Based on the mechanism and characteristics of measles transmission, we propose a susceptible-exposed-infectious-recovered (SEIR) measles epidemic model with vaccination and investigate the effect of vaccination in controlling the spread of measles. We obtain two critical threshold values, lc1 and lc2, of the vaccine coverage ratio. Measles will be extinct when the vaccination ratio l > lc1, end...

Standard linear optimal control theory is generalized using a spectral factorization approach to elucidate some effects of frequency shaped performance indices. The theory discusses robustness results which parallel those of standard optimal control design. Matrix transfer function Riccati equations emerge as a conceptual tool associated with the frequency shaped optimal designs.

This paper investigates the modelling and the control of a turbocharged air system of a gasoline engine. The purpose of the work described here is to propose a new control strategy based on an original physical model of the system. This first part describes the development of a simple model of the system. Based on a complete representation of the system, some simplifications and assumptions are...

We consider the solution of a stochastic integral control problem, and we study its regularity. In particular, we characterize the optimal cost as the maximum solution of /v V, A(v)u <=f(v) in ’(), u 0 on 0, u where A(v) is a uniformly elliptic second order operator and V is the set of the values of the control.

where Ω ⊂ RN , N = 2, 3 is a bounded domain with C0,1-boundary, ν > 0 is a fixed number, yd and yc are given functions from L2(Ω). Furthermore, ua and ub are given real numbers with ua < ub. The difficulty of low regularity of solutions of problems with pointwise state constraints is pointed out in (1). Therefore, different regularization concepts are developed, see e.g. (2), (3), (4) and (5). ...

We numerically investigate the sense in which an adaptive control law achieves internal model control of Hammerstein plants with Prandtl–Ishlinskii hysteresis. We apply retrospective cost adaptive control to a command-following problem for uncertain Hammerstein systems with hysteretic input nonlinearities. The only required modeling information of the linear plant is a single Markov parameter. ...

This paper discusses the impacts of resource tax reform on the optimal resources extraction in China when the time of resource tax reform and the ways of taxes levy are uncertain. Based on the assumption that the process for accepting resource tax reform follows Poisson process, we first divide resource extraction into two processes by using the idea of dynamic planning. We then apply the optim...

In this paper we, apply the classical control theory to a parabolic partial differential equation in a bounded domain with diffusivity-interior-boundary actuation. We first we study the existence of the solution of the parabolic partial differential equation, then we study the solution bound estimate which are used to prove the existence of the solution of the optimal control problem in a Banac...