Improved conditions for neutral delay systems with novel inequalities

Abstract

This paper studies the stability problem of a class of neutral delay systems. It firstly establishes two novel integral inequalities, which are better than the same type inequalities found in the literature. Then it derives, by using the new inequalities and the Lyapunov functional method, some sufficient delay-dependent conditions for asymptotic stability of the neutral delay systems. Three numerical examples are provided to illustrate the advantage and effectiveness of the obtained results.

Passivity Analysis of Fractional-Order Neutral-Type Fuzzy Cellular BAM Neural Networks with Time-Varying Delays

“…Such a phenomenon constantly encountered in the area of chemical reactors, transmission lines in electrical engineering, heat exchangers, and population dynamic systems. Because of this component, neutral systems have turned into the subject of broad look into by numerous researchers [21][22][23][24][25][26][27][28]. Many neural networks can be regarded as special cases of neutral neural networks, and most of the neural networks can be transformed into neutral neural networks for research [29,30].…”

Stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters via novel free matrix–based integral inequality

“…It is known to all that neutral systems can model all kinds of engineering systems; see, for example, heat exchangers, population ecology, repetitive control, distributed networks containing lossless transmission lines, and robots in contact with rigid environments . Therefore, much attention has been reported to investigating neutral systems in the past few years …”

“…It is worthy to note that the delay‐partitioning approach, free matrices method, and Wirtinger‐based inequality are the effective tools to handle time‐delay systems. Although those methods have been employed in other works, there still exists some room for improvement. In fact, there still exists some conservatism when using Jensen's inequality or the Wirtinger‐based inequality in dealing with the integral term.…”

Stabilization for Markovian Jump Systems with Additive Time-varying Delays

“…So, the research about the synthesis problem for MJSs will become more complex and difficult. In addition, delay systems are frequently encountered in various practical systems, such as engineering, biology, economics, neural networks, and network control, [9][10][11][12][13][14][15][16], however, this class system is instability and performance deterioration in many cases. Thus, recent past decades have witnessed extensive research on delay systems in the literature, including stability analysis, stabilization H∞ controller design, robust filtering analysis, and model reduction or simplification [17][18][19][20][21][22][23][24][25][26].…”