scholarly journals A Linear Matrix Inequality Approach to Robust Stability Conditions for Linear Time-Delay Systems

2002 ◽  
Vol 15 (7) ◽  
pp. 344-349 ◽  
Author(s):  
Kazunori YASUDA ◽  
Naofumi NISHIHIRA
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequality ◽  
Robust Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Linear Matrix Inequality Approach

ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY

2009 ◽  
Vol 24 (05) ◽  
pp. 893-907 ◽  
Author(s):  
OLGA N. LETYAGINA ◽  
ALEXEY P. ZHABKO
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Periodic Systems ◽  
Stability Conditions ◽  
Time Delay Systems ◽  
Free System ◽  
Robust Stability Analysis ◽  
Linear Periodic Systems

In this paper, a procedure for construction of quadratic Lyapunov-Krasovskii functionals for linear time delay systems with periodic coefficients is proposed. Functionals are used to derive robust stability conditions. The problem of computation of Lyapunov matrices for functionals is reduced to computation of solutions of an auxiliary two-point boundary problem for a special delay free system of matrix equation.

Guaranteed Cost Observer-Based Control for a Class of Uncertain Time-Delay Systems

2004 ◽  
Vol 127 (4) ◽  
pp. 723-728 ◽  
Author(s):  
Chang-Hua Lien ◽  
Yi-You Hou
Keyword(s):  
Time Delay ◽  
Upper Bound ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Time Delay Systems ◽  
Feedback Controls ◽  
Guaranteed Cost ◽  
Linear Matrix Inequality Approach ◽  
Uncertain Time

In this paper, the robust guaranteed cost observer-based controls for a class of uncertain time-delay systems are considered. The linear matrix inequality approach is used to design the feedback controls. Optimal guaranteed cost observer-based controls which minimize the upper bound of cost function are provided. A numerical example is given to illustrate our results.

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