Renewable energy sources, such as solar and wind power, have been widely used in various forms of networks, which include both communication networks and the smart power grid. Since the renewable energy is usually highly fluctuating, the temporal and spatial dynamics of such sources are often difficult to model and predict. This makes it extremely challenging to incorporate and operate such ene...

2. We wish to optimize system performance over all possible controls / policies, leading to an “infinite dimensional” optimization problem (e.g. we wish to optimize the behavior of a system fed by n different classes of customers; at each slot of time, the server needs to select which customer class to server next. In an infinite time horizon formation, there is an infinite sequence of decision...

We consider a continuous-time stochastic optimization problem with infinite horizon, linear dynamics, and cone constraintswhich includes as a particular case portfolio selection problems under transaction costs for models of stock and currency markets. Using an appropriate geometric formalism we show that the Bellman function is the unique viscosity solution of a HJB equation.

In this paper the state-space solution to H optimization problem for linear time-invariant infinite-horizon differential equation in Hilbert space and sign-indefinite cost function is proposed. The necessary and sufficient conditions as well as the parametrization of all admissible controllers are derived in terms of the stabilizing solutions of two Riccati equations

In this paper the state-space solution to discretetime H optimization problem for linear timeinvariant infinite-horizon difference equations in Hilbert space and sign-indefinite cost function is proposed. The necessary and sufficient conditions as well as the parametrization of all admissible controllers are derived in terms of the stabilizing solution to the Riccati equation.

We analyze infinite-horizon choice functions within the setting of a simple technology. Efficiency and time consistency are characterized by stationary consumption and inheritance functions, as well as a transversality condition. In addition, we consider the equity axioms Suppes-Sen, Pigou-Dalton, and resource monotonicity. We show that Suppes-Sen and Pigou-Dalton imply that the consumption and...

We consider an infinite horizon production planning problem with non-stationary, convex production and inventory costs. Backlogging is allowed unlike related previous work and inventory cost is interpreted as backlogging cost when inventory is negative. We create finite horizon truncations of the infinite horizon problem and employ classic results on convex production planning to derive a close...