New Sufficient Conditions for Finite Time Stability of Nonlinear Time Delay Systems

2018 ◽  
Vol 21 (5) ◽  
pp. 2321-2329 ◽  
Author(s):  
Guopei Chen ◽  
Ying Yang
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability

scholarly journals Stability of singular time-delay systems in the sense of non-Lyapunov: Classical and modern approach

2013 ◽  
Vol 67 (2) ◽  
pp. 193-202 ◽  
Author(s):  
Dragutin Debeljkovic ◽  
Sreten Stojanovic ◽  
Marko Aleksendric
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Initial Conditions ◽  
Sufficient Conditions ◽  
Practical Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Modern Approach ◽  
Finite Time Stability

This paper provides sufficient conditions for both practical stability and finite-time stability of linear singular continuous time-delay systems which can be mathematically described as Ex(t)=Aox(t)+A1x(t-t). Considering a finite-time stability concept, new delay independent and delay dependent conditions have been derived using the approach based on the Lyapunov-like functions and their properties on the subspace of consistent initial conditions. These functions do not need to have the properties of positivity in the whole state space and negative derivatives along the system trajectories. When the practical stability has been analyzed the above mentioned approach was combined and supported by the classical Lyapunov technique to guarantee the attractivity property of the system behavior. Moreover an linear matrix inequality (LMI) approach has been applied in order to get less conservative conditions.

scholarly journals Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Pang Denghao ◽  
Jiang Wei
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Gronwall Inequality ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Generalized Gronwall Inequality ◽  
Grönwall Inequality

This paper studies the finite-time stability of neutral fractional time-delay systems. With the generalized Gronwall inequality, sufficient conditions of the finite-time stability are obtained for the particular class of neutral fractional time-delay systems.

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