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An investigation of the dynamic complementarity problem by methods of the theory of desynchronized systems. (English. Russian original) Zbl 0819.93065
Russ. Acad. Sci., Dokl., Math. 47, No. 2, 169-173 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 1, 5-8 (1993).
The so-called Skorokhod problem of processes with oblique reflection appears as the dynamic complementarity problem and methods of the theory of stability of desynchronized systems are used to get unique solvability. The output of the system is constrained to a closed convex set and the motion on the boundary is determined by a special law of reflection. Here, conditions on the generalized normal vector are studied to guarantee the unique determination of the output from the given input.

93D25 Input-output approaches in control theory