It has recently been shown that a necessary and sufficient condition for the μstabilization of a linear time-invariant (LTI) retarded time-delay system by LTI decentralized finite-dimensional controllers is that the system should not have any μ-decentralized fixed modes with respect to decentralized static feedback. In the present work, we consider the stabilization of such systems by decentral...

The problem of controlling a linear time-invariant (LTI) system subject to input and output delays by means of structurally constrained controllers is considered in this paper. Necessary and sufficient conditions are given to determine if a distinct mode of the system is fixed with respect to a decentralized or overlapping information flow structure. In general, a fixed mode of a time-delay sys...

In this note we study the stability properties of lineartime-invariant delay systems. The specific notion under considerationis asymptotic stability independent of delay. As an attempt to achievea compromise between the complexity and tightness of various stabilitytests, we present a number of sufficient stability conditions which improveseveral previously available sufficie...

Decentralized controller design problem for linear time-invariant retarded commensurate-time-delay systems is considered. The continuous pole placement algorithm, which has recently been introduced for static state vector feedback controller design for retarded time-delay systems, is first extended to design dynamic output feedback controllers. This algorithm is then used in the proposed decent...

In this paper we prove that the same design method of constant controllers for a delay systems given in the literature can be used to stabilize a minimum phase systems with nonlinearly correlated perturbations in the coefficients. This type of perturbation is induced by the composition with strictly positive real functions. This result can also be interpreted on the context of simultaneous and ...

* Correspondence: danhuahe@zisu. edu.cn Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310012, P. R. China Full list of author information is available at the end of the article Abstract In this article, a class of impulsive non-autonomous delay difference equations with continuous variables is considered. By establishing a delay difference inequality with impul...

We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous cooperative systems. Specifically, we demonstrate that such systems are D-stable, meaning that global asymptotic stability is preserved under diagonal scaling. We also show that a delayed homogeneous cooperative system is globally asymptotically stable (GAS) for any non-negative delay if and only...

This paper gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2 problem is cast as a convex model matching problem. The main result shows that the model matching problem can be reduced to a finite-dimensional quadratic p...

A discrete predictor-based control method is developed for a class of linear time-invariant networked systems with sensor-to-controller time-varying delay and controller-to-actuator uncertain constant delay, which can be potentially applied to vision-based systems. The scheme composed state prediction controller. used compensate the effect system stabilized by Moreover, it shown that also robus...

In this paper, we characterize the achievable input performance for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for stabilization in both of the H2 and H∞ optimal control frameworks. The achievable input performance primarily depends on the joint controllability and observability of unstable poles. These results are also ...