Abstract
We derive partial differential inclusions of hyperbolic type the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. We also show that the tracking property leads to such partial differential inclusions. We prove a variational principle and an existence theorem of a (single-valued contingent) solution to such an inclusion.
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Aubin, JP., Frankowska, H. (1991). Feedback controls for uncertain systems. In: Di Masi, G.B., Gombani, A., Kurzhansky, A.B. (eds) Modeling, Estimation and Control of Systems with Uncertainty. Progress in Systems and Control Theory, vol 10. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0443-5_1
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DOI: https://doi.org/10.1007/978-1-4612-0443-5_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6762-1
Online ISBN: 978-1-4612-0443-5
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