Eigenvalue and stability of singular differential delay systems

Uncertain Discrete Delay Singular Systems: Delay-Dependent Stability and Stabilization

The problems of delay-dependent robust stability and stabilization of a class of uncertain, linear discrete-time singular systems with state-delay are examined. The parametric uncertainties are assumed to be time-invariant and normbounded appearing in the state and delay matrices. A new system representation is developed to derive new delay-dependent stability criteria without relying on overbo...

Stability and stabilization of delay differential systems

AIrstract-The delay systems considered here are represented by linear delay differential equations. The system parameters and the delays are assumed to be imperfectly known. The instantaneous state vector is perturbed by a bounded external disturbance vector. The problem addressed is that of characterizing conditions that guarantee that the trajectory of the instantaneous state vector remains i...

A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems

Stability of Solution for Nonlinear Singular Systems with Delay

In this paper, we present new definitions of stability for singular systems with delay by using the thoughts of B.Baji'c and M.Mili'c, and establish theorem on stability. Then the sufficient conditions for uniformly stability of a class of special nonlinear singular systems with delay are given.

Robust Stability of Singular Systems with State Delay

In this paper, we consider the problem for singular systems with state delay. We mainly focus on the problems of absolute delay-dependent stability using the Lyapunov function method and give sufficient conditions in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the application of the proposed method. References [1] Izumi Masubuchi, ∞ H control for descript...