
This paper considers a \(H_\infty\)-control problem for a class of controlled dynamical systems in Hilbert spaces. The results of the present paper are also related to the existence of quadratic Lyapunov functionals in the Hilbert state space of a closed system, but are not based on any special subclass of functionals. An application to delay differential equations is given.
absolute stabilization, Control/observation systems governed by functional-differential equations, delay differential equations, \(H_\infty\)-optimal control theory, Lyapunov and storage functions, \(H^\infty\)-control, Stabilization of systems by feedback, Control/observation systems in abstract spaces, Popov-type stability of feedback systems
absolute stabilization, Control/observation systems governed by functional-differential equations, delay differential equations, \(H_\infty\)-optimal control theory, Lyapunov and storage functions, \(H^\infty\)-control, Stabilization of systems by feedback, Control/observation systems in abstract spaces, Popov-type stability of feedback systems
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