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The standard \(H_\infty\) problem in systems with a single input delay. (English) Zbl 0978.93026

The author has treated the standard \(H_\infty\) problem for systems with delay at the control actuator. By transforming the original system to an abstract Cauchy problem on a product space and using finite-dimensional computations, the author has reduced the operator Riccati equations (which are difficult to solve) to a pair of algebraic Riccati equations and a differential Riccati equation.

MSC:

93B36 \(H^\infty\)-control
93C23 Control/observation systems governed by functional-differential equations
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