Exponential stability criteria for systems with multiple time delays

2017 ◽  
Vol 35 (Supplement_1) ◽  
pp. i73-i88 ◽  
Author(s):  
Rigoberto Medina ◽  
Carlos Martinez ◽  
Claudio Vidal
Keyword(s):  
Exponential Stability ◽  
Time Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Multiple Time Delays

scholarly journals Exponential Stability of Linear Systems with Multiple Time Delays

2016 ◽  
Vol 2 (1) ◽  
pp. 69-78
Author(s):  
Y Ordokhani ◽  
E Taghizadeh ◽  
D Behmardi ◽  
M Matin Far ◽  
◽  
...  
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays

Exponential Stability for Continuous-Time Singular Systems With Multiple Time Delays

2003 ◽  
Vol 125 (2) ◽  
pp. 262-264 ◽  
Author(s):  
Yeong-Jeu Sun
Keyword(s):  
Convergence Rate ◽  
Exponential Stability ◽  
Stability Criterion ◽  
Continuous Time ◽  
Time Delays ◽  
Global Exponential Stability ◽  
Singular Systems ◽  
Multiple Time ◽  
Numerical Example ◽  
Multiple Time Delays

In this paper, the global exponential stability for a class of singular systems with multiple time delays is investigated. Simple stability criterion is derived to guarantee the global exponential stability of such systems. Moreover, an estimate of the convergence rate of such stable systems is presented. A numerical example is also provided to illustrate the main result.

scholarly journals Stability analysis of linear neutral systems with multiple time delays

2005 ◽  
Vol 2005 (2) ◽  
pp. 175-183 ◽  
Author(s):  
Keyue Zhang
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Spectral Radius ◽  
Time Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
New Criteria

This paper studies the asymptotic stability of linear neutral systems with multiple time delays. Using the characteristic equation of the system, new delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. Numerical examples are given to demonstrate the validity of our new criteria.

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