We present a novel static power control scheme to improve system capacity in wireless cellular networks. Our basic idea is to reduce intercellular interference and improve the capture probability by coordinating transmission powers of users in different cells. This coordination is determined beforehand and no real-time coordination is required. Power control is static and fixed. We formulate an...

with zi ∈ { Ĉ[0, T ] |zi(0) = 0, zi(T ) = bi } , with technical constraints for the consumption rate over time: mi ≤ żi(t) ≤Mi, ∀i = 1, . . . , n. We abstract from this situation to tackle a general problem which studies a production process whose efficiency of production with respect to each input depends on time, on the stock of the various inputs, and on the consumption rate of other inputs....

We consider maximal monotone diierential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a \bang-bang" principle for nonlinear control systems monitored by maximal monotone diierential equations.

We study a modiied version of the well known Markov-Dubins problem, in which the control is angular acceleration rather than angular velocity. We show that an optimal trajectory cannot contain a junction of a bang-bang and a singular piece, and use results of Zelikin and Borisov to show that there are Pontryagin extremals involving innnite chattering.

A teoria do Big Bang corresponde ao modelo explicativo início Universo a partir de um ponto (singularidade) elevada densidade e temperatura que começa expandir- se, criando-se o espaço-tempo. Sendo seguido pelo período inflação cósmica, dominado pela radiação outro matéria (principalmente escura) até momento atual, por uma energia escura, permite explicar história nosso observável. O é bem test...

The problem of maximizing the duration of open loop operation of a perturbed linear time invariant system, while keeping performance errors within bound, is considered. It was shown in an earlier article that the optimal control for this problem is purely bang-bang if an associated switching function is non-zero almost everywhere. Sufficient conditions are derived in this article to guarantee t...

where ƒ and g are smooth vector fields. Admissible controls are arbitrary measurable functions with values in [—1,4-1] and a trajectory of the system corresponding to a control u( ) is an absolutely continuous curve such that x(t) — f{x(t)) + u(t)g(x(t)) holds almost everywhere. In every optimal control problem the question of regularity of the solutions comes up naturally. The standard existen...

Object avoidance is an important topic in control theory. Various traditional control methods can be applied to achieve control of object path such as PID, Bang-Bang control, sliding mode control. Given a known and simple dynamic system, those classical controls method work pretty well. However, controls of complex, multi degree of freedom systems or controls of systems with unknown dynamics ha...