Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces

Abstract

This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ẋ = A(t)x+A1(t)x(t− h) +B(t)u . The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not… (More)

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