Block decoupling for linear systems over rings

Linear Systems over rings of operators

Input-output block decoupling of linear time-varying singular systems

The input–output block decoupling problem by state feedback is studied for linear time-varying singular systems. First, an algorithm, the regularization algorithm, is developed such that the system can be made by state feedback to have a unique impulse-free solution. Second, another algorithm, the block decoupling algorithm, is proposed, which provides sufficient conditions for the solvability ...

Block-decoupling linear multivariable systems: necessary and sufficient conditions

We study block decoupling of linear multivariable systems under unity-feedback configuration. We consider plants which have unstable pole-zero coincidences and give necessary and sufficient conditions for the existence of the block decoupling controllers. The conditions are particularly simple for plants with only simple unstable pole-zero coincidences. An illustrative example is given.

Disturbance decoupling problem for a class of descriptor systems with delay via systems over rings

In recent years, a considerable amount of research has been devoted to linear time-invariant descriptor systems (called also singular or differential–algebraic) and to delay differential systems because of their extensive applications. The presence of time delays, in fact, arises in various technical systems, such as electric, pneumatic and hydraulic networks, chemical processes, long transmiss...

Linear Systems over Noetherian Rings in the Behavioural Approach

In this paper we will study dynamical systems over Noetherian rings. We will follow the behavioural approach. We first study two particular cases: autonomous systems and controllable systems. In the first case we will be able to connect autonomous systems with finitely generated systems. Moreover we will propose several different concepts of controllability and analyze how they are connected ea...