Adaptive control for time-varying systems: A combination of Martingale and Markov chain techniques

Adaptive control problems of a first-order randomly time-varying stochastic system are considered. A class of adaptive controllers based on the Kalman filter is introduced and is analysed using a combination of martingale and Markov chain techniques. It is shown that both the expected value and sample path averages of the square of the output of the closed-loop system remain bounded and that the long-run cost is a continuous functional of the parameters of the controller and the distribution of the disturbance process. These results hold even when the Gaussian assumption used in previous papers is removed and the a priori estimate of the noise variance is incorrect.     

Capacity of time-slotted ALOHA packetized multiple-access systems over the AWGN channel

We study different notions of capacity for time-slotted ALOHA systems. In these systems, multiple users synchronously send packets in a bursty manner over a common additive white Gaussian noise (AWGN) channel. The users do not coordinate their transmissions, which may collide at the receiver. For such a system, we define both single-slot capacity and multiple-slot capacity. We then construct a coding and decoding scheme for single-slot capacity that achieves any rate within this capacity region. This coding and decoding scheme for a single time slot combines aspects of multiple access rate splitting and of broadcast codes for degraded AWGN channels. This design allows some bits to be reliably received even when collisions occur and more bits to be reliably received in the absence of collisions. The exact number of bits reliably received under both of these scenarios is part of the code design process, which we optimize to maximize the expected rate in each slot. Next, we examine the behavior of the system asymptotically over multiple slots. We show that there exist coding and decoding strategies such that regardless of the burstiness of the traffic, the system is stable as long as the average rate of the users is within the multiple access capacity region of the channel. In other words, we show that bursty traffic does not decrease the Cover-Wyner capacity region of the multiple access channel. A vast family of codes, which includes the type of codes we introduce for the single-slot transmission, achieve the capacity region, in a sense we define, for multiple-slot transmissions. These codes are stabilizing, using only local information at each of the individual queues. The use of information regarding other queues or the use of scheduling does not improve the multiple-slot capacity region.     

Erster und zweiter Rettungsweg in Wohngebäuden

First and second escape ways in residential buildings The existence of two redundant escape ways is a fundamental concept to ensure a safe egress of occupants in the event of fire. Fire safety requirements for means of egress are defined by the state specific building codes in Germany. This publication focuses on a further clarification of existing requirements and amongst others explains why some means of egress, such as permanent installed ladders are not suitable for this purpose. However, in contrast to this fire service equipment can also provide the second escape way in particularly for residential buildings. Different means are used depending on the applied strategy and infrastructure of the fire service. A summary of reported fire incidents of the Berlin fire service in the years 2012 and 2013 shows that smoke filled stairwells were also used to evacuate trapped occupants. In order to protect these occupants from smoke intoxication, escape hoods or positive pressure ventilation fans, to allow for a smoke free stairwell, have been used.