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The finite-time stability of perturbed systems [PDF]

open access: yes2012 IEEE International Conference on Control Applications, 2012
This paper deals with the finite-time stability of dynamic perturbed systems. The Lyapunov stability case is studied for nonautonomous systems and where the autonomous part is considered as finite-time stable and augmented by a separable function related to time-varying perturbations.
Naim Zoghlami   +3 more
openaire   +2 more sources

Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design

SIAM Journal on Control and Optimization, 2010
This paper extends the well-known concept, Sontag's input-to-state stability (ISS), to finite-time control problems. In other words, a new concept, finite-time input-to-state stability (FTISS), is proposed and then is applied to both the analysis of finite-time stability and the design of finite-time stabilizing feedback laws of control systems.
Gang Feng, Zhong-Ping Jiang
exaly   +2 more sources

Finite-time stability and finite-time boundedness of fractional order linear systems

Neurocomputing, 2016
In this paper, the finite-time stability (FTS) and the finite-time boundedness (FTB) for the fractional order linear time invariant (LTI) systems with 0 < α < 1 are studied. First, some conditions to guarantee the FTS and the FTB for a class of fractional order LTI systems are derived by combining a new property for Caputo fractional derivatives, the ...
Yue-E Wang, Bao-Wei Wu
exaly   +2 more sources

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