Finite-time stability analysis of fractional differential systems with variable coefficients

2019 ◽  
Vol 29 (1) ◽  
pp. 013110 ◽  
Author(s):  
Fengrong Zhang ◽  
Deliang Qian ◽  
Changpin Li
Keyword(s):  
Stability Analysis ◽  
Finite Time ◽  
Variable Coefficients ◽  
Time Stability ◽  
Differential Systems ◽  
Finite Time Stability ◽  
Fractional Differential Systems ◽  
Fractional Differential

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.

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