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Trajectory control and interconnection of 1D and nD systems

Record type: Article

In this paper we examine the relationship between control viewed as concatenation of trajectories, and control viewed as interconnection of systems. We show that, for 1D linear time-invariant systems, the ability to obtain a given subsystem by regular interconnection (a prerequisite for any feedback-type structure) is equivalent to the ability to drive any trajectory into that subsystem. However in the case of multidimensional (nD) systems the former is a stronger property than the latter. Trajectory controllability can however be expressed as a regular interconnection of behaviors in an extended variable space, by introducing latent or auxiliary variables. This leads as a by-product to the notion of controlling a system by means of latent variables.

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Citation

Rocha, P. and Wood, J. (2001) Trajectory control and interconnection of 1D and nD systems SIAM J. Contr. Opt., 40, (1), pp. 107-34.

More information

Published date: 2001
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 256191
URI: http://eprints.soton.ac.uk/id/eprint/256191
PURE UUID: dd0f56f8-2196-47fd-b0b0-048b4c7b5231

Catalogue record

Date deposited: 21 Dec 2001
Last modified: 18 Jul 2017 09:48

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Contributors

Author: P. Rocha
Author: J. Wood

University divisions


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