Standardizability and H2-Optimization of Sampled-Data Systems with Multiple Delays


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Abstract

This paper introduces the concept of generalized standard sampled-data systems with delay Sg and considers a class of multidimensional sampled-data systems that are equivalent to a certain system Sg. Such systems are called standardizable. Necessary and sufficient standardizability conditions are established. For the system Sg and standardizable systems, the H2-optimization problem is solved using the Wiener–Hopf method. As demonstrated below, the H2-optimization problem for a standardizable system with multiple delays is reduced to a similar problem for a standard system with single delay, which significantly simplifies calculations and qualitative analysis of the H2-optimal system.

About the authors

E. N. Rosenwasser

State University of Ocean Technology

Author for correspondence.
Email: fishka33@mail.ru
Russian Federation, St. Petersburg

B. P. Lampe

University of Rostock

Email: torsten.jeinsch@uni-rostok.de
Germany, Rostock

W. Drewelow

University of Rostock

Author for correspondence.
Email: wolfgang.drewelow@uni-rostok.de
Germany, Rostock

T. Jeinsch

University of Rostock

Author for correspondence.
Email: torsten.jeinsch@uni-rostok.de
Germany, Rostock

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