Algorithmic Issues in the Synthesis of Dissipative Systems

Author: Belur M.N.   Trentelman H.L.  

Publisher: Taylor & Francis Ltd

ISSN: 1387-3954

Source: Mathematical and Computer Modelling of Dynamical Systems, Vol.8, Iss.4, 2002-12, pp. : 407-428

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Abstract

In this paper we discuss algorithmic issues that arise in the problem of synthesis of dissipative systems. We deal with linear differential systems that can be controlled only through a restricted set of variables called the control variables. The main feature of this paper is that we assume the system dynamics to be specified in the most general form: a latent variable representation. Starting from such a representation, we provide concrete algorithms that finally fetch a controller to implement the desired behavior. Many other peripheral algorithmic issues that crop up are also studied.