Exponential stability for a class of state-dependent delay equations via the Crandall–Liggett approach

Exponential Stability of Impulsive Delay Differential Equations

and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗

On delay-dependent stability for a class of nonlinear stochastic delay-differential equations

Global asymptotic stability conditions for discrete nonlinear scalar stochastic systems with state delay are obtained based on the convergence theorem for semimartingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. The Lyapunov-Krasovskii and degenerate functionals techniques are used. The derived stability conditions are directly expressed in terms of ...

Stability of Periodic Solutions of State-Dependent Delay-Differential Equations

We consider a class of autonomous delay-differential equations

Exponential stability for a class of functional differential equations

Exponential Delay-dependent Stability for Linear Discrete Time Delay Systems

To satisfy the performance specification and to have a good transient response of the system, the controlled system is often designed to possess a specific stability degree. If the controlled system has a stability degree  , we say that the system is exponentially stable. This paper gives sufficient condition for the exponential stability of linear discrete time delay systems. This new, delay-...