As a precursor to the proof of the maximum principle for a general nonlinear system, in this chapter we develop the classical results about the structure of the reachable set for linear time-invariant systems with bounded control sets and prove Theorem 2.5.3 of Chap. 2.
CITATION STYLE
Schättler, H., & Ledzewicz, U. (2012). Reachable sets of linear time-invariant systems: From convex sets to the bang-bang theorem. In Interdisciplinary Applied Mathematics (Vol. 38, pp. 195–230). Springer Nature. https://doi.org/10.1007/978-1-4614-3834-2_3
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