Linear Matrix Inequalities in Control
Linear Matrix Inequalities in Control
Linear Matrix Inequalities in Control
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Outl<strong>in</strong>e of Part II<br />
2 Convex sets and convex functions<br />
Convex sets<br />
Convex functions<br />
3 Why is convexity important?<br />
Examples<br />
Ellipsoidal algorithm<br />
Duality and convex programs<br />
4 <strong>L<strong>in</strong>ear</strong> <strong>Matrix</strong> <strong>Inequalities</strong><br />
Def<strong>in</strong>itions<br />
LMI’s and convexity<br />
LMI’s <strong>in</strong> control<br />
5 A design example<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 3 / 59
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