scholarly journals Čech systems and approximate inverse systems

2020 ◽  
Vol 55 (2) ◽  
pp. 367-373
Author(s):  
Vlasta Matijević ◽  
◽  
Leonard R. Rubin ◽  
Keyword(s):  
Approximate Inverse ◽  
Inverse Systems ◽  
Approximate System

We generalize a result of the first author who proved that the Čech system of open covers of a Hausdorff arc-like space cannot induce an approximate system of the nerves of these covers under any choices of the meshes and the projections.

On Self-Tuning Control of Nonminimum Phase Discrete-Time Systems Using Approximate Inverse Systems

1993 ◽  
Vol 115 (1) ◽  
pp. 12-18 ◽  
Author(s):  
Takashi Yahagi ◽  
Jianming Lu
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Output Data ◽  
Approximate Inverse ◽  
Nonminimum Phase ◽  
Discrete Time Systems ◽  
Inverse Systems ◽  
Self Tuning ◽  
The Stability ◽  
Time Systems

This paper presents a new method for self-tuning control of nonminimum phase discrete-time stochastic systems using approximate inverse systems obtained from the least-squares approximation. We show how unstable pole-zero cancellations can be avoided, and that this method has the advantage of being able to determine an approximate inverse system independently of the plant zeros. The proposed scheme uses only the available input and output data and the stability using approximate inverse systems is analyzed. Finally, the results of computer simulation are presented to show the effectiveness of the proposed method.

scholarly journals Mapping approximate inverse systems of compacta

1990 ◽  
Vol 134 (1) ◽  
pp. 73-91 ◽  
Author(s):  
Sibe Mardešić ◽  
Jack Segal
Keyword(s):  
Approximate Inverse ◽  
Inverse Systems

scholarly journals Universal and proximately universal limits

1996 ◽  
Vol 61 (1) ◽  
pp. 96-105
Author(s):  
Zvonko Čerin ◽  
Jóse M. R. Sanjurjo
Keyword(s):  
Fixed Point ◽  
Sufficient Conditions ◽  
Fixed Point Property ◽  
Inverse System ◽  
Point Property ◽  
Approximate Inverse ◽  
Similar Theorem ◽  
Inverse Systems

AbstractWe present sufficient conditions on an approximate mapping F: X → Y of approximate inverse systems in order that the limit f: X → Y of F is a universal map in the sense of Holsztyński. A similar theorem holds for a more restrictive concept of a proximately universal map introduced recently by the second author. We get as corollaries some sufficient conditions on an approximate inverse system implying that the its limit has the (proximate) fixed point property. In particular, every chainable compact Hausdorif space has the proximate fixed point property.

scholarly journals On approximate inverse systems and resolutions

1993 ◽  
Vol 142 (3) ◽  
pp. 241-255 ◽  
Author(s):  
Sibe Mardešić
Keyword(s):  
Approximate Inverse ◽  
Inverse Systems

scholarly journals Approximate Inverse Systems for Generalized Linear Systems

1996 ◽  
Vol 32 (8) ◽  
pp. 1190-1198 ◽  
Author(s):  
Nobuaki KOBAYASHI ◽  
Takao ITAMOTO ◽  
Takayoshi NAKAMIZO
Keyword(s):  
Linear Systems ◽  
Approximate Inverse ◽  
Inverse Systems
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