A classical approach to deal with is the anti windup design [11, 13]. A controller is first designed ignoring the input saturations. It is then modified to take into account the effects of the saturation nonlinearities [3]. The last step is the verification of the stability and the performance of the closed loop system. This approach was considered in a significant number of works [11, 13] and ...

We offer a new perspective on games of irreversible investment under uncertainty in continuous time. The basis is a particular approach to solve the involved stochastic optimal control problems which allows to establish existence and uniqueness of an oligopolistic open loop equilibrium in a very general framework without reliance on any Markovian property. It simultaneously induces quite natura...

For a general H 2 optimal control problem, at rst all H 2 optimal measurement feedback controllers are characterized and parame-terized, and then attention is focused on controllers with estimator based architecture. The H 2 optimal control problem with strictly proper controllers and the H 2 optimal control problem with proper controllers are essentially diierent and hence clearly delineated. ...

In this note we first characterize the periodic trajectories (or, equivalently, the limit cycles) of a Boolean network, and their global attractiveness. We then investigate under which conditions all the trajectories of a Boolean control network may be forced to converge to the same periodic trajectory. If every trajectory can be driven to such a periodic trajectory, this is possible by means o...

Analyzing the crowd dynamics from video sequences is an open challenge in computer vision. Under a high crowd density assumption, we characterize the dynamics of the crowd flow by two related information: velocity and a disturbance potential which accounts for several elements likely to disturb the flow (the density of pedestrians, their interactions with the flow and the environment). The aim ...

In this paper, we propose a domain embedding method associated with an optimal boundary control problem with boundary observations to solve elliptic problems. We prove that the optimal boundary control problem has a unique solution if the controls are taken in a finite dimensional subspace of the space of the boundary conditions on the auxiliary domain. Using a controllability theorem due to J....

In this paper, we consider call admission control of multiple classes without waiting room. We use event-based dynamic programming for our model. We show that sometimes the customer classes can be ordered: if it is optimal to accept a class, then to accept a more profitable class is optimal too. We demonstrate submodularity of the minimum cost for the 2-classes problem and establish some proper...

Abstract. This paper studies the bioremediation, in minimal time, of a water resource or reservoir using a single continuous bioreactor. The bioreactor is connected to two pumps, at different locations in the reservoir, that pump polluted water and inject back sufficiently clean water with the same flow rate. This leads to a minimal-time optimal control problem where the control variables are r...

A novel scheme of fault tolerance for input/state asynchronous sequential machines is presented in this paper. The machine may undergo unauthorized state transitions caused by adversarial inputs. The considered faults have the feature of intermittency in their influences so that the adverse effect persists for some finite time after initial occurrence. Since strong fault tolerance is impossible...

A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special features of optimal control problems.