Realization theory for symmetric systems

Realization Theory of Hybrid Systems

An Algorithm for Multi-Realization of Nonlinear MIMO Systems

This paper presents a theoretical approach to implementation of the “Multi-realization of nonlinear MIMO systems”. This method aims to find state-variable realization for a set of systems, sharing as many parameters as possible. In this paper a special nonlinear multi-realization problem, namely the multi-realization of feedback linearizable nonlinear systems is considered and an algorithm for ...

On realization theory of quantum linear systems

The purpose of this paper is to study the realization theory of quantum linear systems. It is shown that for a general quantum linear system its controllability and observability are equivalent and they can be checked by means of a simple matrix rank condition. Based on controllability and observability a specific realization is proposed for general quantum linear systems in which an uncontroll...

Realization Theory of Bilinear Hybrid Systems

The paper deals with the realization theory of bilinear hybrid systems, i.e. hybrid systems with continuous dynamics determined by bilinear control systems. We will formulate necessary and sufficient conditions for the existence of a bilinear hybrid system realizing a set of specified input/output maps. We will also present a characterization of a minimal bilinear hybrid realization and a proce...

Realization Theory for Deterministic Boundary-value Descriptor Systems

This paper examines the realization of acausal weighting patterns with two-point boundary-value descriptor systems (TPBVDSs). We restrict our attention to the subclass of TPBVDSs which are extendible, i.e., whose input-output weighting pattern can be extended outwards indefinitely, and stationary, so that their weighting pattern is shift-invariant. Then, given an infinite acausal shift-invarian...