H. Allen Curtis. A functional canonical form. Journal of the Association for Computing Machinery, vol. 6 (1959), pp. 245–258. - H. Allen Curtis. Multifunctional circuits in functional canonical form. Journal of the Association for Computing Machinery, vol. 6 (1959), pp. 538–547. - H. Allen Curtis. A new approach to the design of switching circuits. D. Van Nostrand Company, Inc., Princeton-Toronto-London-New York, 1962, viii + 635 pp. - R. L. Ashenhurst. The decomposition of switching functions. Therein, pp. 571–602. - Theodore Singer. The decomposition chart as a theoretical aid. Therein, pp. 602–620.

1972 ◽  
Vol 37 (4) ◽  
pp. 760-762
Author(s):  
Harold S. Stone
Keyword(s):  
New York ◽  
Canonical Form ◽  
New Approach ◽  
Switching Circuits ◽  
Computing Machinery ◽  
Switching Functions

scholarly journals New Approach to the Planetary Theory

1979 ◽  
Vol 81 ◽  
pp. 69-72 ◽  
Author(s):  
Manabu Yuasa ◽  
Gen'ichiro Hori
Keyword(s):  
Perturbation Method ◽  
Canonical Form ◽  
Equations Of Motion ◽  
Disturbing Function ◽  
Averaging Principle ◽  
The Sun ◽  
Planetary Theory ◽  
New Approach ◽  
Canonical Perturbation ◽  
Relative Coordinates

A new approach to the planetary theory is examined under the following procedure: 1) we use a canonical perturbation method based on the averaging principle; 2) we adopt Charlier's canonical relative coordinates fixed to the Sun, and the equations of motion of planets can be written in the canonical form; 3) we adopt some devices concerning the development of the disturbing function. Our development can be applied formally in the case of nearly intersecting orbits as the Neptune-Pluto system. Procedure 1) has been adopted by Message (1976).

Fault Identification in Non-Stationary Systems Based on Sliding Mode Observers

2021 ◽  
Vol 22 (12) ◽  
pp. 625-633
Author(s):  
A. V. Zuev ◽  
A. N. Zhirabok ◽  
V. F. Filaretov ◽  
A. A. Protsenko
Keyword(s):  
Canonical Form ◽  
Sliding Mode ◽  
Original System ◽  
Matching Condition ◽  
Observer Design ◽  
Fault Identification ◽  
New Approach ◽  
Minimal Dimension ◽  
Sliding Mode Observers ◽  
Traditional Approaches

The paper is devoted to the problem of fault identification in technical systems described by non-stationary nonlinear dynamic equations under unmatched disturbances. To solve the problem, sliding mode observers are used. The suggested ap- proach is based on the model of the original system of minimal dimension having different sensitivity to the faults and distur- bances in contrast to the traditional approaches to sliding observer design which are based on the original system. Additionally it is assumed that matrices describing such a model have the canonical form and are constant. The main purpose of using such a model is possibility to take into account the non-stationary feature of the systems. As a result, the model has stationary dynamic and non-stationary additional term that allows to promote sliding mode design. Besides, the new approach to design sliding mode observers is suggested. The peculiarity of this approach is that it does not require that original systems should be minimum phase and detectable. According to the traditional approaches stability of the observer is provided by minimum phase and detectability properties. In our approach, stability of the observer is achieved due to the canonical form of the matrices describing the model. In addition, the matching condition is not necessary. This allows to extend a class of systems for which sliding mode observers can be designed. Theoretical results are illustrated by practical example of electric servoactuator.

Jackson Heights Neighborhood Transportation Study, New York City: New Approach in Community-Based Planning

2012 ◽  
Vol 2307 (1) ◽  
pp. 9-20 ◽  
Author(s):  
Oliver Ernhofer ◽  
Willa Ng ◽  
Gill Mosseri ◽  
David Stein ◽  
Don Varley ◽  
...  
Keyword(s):  
New York ◽  
New York City ◽  
York City ◽  
Community Based ◽  
New Approach
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