October 8, 2019 Thesis Open Access

DECHASA GEREMU EJERSO

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  <dc:creator>DECHASA GEREMU EJERSO</dc:creator>
  <dc:date>2019-10-08</dc:date>
  <dc:description>Major Advisor: Boka Kumsa (PhD)

Co- Advisor: Alemu Geleta (PhD)

Abstract

This thesis deals with the problems of robust stability and stabilization for uncertain discretetime singular systems. The parameter uncertainties are assumed to be time-invariant and normbounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time singular system to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time singular systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively. With these conditions, the problems of robust stability and robust stabilization are solved.

Keywords: Discrete time, linear matrix inequality (LMI), parameter uncertainty, robust stability, robust stabilization, singular systems.</dc:description>
  <dc:identifier>https://zenodo.org/record/16156</dc:identifier>
  <dc:identifier>10.20372/nadre:16156</dc:identifier>
  <dc:identifier>oai:zenodo.org:16156</dc:identifier>
  <dc:relation>doi:10.20372/nadre:16155</dc:relation>
  <dc:relation>url:https://nadre.ethernet.edu.et/communities/20-25</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/odc-by</dc:rights>
  <dc:title>ROBUST STABILITY AND STABLIZATION OF LINEAR  UNCERTAIN DISCRETE - TIME SINGULAR SYSTEM</dc:title>
  <dc:type>info:eu-repo/semantics/doctoralThesis</dc:type>
  <dc:type>publication-thesis</dc:type>
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