October 8, 2019 Thesis Open Access

DECHASA GEREMU EJERSO

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{
  "DOI": "10.20372/nadre:16156", 
  "author": [
    {
      "family": "DECHASA GEREMU EJERSO"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2019, 
        10, 
        8
      ]
    ]
  }, 
  "abstract": "<p>Major Advisor: Boka Kumsa (PhD)</p>\n\n<p>Co- Advisor: Alemu Geleta (PhD)</p>\n\n<p>Abstract</p>\n\n<p>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.</p>\n\n<p>Keywords: Discrete time, linear matrix inequality (LMI), parameter uncertainty, robust stability, robust stabilization, singular systems.</p>", 
  "title": "ROBUST STABILITY AND STABLIZATION OF LINEAR  UNCERTAIN DISCRETE - TIME SINGULAR SYSTEM", 
  "type": "thesis", 
  "id": "16156"
}