Use of time-dependent chemical sensor signals for selective identification

SummaryA detailed discussion on the difference between an initial value line and a line characterised by a boundary condition has been presented. Two types of boundaries are described and illustrated. To examine each boundary, several different calculations have been performed for a straight pipe. The results of the numerical calculations are compared with an analytical solution. It is shown that known pressure and velocity at the pipe ends give the most accurate results. Comparisons are also made between several practical types of calculations which give similar findings. The use of time-dependent boundaries can lead to errors as large as 40 per cent in derived results. It is shown that good accuracy can be restored by converting the boundaries into initial value lines. It is concluded that in general no more than one time-dependent boundary should be used in any calculation. Finally it is demonstrated that errors are not revealed by means of pressure diagrams alone.

Download Full-text

Use of Time-Dependent Spatial Maps of Communication Quality for Multi-robot Path Planning

Ad-hoc Networks and Wireless - Lecture Notes in Computer Science ◽

10.1007/978-3-662-46338-3_18 ◽

2015 ◽

pp. 217-231

Author(s):

Gianni A. Di Caro ◽

Eduardo Feo Flushing ◽

Luca M. Gambardella

Keyword(s):

Path Planning ◽

Time Dependent ◽

Robot Path Planning ◽

Communication Quality ◽

Use Of Time ◽

Spatial Maps ◽

Robot Path ◽

Multi Robot

Download Full-text

SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS

Reviews in Mathematical Physics ◽

10.1142/s0129055x13500037 ◽

2013 ◽

Vol 25 (02) ◽

pp. 1350003 ◽

Cited By ~ 5

Author(s):

S. RICHARD ◽

R. TIEDRA DE ALDECOA

Keyword(s):

Spectral Analysis ◽

Time Delay ◽

Hilbert Spaces ◽

Scattering Theory ◽

Asymptotic Completeness ◽

Time Dependent ◽

Resolvent Estimates ◽

Wave Operators ◽

Use Of Time ◽

Stationary Scattering

We review the spectral analysis and the time-dependent approach of scattering theory for manifolds with asymptotically cylindrical ends. For the spectral analysis, higher order resolvent estimates are obtained via Mourre theory for both short-range and long-range behaviors of the metric and the perturbation at infinity. For the scattering theory, the existence and asymptotic completeness of the wave operators is proved in a two-Hilbert spaces setting. A stationary formula as well as mapping properties for the scattering operator are derived. The existence of time delay and its equality with the Eisenbud–Wigner time delay is finally presented. Our analysis mainly differs from the existing literature on the choice of a simpler comparison dynamics as well as on the complementary use of time-dependent and stationary scattering theories.

Download Full-text