Complete classification and stability of equilibria in a delayed ring network.
Conditions for oscillation of a neutral differential equation.
Conditions for the absence of positive solutions of a first order differential inequality with a single delay
A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.
Connections between Morse sets for delay-differential equations.
Consensus of a two-agent system with nonlinear dynamics and time-varying delay
To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes.
Construction of Lyapunov functionals for linear Volterra integrodifferential equations and stability of delay systems.
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay.
Constructive solution of coupled second order delay differential equations with variable coefficients.
Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument.
Continuous dependence of the solution to a class of neutral differential equations on the initial data and on the right-hand side.
Continuous transformations of differential equations with delays.
Continuous -methods for the stochastic pantograph equation.
Continuous-time deadbeat observation problem with application to predictive control of systems with delay
Control of a class of chaotic systems by a stochastic delay method
A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.
Control problem for event-switched processes.
Controllability, applications, and numerical simulations of cellular neural networks.
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and...
Controllability indices of linear systems with delays
Controllability of a class of nonlinear systems with distributed delays in control
Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.