In-Domain Stabilization of Block Diagonal Infinite-Dimensional Systems With Time-Varying Input Delays

This article is concerned with the in-domain stabilization of a class block diagonal infinite-dimensional systems in presence an uncertain and time-varying delay distributed control input. Two actuation schemes are considered. The first one assumes input that fully over domain. second finite-dimensional, acting domain via bounded operator. In both cases, design strategy consists predictor feedback law synthesized on finite-dimensional truncated linear time invariant (LTI) model capturing unstable dynamics original system. designed based knowledge nominal value delay. scheme, case distinct delays different scalar channels