Piecewise quadratic functions for finite-time stability analysis

2012 ◽  
Author(s):  
R. Ambrosino ◽  
E. Garone ◽  
M. Ariola ◽  
F. Amato
Keyword(s):  
Stability Analysis ◽  
Finite Time ◽  
Quadratic Functions ◽  
Time Stability ◽  
Finite Time Stability ◽  
Piecewise Quadratic Functions

scholarly journals One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model

2020 ◽  
Vol 15 ◽  
pp. 25
Author(s):  
Ivan Gudoshnikov ◽  
Mikhail Kamenskii ◽  
Oleg Makarenkov ◽  
Natalia Voskovskaia
Keyword(s):  
Stability Analysis ◽  
Cyclic Loading ◽  
Finite Time ◽  
Stability Result ◽  
Stress Evolution ◽  
Time Stability ◽  
Elastoplastic Model ◽  
Finite Time Stability ◽  
Sweeping Processes ◽  
Simple Network

We offer a finite-time stability result for Moreau sweeping processes on the plane with periodically moving polyhedron. The result is used to establish the convergence of stress evolution of a simple network of elastoplastic springs to a unique cyclic response in just one cycle of the external displacement-controlled cyclic loading. The paper concludes with an example showing that smoothing the vertices of the polyhedron makes finite-time stability impossible.

Finite-time stability analysis for neutral-type neural networks with hybrid time-varying delays without using Lyapunov method

2017 ◽  
Vol 238 ◽  
pp. 67-75 ◽  
Author(s):  
Mingwen Zheng ◽  
Lixiang Li ◽  
Haipeng Peng ◽  
Jinghua Xiao ◽  
Yixian Yang ◽  
...  
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Finite Time ◽  
Lyapunov Method ◽  
Neutral Type ◽  
Time Varying ◽  
Time Stability ◽  
Finite Time Stability
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