filippov solutions
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Filippov solutions of vector Dirichlet problems

2020 ◽  
Vol 70 (2) ◽  
pp. 401-416
Author(s):  
Hana Machů
Keyword(s):  
Differential Equations ◽  
The State ◽  
State Variables ◽  
Dirichlet Problems ◽  
Filippov Solutions ◽  
Natural Notion ◽  
Growth Restrictions ◽  
The One ◽  
The Right ◽  
Effective Growth

Abstract If in the right-hand sides of given differential equations occur discontinuities in the state variables, then the natural notion of a solution is the one in the sense of Filippov. In our paper, we will consider this type of solutions for vector Dirichlet problems. The obtained theorems deal with the existence and localization of Filippov solutions, under effective growth restrictions. Two illustrative examples are supplied.

scholarly journals On robust stability of switched systems in the context of Filippov solutions

2017 ◽  
Vol 109 ◽  
pp. 17-23 ◽  
Author(s):  
Mohamadreza Ahmadi ◽  
Hamed Mojallali ◽  
Rafael Wisniewski
Keyword(s):  
Robust Stability ◽  
Switched Systems ◽  
Filippov Solutions

scholarly journals Robust H∞ control of uncertain switched systems defined on polyhedral sets with Filippov solutions

2012 ◽  
Vol 51 (6) ◽  
pp. 722-731 ◽  
Author(s):  
Mohamadreza Ahmadi ◽  
Hamed Mojallali ◽  
Rafael Wisniewski
Keyword(s):  
Switched Systems ◽  
Filippov Solutions ◽  
Polyhedral Sets

scholarly journals Robust Stability Analysis of Nonlinear Switched Systems with Filippov Solutions

2012 ◽  
Vol 45 (13) ◽  
pp. 288-293 ◽  
Author(s):  
Mohamadreza Ahmadi ◽  
Hamed Mojallali ◽  
Rafael Wisniewski ◽  
Roozbeh Izadi-Zamanabadi
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Switched Systems ◽  
Filippov Solutions ◽  
Nonlinear Switched Systems ◽  
Robust Stability Analysis
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