The game LIGHTS OUT! is played on a 5× 5 square grid of buttons; each button may be on or off. Pressing a button changes the on/off state of the light of the button pressed and of all its vertical and horizontal neighbors. Given an initial configuration of buttons that are on, the object of the game is to turn all the lights out. The game can be generalized to arbitrary graphs. In this paper, C...

the mixed-signal circuits with both analog and digital blocks on a single chip have wide applications in communication and rf circuits. integrating these two blocks can cause serious problems especially in applications requiring fast digital circuits and high performance analog blocks. fast switching in digital blocks generates a noise which can be introduced to analog circuits by the common su...

Introduction Photonic packet switching fabrics are emerging as an attractive solution for ultra-high bandwidth, low switching latency interconnection within next -generation high-performance computing architectures. This is because lightwave networks are not limited by the conventional bottlenecks found in electronic systems, and have demonstrated the transmission of gargantuan volumes of data ...

This paper presents stability analysis and robust H∞ control for nonlinear switched systems bounded in sectors with arbitrary boundaries. By proposing new and more general multiple Lyapunov functions that incorporate nonlinearities in the system, we formulate the stability conditions under arbitrary switching in the form of linear matrix inequalities. Moreover, an optimization problem subject t...

In this paper, an adaptive forwarding strategy for wireless networks using multiple relays in general cooperative link is analyzed. Two schemes, amplify-and-forward (AF) and decodeand-forward (DF) are investigated depending on channel conditions. Further a hybrid scheme employing multiple relays which allows switching between the two schemes according to channel condition is proposed. The bit e...

This chapter focuses on the stability analysis problem for a class of continuous-time switched time-delay systems modelled by delay differential equations under arbitrary switching. Then, a transformation under the arrow form is employed. Indeed, by using a constructed Lyapunov function, the aggregation techniques, the Kotelyanski lemma associated with the M-matrix properties, new delay-depende...

In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention mainly on discrete-time systems. When all subsystems are Schur stable, we show that the switched system is exponentially stable under arbitrary switching. Furthermore, when all subsystems are Schur st...

A novel amplifier configuration is described, in which a bandpass delta-sigma modulator is used to produce a two-level (digital) signal representing an analog radio frequency (RF) input. Subsequently, a switching-mode amplifier and bandpass filter are used to amplify the signal and remove unwanted spectral components. This configuration has the potential of achieving high efficiency (typical of...