Abstract
In this chapter we develop a structure analysis of the state-space of bilinear systems, starting from suitable input-state and state-output interaction properties. An interesting feature of this analysis lies in the possibility of generalizing to bilinear systems all the main results which hold in the structure theory of linear systems: state-space decomposability and existence of canonical forms of the equations, dependence of the zero-state input-output map on a subsystem, etc. Another feature to be emphasized is that all these results can be obtained by means of standard linear algebraic tools.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1972 Springer-Verlag Wien
About this chapter
Cite this chapter
Ruberti, A., Isidori, A., D’Alessandro, P. (1972). Structure Analysis. In: Theory of Bilinear Dynamical Systems. International Centre for Mechanical Sciences, vol 158. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2979-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2979-1_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81206-8
Online ISBN: 978-3-7091-2979-1
eBook Packages: Springer Book Archive