New delay-range-dependent exponential stability criteria for certain neutral differential equations with interval discrete and distributed time-varying delays
نویسندگان
چکیده
منابع مشابه
New Robust Stability Criteria for Uncertain Neutral Time-Delay Systems With Discrete and Distributed Delays
In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...
متن کاملImproved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays
and Applied Analysis 3 2. Problem Statements Consider the following discrete-time neural networks with interval time-varying delays: y k 1 Ay k W0g ( y k ) W1g ( y k − h k ) b, 2.1 where n denotes the number of neurons in a neural network, y k y1 k , . . . , yn k T ∈ R is the neuron state vector, g k g1 k , . . . , gn k T ∈ R denotes the neuron activation function vector, b b1, . . . , bn T ∈ R...
متن کاملImproved delay-range-dependent stability criteria for linear systems with interval time-varying delays
This paper provides new delay-range-dependent stability criteria in the forms of LMIs for systems with interval time-varying delays. Two cases concerning whether the derivative of the time delay is known are studied. A new estimation method is developed to estimate the nonlinear time-varying coefficients derived from Jenson’s integral inequality more tightly than the existing ones. Along with c...
متن کاملDelay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional LKF has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities LMIs . By free-weight matrices method, the usual res...
متن کاملDelay-dependent Robust Stability Criteria for Uncertain Neutral Systems with Mixed Time-varying Discrete and Neutral Delays
In this paper, a new class of augmented quasi full size LypunovKrasovskii functional is introduced for the robust stability of uncertain neutral systems with mixed timevarying discrete and neutral delays. The nonlinear parameter perturbations and normbounded uncertainties are taken into consideration separately. Delay-dependent robust stability criteria are derived in the form of linear matrix ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2016
ISSN: 1687-1847
DOI: 10.1186/s13662-016-1046-5