In this paper we propose a positive linear control law for the stabilization of positive equilibria in predator-prey systems. This problem is motivated by the introduction, which is by essence positive, of predators in biological control applications, to prevent excessive levels of prey (pests). We build a linear controller that we saturate at zero and prove, under some conditions, the global a...

The controllability theory may at times lead to a control law as can be seen in the control theory literature. In this paper, a global control algorithm is proposed for nonlinear systems in the so-called linear-analytic form in the plane. The algorithm is motivated by a theorem by Hunt, which gives sufficient conditions for the global controllability of linearanalytic systems on a 2-dimensional...

We propose and analyze an optimal control problem where the control system is a mathematical model for tuberculosis (TB) with different post-exposure interventions considered. We analyze the impact of transmission intensity on the control interventions and show that optimal control solutions reduce the number of active TB cases.

In the presence of large uncertainties, a control system needs to be able to adapt rapidly to regain performance. Fast adaptation is referred to the implementation of adaptive control with a large adaptive gain so as to reduce the tracking error rapidly. However, a large adaptive gain can lead to highfrequency oscillations which can adversely affect robustness. A new adaptive law, called optima...

This paper is devoted to the robust stabilization and passivity of general uncertain nonlinear systems. It is first proved that the unforced system has a unique local solution with any initial value in some neighborhood of the origin. Some properties of robust passive systems are obtained. Based on these properties, it is verified that under some conditions robust passivity of the uncertain sys...

In the ice cream industry, the type of final desired product (large cartons (sqrounds) or ice creams on a stick) determine the viscosity at which the ice cream has to be produced. One of the objectives of the ice cream crystallization processes is therefore to produce an ice cream of specified viscosity. In this paper, a nonlinear control strategy is proposed for the control of the viscosity of...

This paper presents a computationally fesible procedure for the optimal control and stochastic simulation of large nonlinear models with rational expectations under the assumption of certainty equivalence.

This paper presents the control of non-regular or singular nonlinear systems applying non-linear predictive controllers. The systems treated here have the relative degree not well defined thus feedback linearization is not applicable due to singularities in the input-output linearizing control law. An alternative controller capable of dealing with non-regular systems is the NCGPC (Nonlinear Con...

I. Abstract Nowadays people are strongly dependent on cars for doing their tasks, but they usually are not aware of hazards which are awaiting them. For instance, since people travel with cars, their human bodies undergo in fatigue, restlessness, and sometimes health problems. Human body reaction under external vibration depends on the amplitude, frequency, and acceleration of the applied exter...

Titre : CONTROL OF SAFETY FACTOR PROFILE IN PLASMAS OF TOKAMAK IN INFINITE DIMENSION The increasing energy needs of the world population require the development, the control and the supply of new forms of energy. In this context, nuclear fusion is a track of extremely promising research. World project ITER is intended to prove the scientific and technical feasibility of nuclear fusion. One of t...