In this paper we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions. Motivated by problems in geometric group theory, we characterize extremal curves, discuss their optimality, and calculate the metric spheres, proving their Eucl...

This paper is framed within the context of intra-day optimal control of polygeneration systems and storage connected to microgrids. In particular, the paper proposes an optimal control strategy that accounts for both electrical and thermal processes taking place in multi-building energy networks. To this end, the proposed optimal control strategy, based on the use of a Model Predictive Control,...

The goal of this paper is to propose an alternative to classical control methods of a fed-batch fermentation. Fuzzy modeling and control theory is used for that purpose. The fuzzy supervisor based on human experience and experimental data, is designed to compute the set values for a PI controller which controls the feeding dilute flow to the fermentator. The results are compared with those obta...

In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water sanitation. Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. Optimal control theory is applied to seek c...

The control strategy to organize the flow of goods is extremely important in managing supply networks. Handling of uncertainty, e.g. customer demand, is often a considerable challenge. We introduce methods of constrained robust optimal control, a technique from control theory, to compute the explicit control strategy for small-sized demand-driven discrete-time controlled dynamical systems with ...

The paper highlights the design of automatic generation controllers through optimal control strategy, for an interconnected hydrothermal system using a new performance index that circumvents the need for a load demand estimator. The dynamic performances of these controllers are analysed and compared with those obtained through the usual performance index as that used by Fosha and Elgerd, consid...

An investigation of commercial engines with finite capacity lowand high-price economic subsystems and a generalized commodity transfer law [ ( ) m n P ∝ Δ ] in commodity flow processes, in which effects of the price elasticities of supply and demand are introduced, is presented in this paper. Optimal cycle configurations of commercial engines for maximum profit are obtained by applying optimal ...

Much of ERM consists of qualitative discussion of the risks facing a business and controls over them. It is difficult to identify in the literature a clear body of theory to provide the foundation for the subject, integrating a business’s objectives with its risk controls. The present paper attempts this by formulation of ERM as an exercise in stochastic optimal control theory. Here there is a ...

in this paper we have utilized optimum control procedures to derive an optimum monetary rule for iran’s economy ; assuming the policy makers are using the interest rate as a policy variable. in doing so a dynamic stochastic model with rational expectation was setup. the model is calibrated with the use of previous findings in the literature. the results show that the optimum reacrion of the pol...

 Radio frequency (RF) pulses are essential in MRI to excite and alter magnetization. We present and validate a flexible approach based on optimal control of the full time-dependent Bloch equation, including relaxation effects. A globally convergent trust-region Newton method with exact derivatives via adjoint calculus allows the efficient computation of optimal pulses. The results are validate...