Wenqin Wang

Novel delay-dependent stability criterion for time-varying delay systems with parameter uncertainties and nonlinear perturbations

This study proposes a novel approach to obtain less conservative conditions for the robust stability analysis for time-varying delay systems with parameter uncertainties and nonlinear perturbations. Specifically, first, we divide the time-varying delay into non-uniformly subintervals and decompose the corresponding integral intervals to estimate the bounds of integral terms more exactly. Second, novel delay-derivation-dependent stability criteria are derived by introducing a parameter @c in the Lyapunov-Krasovskii functional. Third, we define some new variables to deal with uncertain parameters. Finally, two numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.

Stability analysis of neutral type neural networks with mixed time-varying delays using triple-integral and delay-partitioning methods.

This paper investigates the asymptotical stability problem for a class of neutral type neural networks with mixed time-varying delays. The system not only has time-varying discrete delay, but also distributed delay, which has never been discussed in the previous literature. Firstly, improved stability criteria are derived by employing the more general delay partitioning approach and generalizing the famous Jensen inequality. Secondly, by constructing a newly augmented Lyapunov-Krasovskii functionals, some less conservative stability criteria are established in terms of linear matrix inequalities (LMIs). Finally, four numerical examples are given to illustrate the effectiveness and the advantage of the proposed main results.

New delay-dependent stability criteria for uncertain genetic regulatory networks with time-varying delays

This study is concerned with the problem of robust stability of uncertain genetic regulatory networks with time-varying delays. The parameter uncertainties are modeled as having a structured linear fractional form. By choosing an augmented novel Lyapunov-Krasovskii functional which contains some triple integral terms and using the lower bound lemma rather than the Jensen inequality lemma, less conservative condition are obtained. Whats more, the criteria can be applicable to both fast and slow time-varying delays. Finally, two numerical examples are presented to illustrate the effectiveness of the theoretical results.

Novel delay-dependent stability criterion for uncertain genetic regulatory networks with interval time-varying delays

This study is concerned with the problem of robust stability analysis for uncertain genetic regulatory networks with interval time-varying delays. In order to obtain less conservative conditions, a new approach is introduced by improving Lyapunov-Krasovskii functional together with the free-weighting matrices. Besides, we use the series compensation technique and Jensen inequality lemma to get the new stability criteria. Furthermore, the criteria can be applicable to both fast and slow time-varying delays. Finally, numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.

Robust delay-probability-distribution-dependent stability of uncertain genetic regulatory networks with time-varying delays

This study is concerned with the problem of robust delay-probability-distribution-dependent stability of genetic regulatory networks with time-varying delays and parameter uncertainties. By dividing the time-varying delays into multiple nonuniformly subinterval and choosing an appropriate novel Lyapunov functional which contains some triple integral terms, new stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs). The uncertain parameters are modeled as having a structured linear fractional form. Besides, the derivatives of the time delays are considered having different bounds in various delay intervals. Moreover, less conservative conditions are obtained by using the lower bound lemma together with Jensen inequality lemma. Furthermore, the criteria can be applicable to both fast and slow time-varying delays. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results.

Exponential convergence analysis of uncertain genetic regulatory networks with time-varying delays.

This study is concerned with the problem of exponential convergence of uncertain genetic regulatory networks with time-varying delays in the case of the unknown equilibrium point. The system׳s uncertainties are modeled as a structured linear fractional form. Novel stability criteria are obtained by using the lower bound lemma together with Jensen inequality lemma. In order to get rid of the rigorous constraint that the derivatives of time-varying delays must be less than one, a new approach is introduced by improving Lyapunov-Krasovskii functional rather than using the traditional free-weighting matrices. Finally, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

New Delay-Dependent Stability Criteria for Uncertain Neutral System with Time-Varying Delays and Nonlinear Perturbations

This study is concerned with the problem of robust stability analysis of uncertain neutral system with time-varying delays and nonlinear perturbations. The parameter uncertainties are modeled as a structured linear fractional form. By choosing an augmented novel Lyapunov–Krasovskii functional which contains some triple integral terms and using the lower bound lemma to handle the integral terms, less conservative criteria are obtained. Moreover, the rigorous constraint that the derivatives of time-varying delays must be less than one has been removed. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results.