this paper presents h∞ control problem for input-delayed systems. a neutral system approach is considered to the design of pd controller for input delay systems in presence of uncertain time-invariant delay. using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. the significant specification of this neutral system is that its delayed coeff...

This paper presents H∞ control problem for input-delayed systems. A neutral system approach is considered to the design of PD controller for input delay systems in presence of uncertain time-invariant delay. Using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. The significant specification of this neutral system is that its delayed coeff...

This paper is concerned with the existence and uniqueness of invariant measures for infinite-dimensional stochastic delay lattice systems defined on entire integer set. For Lipschitz drift diffusion terms, we prove by showing tightness a family probability distributions solutions in space continuous functions from finite interval to an space, based idea uniform tail...

In this paper, we apply the concept of positive invariance to continuous-time delay linear system. Necessary and sufficient algebraic conditions with delay dependence allowing to obtain the largest positively invariant set of delay system are given. The results can include information on the size of delay, and therefore, can be delay dependence positively invariant conditions. A numerical examp...

Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary delay-free systems which are built by deleting the delayed dynamics or considering that the delay is zero. Explicit asymptotic stability results, easy to test, are given for both ...

This paper presents a survey on the recent contributions to linear time-invariant delaydifferential systems in the behavioral approach. In this survey both systems with commensurate and with incommensurate delays will be considered. The emphasis lies on the investigation of the relationship between various systems descriptions. While this can be understood in a completely algebraic setting for ...

This paper presents a comparison system approach for the analysis of stability and H1 performance of linear time-invariant systems with unknown delays. The comparison system is developed by replacing the delay elements with certain parameter-dependent Pad! e approximations. It is shown using the special properties of the Pad! e approximation to e s that the value sets of these approximations pr...