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.
KeywordsState Space Canonical Form Invariant Subspace Bilinear System Unobservable State
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