This paper deals with the optimal control problem that arise when a hydraulic system with fixed-head hydroplants is considered. In the frame of a deregulated electricity market the resulting Hamiltonian for such systems is linear in the control variable and results in an optimal singular/bang-bang control policy. To avoid difficulties associated with the computation of optimal singular/bang-ban...

The problem of active control of the transient dynamic response of large space structures. modeled as equivalent continua. is investigated here. The effects of initial stresses. in the form of inplane stress resultants in an equivalent plate model. on the controllability of transverse dynamic response. are studied. A singular solution approach is used to derive a fully coupled set of nodal equa...

We consider an approximation scheme for integro-partial differential equations which arise in the theory of linear viscoelas-ticity. This scheme is based on a modiication (to account for the singular kernel) of certain averaging type approximation methods for delay equations. We use this scheme to investigate the eeects of a history parameter (the delay length) on the behavior of the eigenvalue...

The optimal pacing strategy of a cyclist in an individual time-trial depends on terrain, weather conditions and the cyclists endurance capacity. Previous experimental and theoretical studies have shown that a suboptimal pacing strategy may have a substantial negative effect. In this paper we express the optimal pacing problem as a mathematical optimal control problem which we solve using Pontry...

The optimal pacing strategy of a cyclist in an individual time-trial depends on terrain, weather conditions and the cyclists endurance capacity. Previous experimental and theoretical studies have shown that a suboptimal pacing strategy may have a substantial negative effect. In this paper we express the optimal pacing problem as a mathematical optimal control problem which we solve using Pontry...

A method for finding the optimal control of singular system with a quadratic cost functional using block pulse function is discussed. After introducing block pulse function in the beginning we develop an operational matrix for solving singular state equations. A numerical example is included to demonstrate the validity and applicability of the technique. Keywords— Optimal control, Singular syst...

We use conductance based neuron models, and the mathematical modeling of optogenetics to define controlled neuron models and we address the minimal time control of these affine systems for the first spike from equilibrium. We apply tools of geometric optimal control theory to study singular extremals, and we implement a direct method to compute optimal controls. When the system is too large to ...

We provide an existence and uniqueness theory for an extension of backward SDEs to the second order. While standard Backward SDEs are naturally connected to semilinear PDEs, our second order extension is connected to fully nonlinear PDEs, as suggested in [4]. In particular, we provide a fully nonlinear extension of the Feynman-Kac formula. Unlike [4], the alternative formulation of this paper i...