This paper associates with stability analysis of linear impulsive stochastic delay systems (ISDSs). Although many conclusions about the ISDSs have been obtained based on Lyapunov’s method, relatively few research theories delay-dependent less conservativeness established. Therefore, we introduce an appropriate Lyapunov-Krasovskii functional (LKF) to work out this problem, and a novel exponentia...

Rotorcraft stability is an inherently multidisciplinary area, including aerodynamics of rotor and fuselage, structural dynamics flexible structures, actuator dynamics, control, augmentation systems. The related engineering models can be formulated with increasing complexity due to the asymmetric nature rotorcraft airflow on rotors in forward flight conditions. As a result, linear time-invariant...

This paper considers a Lotka-Volterra model with time delays and delay dependent parameters. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived. Finally,...

This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state” and norm bounded time varying quasi-linear uncertainties in the delayed “state” and in the difference operator. The stability analysis is performed via...

This paper focuses on the problem of robust control for Takagi–Sugeno (T–S) fuzzy systemswith time-delay. The delay-dependent stability analysis and controller synthesis have been addressed. The free weighting matrix method has been used for stability analysis and controller synthesis. New and less conservative delay-dependent stability conditions are proposed in terms of linear matrix inequali...

In this paper, the global asymptotic stability of delayed cellular neural networks of neutral-type is investigated. A novel delay-dependent criterion for the stability using the Lyapunov stability theory and linear matrix inequality (LMI) framework is presented. Since the condition is dependent on the size of time delay, it is usually less conservative than delay-independent ones. Two numerical...