This paper investigates the distributed consensus tracking control problem for general linear multi-agent systems with external disturbances and heterogeneous time-varying input communication delays under a directed graph topology, containing spanning tree. First, all agents whose state matrix has no eigenvalues positive real parts, communication-delay-related observer, which is used to constru...

We provide a new sequential predictors approach for the exponential stabilization of linear time-varying systems. Our method circumvents the problem of constructing and estimating distributed terms in the control laws, and allows arbitrarily large input delay bounds, pointwise time-varying input delays, and uncertainties. Instead of using distributed terms, our approach to handling longer delay...

Available solutions to sampled-data H 2 optimal control problems for systems with input delays begin with a conversion to a discrete-time problem with input delays, followed by a matching optimization method geared to handle delays. We propose to reverse that order and address the delay first, by an analog loop transformation. Hence, discretization and optimization involve no delays and are ame...

In this letter, the problem of stabilizing linear port-controlled Hamiltonian dynamics through interconnection and damping assignment in presence input delays is considered. The contribution exploits reduction approach allowing to reveal shape energy properties time-delay dynamics. Performances are illustrated on a simple mechanical system.