On the “freezing” method for nonlinear nonautonomous systems with delay.
On the global asymptotic stability of switched linear time-varying systems with constant point delays.
On the instability of linear nonautonomous delay systems
The unstable properties of the linear nonautonomous delay system , with nonconstant delay , are studied. It is assumed that the linear system is unstable, the instability being characterized by a nonstable manifold defined from a dichotomy to this linear system. The delay is assumed to be continuous and bounded. Two kinds of results are given, those concerning conditions that do not include the properties of the delay function and the results depending on the asymptotic properties of the...
On the linearized stability of age-structured multispecies populations.
On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts.
On the qualitative behavior of the solutions for a class of nonlinear third order differential equations with a retarted argument.
On the relation of delay equations to first-order hyperbolic partial differential equations
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...
On the sign definiteness of Lyapunov functionals and stability of linear delay equations.
On the spectrum of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument.
On the stability of convex symmetric polytopes of matrices.
On the ...-stability of functional differential equations.
On the stability of infinite-dimensional linear stochastic systems
On the stability of neutral-type uncertain systems with multiple time delays
The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness...
On the stability of solutions of certain systems of differential equations with piecewise constant argument
We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.
On the stability of strongly continuous semigroups of positive operators on
On the uniform exponential stability of linear time-delay systems.
On unstable neutral differential equations of the second order
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equation to be oscillatory and to improve some existing results. The main results are based on the comparison principles.
Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems
The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional (distributed parameter) Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution is obtained via a related matrix Riccati differential...
Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity.
Oscillation and global asymptotic stability of a neuronic equation with two delays.