On two classes of partial stability problems

2004 ◽  
Author(s):  
V.I. Vorotnikov
Keyword(s):  
Stability Problems ◽  
Partial Stability

Analysis of partial stability problems using sum of squares techniques

Automatica ◽  
2009 ◽  
Vol 45 (3) ◽  
pp. 724-730 ◽  
Author(s):  
James Fisher ◽  
Raktim Bhattacharya
Keyword(s):  
Sum Of Squares ◽  
Stability Problems ◽  
Partial Stability

scholarly journals Partial Component Consensus of Discrete-Time Multiagent Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
Wenjun Hu ◽  
Gang Zhang ◽  
Zhongjun Ma ◽  
Binbin Wu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Matrix Theory ◽  
Pinning Control ◽  
Directed Network ◽  
Strong Function ◽  
Partial Stability ◽  
Partial Component ◽  
The Matrix ◽  
Error System

The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.

scholarly journals Estimation of the minimum beam length for the static, dynamic, and stability problems

2021 ◽  
Vol 1155 (1) ◽  
pp. 012101
Author(s):  
A E Mityaev ◽  
I V Kudryavtsev ◽  
M P Khomutov ◽  
M V Brungardt ◽  
A V Kolotov
Keyword(s):  
Beam Length ◽  
Stability Problems
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