Finite-time stability of linear systems: an approach based on polyhedral Lyapunov functions

2007 ◽  
Author(s):  
Francesco Amato ◽  
Roberto Ambrosino ◽  
Marco Ariola ◽  
Francesco Calabrese
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals FTS and FTB of Conformable Fractional Order Linear Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
Abdellatif Ben Makhlouf ◽  
Omar Naifar ◽  
Mohamed Ali Hammami ◽  
Bao-wei Wu
Keyword(s):  
Fractional Derivative ◽  
Linear Systems ◽  
Fractional Order ◽  
Finite Time ◽  
Conformable Fractional Derivative ◽  
Time Stability ◽  
Order Linear ◽  
Finite Time Stability ◽  
Finite Time Boundedness

In this paper, an extension of some existing results related to finite-time stability (FTS) and finite-time boundedness (FTB) into the conformable fractional derivative is presented. Illustrative example is presented at the end of the paper to show the effectiveness of the proposed result.

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