The H∞ control problem is solved (original) (raw)

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The H∞ control problem, originally framed by G. Zames, has a rich history with several proposed solutions. This paper formally states and discusses the problem, providing historical context and detailing a definitive solution introduced by P. Apkarian and D. Noll in 2006. It also explores the concept of H∞-system reduction and contrasts the H∞ norm with the H2 norm, emphasizing the stability and control challenges inherent in this complex optimization problem.

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