Controllability Of Linear Descriptor Systems Research Articles

The controllability of linear descriptor systems using direct methods

In this paper, the controllability of linear descriptor systems is investigated by using a direct approach. This approach is based on viewing the system as a whole. In general method, the system is first decomposed into two subsystems in the canonical form. Then, these subsystems are dealt with separately. However, in this paper, we developed the system generally not viewed separately. Then, we derived the structure of controllable subspaces for linear descriptor systems. From these results, we can state the definition of a controllable matrix and then we investigated the properties of the linear descriptor systems related to the controllability matrices by using geometric term.

Properties of Pattern Matrices With Applications to Structured Systems

In cases where we do not have the exact parameter values of a mathematical model, we often have at least some structural information, e.g., that some parameters are nonzero. Such information can be captured by so-called pattern matrices, whose symbolic entries are used to represent the available information about the corresponding parameters. In this letter, we focus on pattern matrices with three types of symbolic entries: those that represent zero, nonzero, and arbitrary parameters. We formally define and study addition and multiplication of such pattern matrices. The results are then used in the algebraic characterization of three strong structural properties. In particular, we provide sufficient conditions for controllability of linear descriptor systems, necessary and sufficient conditions for input-state observability, and sufficient conditions for output controllability of linear systems.

Controllability of linear descriptor systems

This brief studies the controllability of linear descriptor systems with multiple time delays in control. Several controllability concepts are investigated. First, necessary and sufficient criteria for the controllability of the canonical system are established. Then, equivalent criteria for that of the general system are given. Finally, it is pointed out that the controllability is independent of the size of the time delays.

Sufficient conditions for the controllability of linear descriptor systems with both time-varying structured and unstructured parameter uncertainties

In this paper, under assumptions that the linear nominal descriptor system is regular and controllable, some sufficient conditions are proposed to preserve the assumed properties when both time‐varying structured and unstructured parameter uncertainties are added into the nominal descriptor system. The corresponding results for the dual observability robustness problems are straightforward extensions. It is shown that the proposed sufficient conditions are the generalized versions of the results reported recently in the literature.

A note on constrained controllability of linear descriptor systems

In this note, necessary and sufficient conditions are established for global controllability of linear discrete-time descriptor systems with constrained controls