Infinite networks of positive operators

1974 ◽  
Vol 2 (1) ◽  
pp. 69-78 ◽  
Author(s):  
A. H. Zemanian
Keyword(s):  
Positive Operators ◽  
Infinite Networks

scholarly journals Quasiharmonic classification of infinite networks

1980 ◽  
Vol 2 (4) ◽  
pp. 339-344 ◽  
Author(s):  
Maretsugu Yamasaki
Keyword(s):  
Infinite Networks

A relaxed small-gain theorem for discrete-time infinite networks

2020 ◽  
Author(s):  
Navid Noroozi ◽  
Andrii Mironchenko ◽  
Fabian R. Wirth
Keyword(s):  
Discrete Time ◽  
Small Gain Theorem ◽  
Small Gain ◽  
Infinite Networks

scholarly journals Stability and moment bounds under utility-maximising service allocations: Finite and infinite networks

2020 ◽  
Vol 52 (2) ◽  
pp. 463-490
Author(s):  
Seva Shneer ◽  
Alexander Stolyar
Keyword(s):  
Steady State ◽  
Wide Class ◽  
Continuous Time ◽  
Service Rate ◽  
Fluid Limit ◽  
Natural Conditions ◽  
Infinite Systems ◽  
Moment Bounds ◽  
Infinite Networks ◽  
State Moment

AbstractWe study networks of interacting queues governed by utility-maximising service-rate allocations in both discrete and continuous time. For finite networks we establish stability and some steady-state moment bounds under natural conditions and rather weak assumptions on utility functions. These results are obtained using direct applications of Lyapunov–Foster-type criteria, and apply to a wide class of systems, including those for which fluid-limit-based approaches are not applicable. We then establish stability and some steady-state moment bounds for two classes of infinite networks, with single-hop and multi-hop message routes. These results are proved by considering the infinite systems as limits of their truncated finite versions. The uniform moment bounds for the finite networks play a key role in these limit transitions.

scholarly journals A spectral small-gain condition for input-to-state stability of infinite networks

2020 ◽  
Vol 53 (2) ◽  
pp. 5303-5308
Author(s):  
Christoph Kawan ◽  
Andrii Mironchenko ◽  
Abdalla Swikir ◽  
Navid Noroozi ◽  
Majid Zamani
Keyword(s):  
Small Gain ◽  
Infinite Networks

Convexity Inequalities for Positive Operators

Positivity ◽  
2006 ◽  
Vol 11 (1) ◽  
pp. 57-68 ◽  
Author(s):  
Markus Haase
Keyword(s):  
Positive Operators

The Complete Behavior of Certain Infinite Networks Under Kirchhoff’s Node and Loop Laws

1976 ◽  
Vol 30 (2) ◽  
pp. 278-295 ◽  
Author(s):  
A. H. Zemanian
Keyword(s):  
Infinite Networks

scholarly journals Riesz bases and positive operators on Hilbert space

2003 ◽  
Vol 2003 (18) ◽  
pp. 1173-1174
Author(s):  
James R. Holub
Keyword(s):  
Hilbert Space ◽  
Positive Operators ◽  
Riesz Bases

scholarly journals On nth Roots of Positive Operators

1980 ◽  
Vol 87 (5) ◽  
pp. 380 ◽  
Author(s):  
D. R. Brown ◽  
M. J. O'Malley
Keyword(s):  
Positive Operators

Fractional powers of strongly positive operators and their applications

2017 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Ayman Hamad
Keyword(s):  
Positive Operators ◽  
Fractional Powers

Endpoint estimates of positive operators in a filtered measure space

2017 ◽  
Vol 109 (5) ◽  
pp. 477-488
Author(s):  
Yahui Zuo ◽  
Lian Wu ◽  
Yong Jiao
Keyword(s):  
Measure Space ◽  
Positive Operators
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