Model Reduction of Heterogeneous Distributed Systems

Sikandar Samar, Carolyn Beck

Research output: Contribution to journalConference article

Abstract

This paper presents a new approach for model reduction of distributed state space systems. It is applicable to spatio-temporal systems that evolve in discrete time over a finite interval; the spatial structure of these systems is also inherently discrete. The main contribution of this paper is that it allows the underlying system dynamics to be shift variant with respect to spatial or temporal variables. The simplification technique presented in this paper relies on control synthesis results developed for heterogeneous systems. It is stated in terms of inequalities on finite dimensional space which can be immediately converted to linear matrix inequalities (LMIs), making the reduction problem readily amenable to computation.

Original languageEnglish (US)
Pages (from-to)5271-5276
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume5
StatePublished - Dec 1 2003
Event42nd IEEE Conference on Decision and Control - Maui, HI, United States
Duration: Dec 9 2003Dec 12 2003

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Heterogeneous Systems
Model Reduction
Distributed Systems
Linear matrix inequalities
Dynamical systems
Spatial Structure
System Dynamics
Simplification
Immediately
Matrix Inequality
Linear Inequalities
State Space
Discrete-time
Synthesis
Interval

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Model Reduction of Heterogeneous Distributed Systems. / Samar, Sikandar; Beck, Carolyn.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 5, 01.12.2003, p. 5271-5276.

Research output: Contribution to journalConference article

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