External Ellipsoidal Approximations for Set Evolution Equations

Autor: Steven Duda, Edeltraud Gehrig, Thomas Lorenz
Rok vydání: 2022
Předmět:
Zdroj: Journal of Optimization Theory and Applications. 192:759-798
ISSN: 1573-2878
0022-3239
DOI: 10.1007/s10957-021-01984-y
Popis: In many applications, uncertainty and imprecision in control systems require the focus on reachable sets instead of single state vectors. Then, closed-loop controls also refer to these attainable sets leading to a class of set evolution problems. We suggest sufficient conditions for its well-posedness and for approximating their solutions by intersections of finitely many time-dependent ellipsoids characterized by solutions to a system of ordinary differential equations.
Databáze: OpenAIRE
Externí odkaz: