Recursive reduced-order algorithm for singularly perturbed cross grammian algebraic sylvester equation

Intessar Al-Iedani, Zoran Gajic

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A new recursive algorithm is developed for solving the algebraic Sylvester equation that defines the cross Grammian of singularly perturbed linear systems. The cross Grammian matrix provides aggregate information about controllability and observability of a linear system. The solution is obtained in terms of reduced-order algebraic Sylvester equations that correspond to slow and fast subsystems of a singularly perturbed system. The rate of convergence of the proposed algorithm is Oϵ, where ϵ is a small singular perturbation parameter that indicates separation of slow and fast state variables. Several real physical system examples are solved to demonstrate efficiency of the proposed algorithm.

Original languageEnglish (US)
Article number2452746
JournalMathematical Problems in Engineering
Volume2016
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering

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