Stability analysis for a class of neutral type singular systems with time-varying delay

Mixed‐delay‐dependent stability for time‐delay neutral system: an improved dynamic Lyapunov method

“…On the one hand, since the suitable LKF selection can play an essential role in extending the application area, some effective techniques such as the LKF based on model transformation [8], delay‐decomposition LKF term [22], augmented triple LKF [9], time‐varying LKF [23], and delay‐product‐type LKF [24] have been put forward, which make the obtained results more and more effective but complicated. It is worth noting that though multiple time‐delays are existing in a neutral system, the authors of [10, 11] utilised individual information on each delay to construct the LKFs, which seem to be conservative to some extent. In order to overcome this point, some novel LKF terms were proposed to represent the interconnection between time‐delays [12–14], which was later extended to time‐varying delays [15, 16].…”

A Novel Lyapunov functional with application to stability analysis of neutral systems with nonlinear disturbances

“…In the recent literature, many different techniques and methodologies combining with the Lyapunov approach have been employed to study the stability problem of various classes of neutral systems [12]- [33]. These papers have basically employed the Lyapunov functionals possessing double or triple integral terms to obtain delayindependent or delay-dependent stability criteria with or without nonlinear perturbations in the form of linear matrix inequalities (LMIs).…”