Title
Input-Output Finite-Time Stability
Abstract
This paper introduces the extension of Finite-Time Stability (FTS) to the input-output case, namely the Input-Output FTS (IO-FTS). The main differences between classic IO stability and IO-FTS are that the latter involves signals defined over a finite time interval, does not necessarily require the inputs and outputs to belong to the same class of signals, and that quantitative bounds on both inputs and outputs must be specified. This paper revises some recent results on IO-FTS, both in the context of linear systems and in the context of switching systems. In the final example the proposed methodology is used to minimize the maximum displacement and velocity of a building subject to an earthquake of given magnitude.
Year
Venue
Keywords
2011
CoRR
input output,linear system
Field
DocType
Volume
Magnitude (mathematics),Linear system,Control theory,Input/output,Mathematics,Finite time
Journal
abs/1107.5968
Citations 
PageRank 
References 
0
0.34
0
Authors
6
Name
Order
Citations
PageRank
Gianmaria De Tommasi17811.50
Roberto Ambrosino21237.03
Giuseppe Carannante3433.55
Carlo Cosentino438439.33
Alfredo Pironti533027.47
Francesco Amato641948.74