law is verified by a numerical example.
