New results on the stability and stabilization for singular neutral systems with time delay.

The stability issue and stabilization issue for a class of singular neutral systems are studied in this paper. Firstly, we give some sufficient conditions such that the considered open-looped systems are admissible. Secondly, we give some results which design the feedback controllers and ensure that the resulting close-looped systems are admissible. Finally, the superiority and effectiveness of the obtained methods are illustrated by two numerical examples. The results obtained in this paper can be employed to analyze the singular neutral systems which do not satisfy the restrictive conditions presented in some published papers. • The singular neutral system that does not satisfy the restrictions presented in some papers is considered. • The considered system contains the neutral delay and the state delay. • This paper presents some sufficient conditions which guarantee the considered system to be admissible. • Two different methods are used to design the feedback controllers. • Numerical examples are presented to illustrate the effectiveness and superiority of the obtained results. [ABSTRACT FROM AUTHOR]