a r t i c l e i n f o a b s t r a c t In this paper we study the distributed optimal control problem for the two-dimensional mathematical model of cancer invasion. Existence of optimal state-control and stability is proved and an optimality system is derived.

Production is the most fundamental activity in our economy. In this paper, a Cobb-Douglas production function is used as the mathematical model to describe the relationship among production, labor and capital. Two reliable production optimal control problems are studied. Algorithms to find dynamic optimal control intervals are provided with interval parameter presentations and interval computat...

This paper presents a control law for the tracking of a cyclic reference trajectory by an under-actuated biped robot. The robot studied is a five-link planar robot. The degree of under-actuation is one during the single support phase. The control law is defined in such a way that only the geometric evolution of the robot is controlled, not the temporal evolution. To achieve this objective, we c...

The single wheel, gyroscopically stabilized robot Gyrover, is a dynamically stable but statically unstable, underactuated system. In this paper, based on the dynamic model of the robot, we investigate two classes of nonholonomic constraints associated with the system. Then, based on the backstepping technology, we propose a control law for balance control of Gyrover. Next, through transferring ...

model predictive controller is widely used in industrial plants. uncertainty is one of the critical issues in real systems. in this paper, the direct adaptive simplified model predictive control (smpc) is proposed for unknown or time varying plants with uncertainties. by estimating the plant step response in each sample, the controller is designed and the controller coefficients are directly ca...

in this paper, the 1/4 vehicle model have been simulated. the vehicle body acceleration using optimal control has been optimized. the vehicle ride comfort is achieved by using robust control, and it has been compared with optimal control. the active suspension can help the vehicle to have a good dynamic behavioral. in this paper, two degrees of freedom dynamic vibration model of a general vehic...