The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “The invariant cone of slowly oscillating solutions to two delay differential equations.”

A Perron-type theorem for nonautonomous delay equations

Luis Barreira, Claudia Valls (2013)

Open Mathematics

Similarity:

We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.

Delay differential systems with time-varying delay: new directions for stability theory

James Louisell (2001)

Kybernetika

Similarity:

In this paper we give an example of Markus–Yamabe instability in a constant coefficient delay differential equation with time-varying delay. For all values of the range of the delay function, the characteristic function of the associated autonomous delay equation is exponentially stable. Still, the fundamental solution of the time-varying system is unbounded. We also present a modified example having absolutely continuous delay function, easily calculating the average variation of the...

Delay-dependent asymptotic stabilitzation for uncertain time-delay systems with saturating actuators

Pin-Lin Liu (2005)

International Journal of Applied Mathematics and Computer Science

Similarity:

This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.