Quantum trajectories” are solutions of stochastic differential equations of nonusual type. Such equations are called “Belavkin” or “Stochastic Schrödinger Equations” and describe random phenomena in continuous measurement theory of Open Quantum System. Many recent investigations deal with the control theory in such model. In this article, stochastic models are mathematically and physically just...

A sampled-data observer is proposed for linear continuous-time systems whose outputs are sequentially sampled via non-uniform sampling intervals repeating a prescribed Round-Robin sequence. With constant (jitter-free case) we provide constructive necessary and sufficient conditions the design of an asymptotic continuous–discrete estimation error input-to-state stable (ISS) from process disturba...

We describe the influence of continuous measurement in a decaying system and the role of the distance from the detector to the initial location of the system. The detector is modeled first by a step absorbing potential. For a close and strong detector, the decay rate of the system is reduced; weaker detectors do not modify the exponential decay rate but suppress the long-time deviations above a...

Cardiovascular diseases are the main cause of death in Germany. A long-term blood pressure measurement is crucial to identify hypertension which can lead to cardiovascular disease. Conventional techniques use the automatic arm cuff method which is painful and provides only intermittent results. A new method for continuous measurement is developed using a DOPPLER ultrasound sensor on a superfici...

This work was performed within the DFG Research Training Group 1194 “Self-organizing Sensor-Actuator Networks” in the subproject I1 “Decentralized Reconstruction of Continuous Phenomena based on Space-Time Discrete Measurements”. One of the main applications for sensor networks is the observation, monitoring, and exploration of space-time continuous physical phenomena, such as temperature distr...

Previous work has shown that adults in the United States selectively use fractions and decimals to model discrete and continuous entities, respectively. However, it is unclear whether this apparent semantic alignment between the format of rational numbers and quantitative ontology is specific to the American education system, the English language, or measuring conventions (primarily imperial me...

In previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. Then we extendedthis research to the simulation of continuous fuzzy systems models. In this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. Consider a crisp continuous system whose evolution depends ondifferential equations. Such a ...

OBJECTIVE To compare optical motion capture system (MoCap), attitude and heading reference system (AHRS) sensor, and Microsoft Kinect for the continuous measurement of cervical range of motion (ROM). METHODS Fifteen healthy adult subjects were asked to sit in front of the Kinect camera with optical markers and AHRS sensors attached to the body in a room equipped with optical motion capture ca...

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the concept of using l1 reconstruction technique, commonly used in sparse data reconstruction, for state measurement and estimation in a discrete time linear syste...