Recent results in robust parametric stability and control

The author describes some recent results obtained on the robust stability and control of systems containing parametric uncertainty. He begins with Kharitonov's theorem on interval systems and its generalization to control systems containing linearly correlated interval parametric uncertainty, obtained by H. Chapellat and S.P. Bhattacharyya in 1989. The relationship of this result, called the linear CB theorem and of its generalization to the multilinear case, to extremal stability subsets and other connections constitutes an extensive and coherent theory of robust parametric stability. This theory is summarized.<
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