Realization Theory for Linear and Bilinear Switched Systems: a Formal Power Series Approach Part I: Realization Theory of Linear Switched Systems
نویسنده
چکیده
The paper represents the first part of a series of papers on realization theory of switched systems. Part I presents realization theory of linear switched systems, Part II presents realization theory of bilinear switched systems. More precisely, in Part I necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by a linear switched system and a characterization of minimal realizations is presented. The paper treats two types of switched systems. The first one is when all switching sequences are allowed. The second one is when only a subset of switching sequences is admissible, but within this restricted set the switching times are arbitrary. The paper uses the theory of formal power series to derive the results on realization theory. Mathematics Subject Classification. 93B15, 93B20, 93B25, 93C99. Received July 29, 2005. Revised January 3rd, 2008 and September 12, 2009. Published online March 31, 2010.
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Modelling, Analysis and Simulation Modelling, Analysis and Simulation Realization theory for linear and bilinear switched systems: a formal power series approach
The paper deals with the realization theory of linear and bilinear switched systems. Necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by a (bi)linear switched system. Characterization of minimal realizations is presented. The paper treats two types of (bi)linear switched systems. The first one is when all switching sequences are allowed. The ...
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