We prove a novel Lyapunov-based small-gain theorem for interconnections of n hybrid systems, which are not necessarily input-to-state stable. This result unifies and extends several small-gain theorems for hybrid and impulsive systems, proposed in the last few years. Also we show how the average dwell-time (ADT) clocks and reverse ADT clocks can be used to modify the Lyapunov functions for subs...

The carrier distribution functions in a semiconductor crystal in the presence of a strong optical field are obtained. These are used to derive expressions for the gain dependence on the carrier density and on the optical intensitythe gain suppression effect. A general expression for high order nonlinear gain coefficients is obtained. This formalism is then used to describe the carrier and power...

This paper reviews, compares, and contrasts recent gain calculations for a laser concept in deltadoped p-Ge and p-GaAs. Gain is calculated using distribution functions, determined from Monte Carlo simulations, for hot holes in crossed electric and magnetic fields. The results suggest that Ge is the superior material when considering only the factor of optical gain, but the possibility of lasing...

The Even-Mansour structure and the chopMD mode are two widely-used strategies in hash function designs. They are adopted by many hash functions including two SHA-3 finalists, the JH hash function and the Grøstl hash function. The Even-Mansour structure combining the chopMD mode is supposed to enhance the security of hash functions against collision and preimage attacks, while our results show t...

Parity-time (PT) symmetry and broken in micro-/nanophotonic structures have been investigated extensively as they bring new opportunities to control the flow of light based on non-Hermitian optics. Previous studies focused situations PT-symmetry loss-loss or gain-loss coupling systems. Here, we theoretically predict gain-gain gain-lossless PT-broken from phase diagram, where boundaries between ...

Nowadays the applications of industrial robots are spreading to a great extent so that various demands for industrial manipulators are increasing. While industrial robots are coming into wide use, the control techniques of the robots are being developed as their performance is being enhanced. In this paper, for accurate gain tuning of the labmanufactured 6-axis articulated robot (called as “RS2...

This paper addresses the root locus locus of positive gain and the complementary root locus locus of negative gain of biproper transfer functions transfer functions with the same number of poles and zeros . It is shown that the root locus and complementary root locus of a biproper transfer function can be directly obtained from the plot of a suitable strictly proper transfer function transfer f...

in this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. upper bounds for the second and third coefficients of functions in this subclass are founded. our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

Calculations of the longitudinal mode functions for the electric field of a compound-cavity laser show that the loss and gain coefficients are given by the Airy formula, as a function of the mode frequencies. Further, when the external cavity is longer than the gain-medium cavity, the frequency dependence of the gain is stronger than that of the loss, even when the intracavity surfaces are anti...