Anti-angiogenic therapy is a novel treatment approach in cancer therapy that aims at preventing a tumor from developing its own blood supply system that it needs for growth. In this paper a mathematical model for anti-angiogenic treatments based on a biologically validated model by Hahnfeldt, Panigrahy, Folkman and Hlatky is analyzed as an optimal control problem and a full solution of the prob...

We address the problem of finding conditions which guarantee the existence of open-loop Nash equilibria in discrete time dynamic games (DTDGs). The classical approach to DTDGs involves analyzing the problem using optimal control theory which yields results mainly limited to linear-quadratic games [1]. We show the existence of equilibria for a class of DTDGs where the cost function of players ad...

The solution for the above formulated problems are well known (Anderson, Moore, 1990), (Kuo, 1992), but there are some difficulties in implementation of the algorithms. The solution to the P1 problem is usually presented as an open loop control u(k) because the feedback control u(x(k)) has a complicated form. The P2 problem is the most frequently meet linear quadratic problem with finite final ...

We summarize some basic result in dynamic optimization and optimal control theory, focusing on some economic applications.

The paper aims at providing a switching solution for a parametrized Belgian chocolate stabilization problem posed by Blondel. We show that for any given value of the parameter describing the given transfer function, there exist simple switching and periodic control laws that stabilize the plant. The simplicity in designing these control laws sharply contrasts with the difficulty of designing a ...

Since the end of the seventies, several authors proposed to use a distributed delay in the control law of time-delay systems. Some recent publications showed that the implementation of such laws is not always safe with respect to the stability of the closed-loop system, as we recall in the first part of this paper limited to the scalar case of systems with delayed input. In the second part, we ...

I extend Myerson’s (1981) ironing technique to more general objective functions. The approach can be used to solve quasilinear principalagent models in the general case where the monotonicity constraint implied by incentive compatibility may be binding at the optimum. It is based on calculating for each type of the agent a score that takes into account virtual surplus (i.e., aggregate surplus a...

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...

One of the main open problems in the area of adaptive control of linear-in-the-parameters feedback linearizable systems is the computation of the feedback control law when the identification model becomes uncontrollable. In this paper, the authors propose a switching adaptive control strategy that overcomes this problem. The proposed strategy is applied to nth-order feedback linearizable system...