Realization Theory for Deterministic Boundary-Value Descriptor Systems

Abstract

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-invariant weighting pattern, the realization problem consists in constructing a minimal TPBVDS over a fixed interval, whose extended weighting pattern matches the given pattern. The realization method which is proposed relies on a new transform, the (s,t) transform, which is used to determine the dimension of a minimal realization, and to construct a minimal realization by factoring two homogeneous rational matrices in the variables s and t.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA459684

Entities

People

  • Alan S. Willsky
  • Bernard C. Lévy
  • Ramine Nikoukhah

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundaries
  • Construction
  • Coordinate Systems
  • Difference Equations
  • Dynamics
  • Equations
  • Information Operations
  • Intervals
  • Scientific Research
  • Specifications
  • Standards
  • Stationary
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Linear Algebra