Abstract: This paper deals with the state estimation of linear time-invariant discrete systems with unknown inputs. The forward sequences of the output are treated as additional outputs. In this case, the rank condition for designing the unknown input estimator is relaxed. The gain for minimal estimation error variance is presented, and a numerical example is given to verify the proposed unknow...

This article briefly describes the topic of quantized control with limited data rates. The focus is on the problem of stabilizing a linear time-invariant plant over a digital channel, and the associated data rate theorems. It is shown that the deepest results in this area require a unified treatment of its communications and control aspects.

The behavior of a linear time-invariant differential system is defined as the set of solutions of a system of linear constantcoefficient differential equations. However, these behaviors can be represented in many other ways, for example, as the set of solutions of a system of equations involving a differential operator in a matrix of rational functions, rather than in a matrix of polynomials. T...

A generalized structure of complementary matrices involved in the input-state-output Inclusion Principle for linear time-invariant systems (LTI) including contractibility conditions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and suffici...

This paper presents a systematic study on the properties of blocked linear systems that have resulted from blocking discrete-time linear time invariant systems. The main idea is to explore the relationship between the blocked and the unblocked systems. Existing results are reviewed and a number of important new results are derived. Focus is given particularly on the zero properties of the block...

In this paper, H∞ control for a class of linear time invariant systems with infinitely many unstable poles is considered. An example of such a plant is a high gain system with delayed feedback. We formulate the problem via a generalized plant which consists of a rational transfer matrix and the inverse of a scalar (possibly irrational) inner function. It is shown that the problem can be separat...

In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.

In this paper we discuss the stabilization of large scale linear time invariant dynamical systems via feedback. An overview of efficient schemes based on the Discrete Riccati Difference Equation are presented. In particular, results are given for a Newton-like approach to the problem.

In this paper we consider continuous-time linear time-invariant single-input systems that depend on a single parameter. Given a family of desired states we aim to find open-loop control inputs which are independent of the parameter that simultaneously steer the zero initial state arbitrarily close to a family of terminal states. As an application we show that a family of networks of harmonic os...