Sliding mode optimal regulator for a bolza-meyer criterion with non-quadratic state energy terms

AbstractElectron propagation in a trapped state between an insulator and a metal during very close contact in a triboelectric nanogenerator (TENG) system was considered in this study. A single energy level (E0) was assumed for the trap and wave function inside the trap, which is related to the ground state energy. The phase of the waveform in the metal (neglecting the rebound effect at the wall) was assumed very small (δ′ ≪ 1) because of the large size of the metal. The contact distance between the trap and metal is very small, which allows us to ignore the vacuum potential. Based on our results, the probability of finding an electron inside the trap as a function of time was found to be in oscillation (i.e., back-and-forth propagation of the electron between the trap and metal leads to an equilibrium state). These results can be used to understand the quantum mechanisms of continuous contact, particularly in sliding-mode TENG systems.

Download Full-text

Electron energy-loss near-edge structure in silicate minerals

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100130924 ◽

1992 ◽

Vol 50 (2) ◽

pp. 1258-1259

Author(s):

D W McComb ◽

R S Payne ◽

P L Hansen ◽

R Brydson

Keyword(s):

Solid State ◽

Energy Loss ◽

Electron Energy ◽

State Energy ◽

Local Environment ◽

Edge Structure ◽

Silicate Minerals ◽

Two Samples ◽

Electron Energy Loss ◽

Careful Processing

Electron energy-loss near-edge structure (ELNES) is an effective probe of the local geometrical and electronic environment around particular atomic species in the solid state. Energy-loss spectra from several silicate minerals were mostly acquired using a VG HB501 STEM fitted with a parallel detector. Typically a collection angle of ≈8mrad was used, and an energy resolution of ≈0.5eV was achieved.Other authors have indicated that the ELNES of the Si L2,3-edge in α-quartz is dominated by the local environment of the silicon atom i.e. the SiO4 tetrahedron. On this basis, and from results on other minerals, the concept of a coordination fingerprint for certain atoms in minerals has been proposed. The concept is useful in some cases, illustrated here using results from a study of the Al2SiO5 polymorphs (Fig.l). The Al L2,3-edge of kyanite, which contains only 6-coordinate Al, is easily distinguished from andalusite (5- & 6-coordinate Al) and sillimanite (4- & 6-coordinate Al). At the Al K-edge even the latter two samples exhibit differences; with careful processing, the fingerprint for 4-, 5- and 6-coordinate aluminium may be obtained.

Download Full-text

Associations Between Self-Report of Emotional State and the EEG Patterns in Affective Disorders Patients

Journal of Psychophysiology ◽

10.1027/0269-8803/a000004 ◽

2010 ◽

Vol 24 (1) ◽

pp. 33-40 ◽

Cited By ~ 7

Author(s):

Miroslaw Wyczesany ◽

Jan Kaiser ◽

Anton M. L. Coenen

Keyword(s):

State Energy ◽

Emotional State ◽

Spectral Power ◽

Bipolar Affective Disorder ◽

Affective State ◽

Manic Episode ◽

High Energy ◽

Self Report ◽

Major Depressive ◽

High Tension

The study determines the associations between self-report of ongoing emotional state and EEG patterns. A group of 31 hospitalized patients were enrolled with three types of diagnosis: major depressive disorder, manic episode of bipolar affective disorder, and nonaffective patients. The Thayer ADACL checklist, which yields two subjective dimensions, was used for the assessment of affective state: Energy Tiredness (ET) and Tension Calmness (TC). Quantitative analysis of EEG was based on EEG spectral power and laterality coefficient (LC). Only the ET scale showed relationships with the laterality coefficient. The high-energy group showed right shift of activity in frontocentral and posterior areas visible in alpha and beta range, respectively. No effect of ET estimation on prefrontal asymmetry was observed. For the TC scale, an estimation of high tension was related to right prefrontal dominance and right posterior activation in beta1 band. Also, decrease of alpha2 power together with increase of beta2 power was observed over the entire scalp.

Download Full-text