A multiple integral approach to stability of neutral time-delay systems

Improved conditions for neutral delay systems with novel inequalities

“…Clearly, the results of h in [4,7,8,18] and [14] are much more conservative than those in [3,17] and Theorem 3.1. It is observed from Table 2 that our time-delay h is much bigger than existing results with the less variables.…”

“…Various interesting methods have been introduced to obtain delay-dependent stability conditions for neutral delay systems, such as model transformation approach [8], delay partitioning technique [2], discretized Lyapunov functional method [11], free-weighting matrix approach [9,12], and integral inequality method [1]. With the help of these approaches, improved delay-dependent stability conditions have been presented gradually, such as [3,11,15] and the references therein. It is known that Jensen's like inequalities have played an important role in obtaining delay-dependent stability conditions.…”

Novel Stability Criterion for Neutral Systems with Mixed Time-Delay

“…Fortunately, it has been improved in [24]- [26] which dealt with single integral terms. Recently, a new multiple integral inequality was introduced following a similar line as in proof of Jensen inequality in [20], and a novel delaydependent stability criterion was established, which has been unfortunately observed that the computational burden is slightly heavy. Actually, [19] observed that the upper bounds of double integral terms should also be estimated if triple integral terms are introduced in the Lyapunov-Krasovskii functional to obtain less conservative conditions.…”

Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays

“…The problem of exponential stability for uncertain neutral switched systems with nonlinear perturbations has been studied in [37]. In order to improve further the feasible region of stability criteria, many effective methods have been developed, such as slack matrices or free-weighting matrices [2,12], reciprocally convex [5], delay-partitioning [1,14], state matrix decomposition [17], model transformation [27], a multiple integral inequality [7,23].…”

“…During the past few decades, the study of time-delay systems (TDSs) has attracted increasing attention due to the fact that time delay is an unavoidable factor in a variety of physical and engineering problems, and may lead to instability, poor performance or even oscillation [3,7,29,31]. Therefore, the issue of stability analysis for TDSs has become a popular subject of research for their extensive applications in practical systems, such as H ∞ out tracking control system [36], markovian jump system [32], H ∞ filtering [4], reliable passive control for singular systems [28], dissipativity analysis [38], neural networks [22,23], and other scientific areas.…”