New delay-dependent robust stability of discrete singular systems with time-varying delay

The robust stability of discrete singular systems with time‐varying delay is considered. New delay‐dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay‐dependent linear matrix inequality (LMI) condition is obtained for a discrete singular time‐varying system to be regular, causal and stable. The result on robust stabilization of uncertain discrete singular time‐varying systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society