HM-LM-AM Inequalities

Some refinements of operator reverse AM-GM mean inequalities

In this paper, we prove the operator inequalities as follows: Let [Formula: see text] be positive operators on a Hilbert space with [Formula: see text] and [Formula: see text]. Then for every positive unital linear map Φ, [Formula: see text] and [Formula: see text] Moreover, we prove Lin's conjecture when [Formula: see text].

Hm - OPTIMAL CONTROLLER DISCRETIZATION

A redesign method for discretizing a continuous-time controller is proposed. The resulting hybrid control system, for example with continuous-time plant and discrete-time controller, is stable, and performance including the system's inter-sampling behaviour can be optimized by approximating some chosen reference transfer function of the continuous-time control system. In order to obtain a tract...

Synthetic Direct Impact Light Curves of the Ultracompact AM CVn Binary Systems V407 Vul and HM Cnc

The interacting binary white dwarf (AM CVn) systems HM Cnc and V407 have orbital periods of 5.4 min and 9.5 min, respectively. The two systems are characterized by an “on/off” behaviour in the X-ray light curve, and optical light curves that are nearly sinusoidal and which lead the X-ray light curves in phase by about 0.2 in both systems. Of the models that have been proposed to explain the obs...

LM 1771 and LM 3880 Based FPGA Power Supply

hm(P) = h1(Pm): Alternative Characterisations of the Generalisation From hmax To hm

The hm (m = 1, . . .) family of admissible heuristics for STRIPS planning with additive costs generalise the h heuristic, which results when m = 1. We show that the step from h to hm can be made by changing the planning problem instead of the heuristic function. This furthers our understanding of the hm heuristic, and may inspire application of the same generalisation to admissible heuristics s...