Explicit expressions for the ℋ2 norm of time-delay systems based on the delay Lyapunov equation

2010 ◽  
Author(s):  
Elias Jarlebring ◽  
Joris Vanbiervliet ◽  
Wim Michiels
Keyword(s):  
Time Delay ◽  
Lyapunov Equation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Explicit Expressions

scholarly journals Delay dependent stability of linear time-delay systems

2013 ◽  
Vol 40 (2) ◽  
pp. 223-245 ◽  
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic
Keyword(s):  
Time Delay ◽  
Large Scale ◽  
Linear Time ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Lyapunov Equation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay systems are derived. These results have been extended to the large-scale time-delay systems covering the cases of two and multiple existing subsystems. The delay-dependent criteria are derived by Lyapunov's direct method and are exclusively based on the solvents of particular matrix equation and Lyapunov equation for non-delay systems. Obtained stability conditions do not possess conservatism. Numerical examples have been worked out to show the applicability of results derived.

Learning Control for Time-Delay Systems with Multi-Tasks

1995 ◽  
Vol 115 (1) ◽  
pp. 167-168
Author(s):  
Tohru Takahashi ◽  
Yoshirou Tajima ◽  
Kohji Shirane ◽  
Naoki Matsumoto
Keyword(s):  
Time Delay ◽  
Learning Control ◽  
Delay Systems ◽  
Time Delay Systems
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