New results on stability analysis for a kind of neutral singular systems with mixed delays

Robust stability analysis for uncertain neutral type descriptor systems with mixed delays

“…Nevertheless, for the NTDS (40), the stability issue have been studied in references [23][24][25]. Thus, if let 𝜏(t ) = 𝜏 0 = 𝜏,  0 =  3 =  0 = 0 in Theorem 1, we can easily get the following Corollary 1.…”

“…Definition 1. [23,24] (i) If the pair (, ) is regular and impulse free with stable , system (5) is said to be regular and impulse free; (ii) If there exists a scalar 𝜂(t ) satisfying sup −𝜇≤t ≤0 ||𝜑(t )|| ≤ 𝜂(𝜅), 𝜅 > 0, z(t ) satisfies ||z(t )|| ≤ 𝜅, 𝜅 ≥ 0 and z(t ) → 0 as t → ∞, system (5) is said to be asymptotically stable;…”

“…Compared with the normal NSs, the NTDSs are more general in their model structure and pay much attention [23][24][25][26][27].…”

“…Chen et al studied the stability analysis for a kind of NTDSs in references [23,24] and obtained the delay-dependent and delayindependent stability criteria, respectively. The robust stability problems of uncertain NTDSs were considered in reference [25].…”

“…• First, the stability criteria in references [23,[25][26][27] are not only delay independent but also take into account the delayinvariant case, which is more conservative. One of the important factors is that they do not fully consider the relationship between the state delay derivative term ̇z(t − h) and the singular matrix  (see (1)).…”