A sufficient condition for delay-independent asymptotic stability of large-scale time-delay systems is derived. An evolutionary programming approach is newly developed to decompose the system matrix such that our result can be further improved. For testing the system stability, we do not attempt to solve the Lyapunov or Riccati equation, but need only to check the eigenvalues of a Hamiltonian matrix to guarantee the solvability of an algebraic Riccati equation. The present method is simple and less conservative than those proposed in the literature.

1.
Schoen
,
G. M.
, and
Geering
,
H. P.
,
1995
, “
A note on robustness bounds for large-scale time-delay systems
,”
Int. J. Syst. Sci.
,
26
, pp.
2241
2244
.
2.
Wang
,
W. J.
,
Song
,
C. C.
, and
Kao
,
C. C.
,
1991
, “
Robustness bounds for large-scale systems with structured and unstructured uncertainties
,”
Int. J. Syst. Sci.
,
22
, pp.
209
216
.
3.
Wang
,
W. J.
, and
Song
,
C. C.
,
1989
, “
A new stability criterion for large-scale systems with delays
,”
Contr. Theory and Advanced Technology
,
5
, pp.
315
322
.
4.
Hamamed
,
A.
,
1986
, “
On the stability of time-delay systems: new results
,”
Int. J. Control
,
43
, pp.
321
324
.
5.
Hmamed
,
A.
,
1986
, “
Note on the stability of large-scale systems with delays
,”
Int. J. Syst. Sci.
,
17
, pp.
1083
1087
.
6.
Huang
,
S. N.
,
Shao
,
H. H.
, and
Zhang
,
Z. J.
,
1995
, “
Stability analysis of large-scale systems with delays
,”
Syst. Control Lett.
,
25
, pp.
75
78
.
7.
Mori
,
T.
,
Noldus
,
E.
, and
Kuwahara
,
M.
,
1983
, “
A way to stabilized linear systems with delayed state
,”
Automatica
,
19
, pp.
571
573
.
8.
Trinh
,
H.
, and
Aldeen
,
M.
,
1995
, “
Stability robustness bounds for linear systems with delayed perturbations
,”
IEE Proc.-D: Control Theory Appl.
,
142
, pp.
345
350
.
9.
Shyu
,
K. K.
, and
Yan
,
J. J.
,
1993
, “
Robust stability of uncertain time-delay systems and its stabilization by variable structure control
,”
Int. J. Control
,
57
, pp.
237
246
.
10.
Cao
,
Y. J.
,
1997
, “
Eigenvalue optimization problems via evolutionary programming
,”
Electron. Lett.
,
33
, pp.
642
643
.
11.
Tan
,
K. C.
,
Gong
,
M. R.
, and
Li
,
Y.
,
1996
, “
Evolutionary linearization in frequency domain
,”
Electron. Lett.
,
32
, pp.
74
76
.
12.
Doyle
,
J. C.
,
Glover
,
K.
,
Khargonekar
,
P. P.
, and
Francis
,
B. A.
,
1989
, “
State-space solutions to standard H2 and H∞ control problem
,”
IEEE Trans. Autom. Control
,
34
, pp.
831
846
.
13.
Zhou
,
K.
, and
Khargonekar
,
P. P.
,
1988
, “
Robust stabilization of linear systems with norm-bounded time-varying uncertainty
,”
Syst. Control Lett.
,
10
, pp.
17
20
.
You do not currently have access to this content.