In this paper, we investigate the existence of nontrivial periodic solutions for an integrated pest management model which is impulsively controlled by means of biological and chemical controls used in a periodic fashion. For this model, a nonlinear incidence rate is employed to describe the transmission of the disease which is induced through the use of the biological control, while the chemic...

The delayed feedback control (DFC) is a control method for stabilizing unstable periodic orbits in nonlinear autonomous differential equations. We give an important relationship between the characteristic multipliers of the linear variational equation around an unstable periodic solution of the equation and those of its delayed feedback equation. The key of our proof is a result about the spect...

The simple multi-period repetitive control system proposed by Yamada and Takenaga is a type of servomechanism for a periodic reference input. That is, the simple multi-period repetitive control system follows the periodic reference input with a small steady state error, even if a periodic disturbance or uncertainty exists in the plant. In addition, simple multi-period repetitive control systems...

‎in this paper‎, ‎we investigate a damped korteweg-de‎ ‎vries equation with forcing on a periodic domain‎ ‎$mathbb{t}=mathbb{r}/(2pimathbb{z})$‎. ‎we can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.

This paper is devoted to the study of the existence of periodic solutions for a class of control problems described by a semilinear parabolic equation. Related optimization problems are also considered. Periodic control problems and optimal periodic control problems for evolution equations described both by ordinary differential equations and by parabolic equations arise in many different situa...

BACKGROUND In heart failure (HF) patients, exercise may increase pulmonary capillary hydrostatic pressure and thereby generate pulmonary edema. If pulmonary edema developed, alveolar-capillary membrane conductance (Dm), measured immediately after exercise, would decrease. To test this hypothesis, we measured Dm before and at 2 and 60 minutes after exercise. METHODS AND RESULTS We studied 10 H...

In this study, some techniques for the control of chaotic nonlinear systems with periodic coefficients are presented. First, chaos is eliminated from a given range of the system parameters by driving the system to a desired periodic orbit or to a fixed point using a full-state feedback. One has to deal with the same mathematical problem in the event when an autonomous system exhibiting chaos is...

The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference input. Thus, the simple repetitive control system follows a periodic reference input with small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic refe...

–A permanent magnet two phase AC servo motor is widely used for high performance position control applications. Nevertheless with the presence of nonlinearities, and the input is periodic, conventional type controller is not sufficient to provide satisfactory time-varying trajectory position control. In order to improve the tracking performance for periodic reference trajectory, this article pr...

We discuss the numerical solution of the output feedback optimal periodic control problem by using a gradient search based optimization approach. Extension of this approach to the simultaneous stabilization of periodic multimodels is also considered. For the evaluation of function and its gradient explicit expressions are derived which involve the numerical solution of a pair of discrete-time p...