October 8, 2019 Thesis Open Access

DECHASA GEREMU EJERSO

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    <subfield code="a">ROBUST STABILITY AND STABLIZATION OF LINEAR  UNCERTAIN DISCRETE - TIME SINGULAR SYSTEM</subfield>
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    <subfield code="a">&lt;p&gt;Major Advisor: Boka Kumsa (PhD)&lt;/p&gt;

&lt;p&gt;Co- Advisor: Alemu Geleta (PhD)&lt;/p&gt;

&lt;p&gt;Abstract&lt;/p&gt;

&lt;p&gt;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.&lt;/p&gt;

&lt;p&gt;Keywords: Discrete time, linear matrix inequality (LMI), parameter uncertainty, robust stability, robust stabilization, singular systems.&lt;/p&gt;</subfield>
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