Proximal analysis and feedback construction. (English) Zbl 1116.93031

Control in dynamic systems. Dedicated to the memory of academician A. I. Subbotin. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2000, Suppl. 1, S72-S89 (2000).
Summary: For problems of stabilizability and state constrained optimal control, the proximal aiming technique of nonsmooth analysis is employed in order to construct discontinuous feedback laws with respect to a generalized solution concept for the underlying dynamics. These feedbacks are universal for prescribed sets of initial data and possess robustness properties with respect to state measurement errors and external disturbances.
For the entire collection see [Zbl 1116.93007].


93B52 Feedback control
49J52 Nonsmooth analysis
49N35 Optimal feedback synthesis
93C15 Control/observation systems governed by ordinary differential equations
93D15 Stabilization of systems by feedback
93D21 Adaptive or robust stabilization
93D30 Lyapunov and storage functions