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The standard H problem in systems with a single input delay

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1 Author(s)
Tadmor, G. ; Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA

The standard H problem is solved for LTI systems with a single, pure input lag. The solution is based on state-space analysis, mixing a finite-dimensional and an abstract evolution model. Utilizing the relatively simple structure of these distributed systems, the associated operator Riccati equations are reduced to a combination of two algebraic Riccati equations and one differential Riccati equation over the delay interval. The results easily extend to finite time and time-varying problems where the algebraic Riccati equations are substituted by differential Riccati equations over the process time duration

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Automatic Control, IEEE Transactions on  (Volume:45 ,  Issue: 3 )