We study the disturbance decoupling problem for linear time invariant singular systems. We give necessary and sufficient conditions for the existence of a solution to the disturbance decoupling problem with or without stability via a proportional and derivative feedback and proportional and derivative output injection that also makes the resulting closed-loop system regular and/or of index at m...

the physiological process of germination depends on several environmental factors such as temperature, water potential, light, nutrients and smoke. water and temperature are determinant factors for seed germination. both factors can, separately or jointly, affect the germination percentage and germination rate. the effect of temperature on germination and water potential on germination canoften...

We consider the effect of parametric uncertainty on properties of Linear Time Invariant systems. Traditional approaches to this problem determine the worst-case gains of the system over the uncertainty set. Whilst such approaches are computationally tractable, the upper bound obtained is not necessarily informative in terms of assessing the influence of the parameters on the system performance....

State transfer functions are derived for linear time invariant differential-algebraic equations of arbitrary index subject to insufficient smoothness in the forcing functions. As a result, it is demonstrated that the problem of reinitialization after discontinuities is always fully and uniquely determined. Algorithmic implementations and extensions to the linear time varying and nonlinear cases...

This paper deals with a novel approach to unknown inputs observer(UIO) design for linear time-invariant dynamical systems using a block pulse function's diierential operation. Generally, UIO has a derivation of system outputs which is not available from the measurement directly. And it is an obstacle to estimate the unknown inputs properly when unexpected measurement noises are presented. There...

We provide a theoretical framework for model predictive control of infinite-dimensional systems, like, e.g., nonlinear parabolic PDEs, including stochastic disturbances of the input signal, the output measurements, as well as initial states. The necessary theory for implementing the MPC step based on an LQG design for infinite-dimensional linear time-invariant systems is presented. We also brie...

Control and observation are in general not dual problems. While the pole placement parts of the classical static state feedback control problem on the one hand and the classical full state observer problem on the other hand are dual in the classical sense (in the context of linear time-invariant plants in input/state/output form), this is not true for the full state feedback control/state obser...

In this paper, the Gaussian relay channel with linear time-invariant relay filtering is considered. Based on spectral theory for stationary processes, the maximum achievable rate for this subclass of linear Gaussian relay operation is obtained in finite-letter characterization. The maximum rate can be achieved by dividing the overall frequency band into at most eight subbands and by making the ...