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Linear Matrix Inequalities in Control

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Major goals for control and optimization<br />

Dist<strong>in</strong>guish easy from difficult problems. (Convexity is key!)<br />

What are consequences of convexity <strong>in</strong> optimization?<br />

What is robust optimization?<br />

How to check robust stability by convex optimization?<br />

Which performance measures can be dealt with?<br />

How can controller synthesis be convexified?<br />

What are limits for the synthesis of robust controllers?<br />

How can we perform systematic ga<strong>in</strong> schedul<strong>in</strong>g?<br />

Siep Weiland and Carsten Scherer (DISC) <strong>L<strong>in</strong>ear</strong> <strong>Matrix</strong> <strong>Inequalities</strong> <strong>in</strong> <strong>Control</strong> Class 1 10 / 59

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