Abstract
In this chapter, the exponential growth behavior of bilinear control systems on vector bundles is analyzed. Roughly, these are linear differential equations where the coefficients are determined by a nonlinear control system. Section 6.1 describes the main examples of these systems, in particular, the linearized control systems; introduces the relevant notions; and presents the main results. Section 6.2 describes the Morse spectrum of bilinear control flows on vector bundles and discusses the Floquet spectrum. Section 6.3 characterizes the Lya-punov spectrum under an inner pair condition, and Section 6.4 presents results on local stable manifolds.
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