Smooth/impulsive linear systems: Axiomatic description

Linear Dynamical Systems: an Axiomatic Approach

Linear dynamical systems are introduced in a general axiomatic way, and their development is carried out in great simplicity. The approach is closely related both with the classical transfer function approach and with the Willems behavioral approach. 2000 Mathematics Subject Classification: 93A05, 93B05, 93B20, 93C15.

Linear Systems Description

The systems approach is a widely used practice in modeling artificial as well as natural phenomena. Each process or sub-process is viewed as an input-output system, as described graphically in Fig.1. This approach is used extensively in engineering, for example in modeling electronic and mechanical systems and in chemical process description. In this chapter we describe this approach and its ap...

Axiomatic Description of the Real Numbers

Attempts at axiomatic description of conditional independence

This paper concerns the problem of characterization of conditional-independence relations (the abbreviation CIR) which arises in connection with probabilistic expert systems. The first two sections contain some lately found properties (axioms) of CIRs; the rest of the paper is a proposal for a proper generalization of the concept of CIR. Since it is defined by means of the concept of multiinfor...

Linear description of ultrasound imaging systems