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This paper considers solving the tracking and stabilizing control problems of the Chen chaotic system with multiplicative inputs. By using the Zhang-gradient (ZG) method, which combines Zhang dynamics (ZD) and gradient dynamic (GD), a ZG controller is obtained for solving the problems above. Moreover, another new ZG controller is designed by using the ZG(More)
The population control of the Lotka-Volterra model is one of the most important and widely investigated issues in mathematical ecology. In this study, assuming that birth rate is controllable and using the Z-type dynamic method, we develop Z-type control laws to drive the prey population and/or predator population to a desired state to keep species away(More)
In this paper, the Zhang-gradient (ZG) method, which is a combination of Zhang dynamics (ZD) and gradient dynamics (GD) methods, is proposed for solving the tracking control problem of the multiple-input multiple-output (MIMO) system. Different from the traditional ZG method, GD is used additionally twice more in this paper to get through the derivation(More)
In this paper, the tracking control problem of a 3-input 3-output nonlinear system is investigated and solved. By adopting and generalizing Zhang-gradient (ZG) method, as the novel combination of Zhang dynamics (ZD) and gradient dynamics (GD), in a quite different way (i.e., with GD used additionally once more), a ZG controller group is designed and(More)
The Zhang-gradient (ZG) method has been proved to be powerful for control problems solving. In view of the boundedness and safety of practical actuators through limiting the input, the sigmoid function array (SFA) based ZG (SFABZG) controller, designed by the combination of the SFA and the ZG method, is proposed and investigated for output tracking of the(More)
Motors are fundamental and key components in the process of driving robotic arms. In this paper, the output-control problem of a robot 1-link-plus-motor-dynamics (1LpMD) system is investigated and solved through the Zhang dynamics (ZD) method. To lay a basis for the design of a controller, a direct derivative method (DDM) is presented to transform the(More)
—Distributed consensus has been intensively studied in recent years as a means to mitigate state differences among dynamic nodes on a graph. It has been successfully employed in various applications, e.g., formation control of multi-robots, load balancing, clock synchronization. However, almost all existing applications cast an impression of consensus as a(More)