Shift operators and bilinear system theory
- 1 January 1978
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
By using shift operators on linear spaces a theory of bilinear systems is presented. A restricted backward shift realization (RBSR) of a Volterra series input-output map is introduced. The RBSR is used to solve the bilinear realization problem. The RBSR is used to develop a theory of minimality for bilinear systems. Minimal bilinear systems are shown to be equivalent. The RBSR is used to develop a theory of reachability and observability for bilinear systems. An algorithm that computes the minimal bilinear realization of a Volterra series input-output map is given.Keywords
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