Abstract
We now turn to utilising the locally convex topologies from the preceding chapter to characterise time-varying vector fields and control systems. We shall see that the use of locally convex topologies allows for a comprehensive and unified treatment of these notions, and allows one to understand in a deep way their structure in a way which has hitherto not been possible. This is especially true in the real analytic case, where we describe new results of Jafarpour and Lewis [6, 7] on the structure of time-varying vector fields and control systems depending on state in a real analytic manner.
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