The relation between the small gain theorem and ‘infinite phase margin’ is classical; in this paper we formulate a novel supply rate, called the ‘not-out-of-phase’ supply rate, to first prove that ‘infinite gain margin’ (i.e. non-intersection of the Nyquist plot of a transfer function and the negative half of the real axis) is equivalent to dissipativity with respect to this supply rate. Captur...

We carried out degradation analysis of a blue phosphorescent organic light emitting diode by both impedance spectroscopy and transient electroluminescence (EL) spectroscopy. The number of semicircles observed in the Cole-Cole plot of the modulus became three to two after the device was operated for 567 hours. Considering the effective layer thickness of the initial and degraded devices did not ...

In this paper, a new method is introduced to enhance feedback robustness against communication gain uncertainties. The method employs a fundamental property in stochastic differential equations to add a scaled stochastic dither under which tolerable gain uncertainties can be much enlarged, beyond the traditional deterministic optimal gain margin. Algorithms, stability, convergence, and robustne...

The note presents a formula for the prediction of the rotation periods of the planets and asteroids. This formula, which is like the Titius-Bode law, gives a good agreement with the rotation periods of most planets, shows that Venus is retrograde, and that there must be five objects between Mars and Jupiter. This formula may be of some relevance in understanding the dynamics of the early solar ...

The faults of rotating machinery monitored by fixing the sensors on rotor directly brings some problems such as difficulty in fixing the sensors, poor universality and so on, while it brings some advantages such as rapidness, convenience and good universality and so on by fixing the sensors on the base. Since the base is far away from the fault source, the collected vibration signals are relati...

This paper describes system analyze of the Windkessel models. The equations, space state and transfer functions of 2, 3 and 4 elements Windkessel models are described. The Simulink environment model schemas are presented as well. The Bode frequency and step response analyses are presented for all three models as well. Moreover the simulation of the special input signal which represents blood fl...

We propose simple tools for robust design of controllers for SISO linear systems with or without uncertainty. These tools are based on the generalization of frequency domain, where the uncertainty is defined by generalized Bode envelopes (GBE). The utilization of generalized Nyquist and Mikhailov theorems, which uses the number of GBE crossings with certain predefined horizontal lines, to deduc...