External Ellipsoidal Approximations for Set Evolution Equations
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 12, 2022
- Source ID
- 10.1007/s10957-021-01984-y
Entities
People
- Edeltraud Gehrig
- Steven Duda
- Thomas Lorenz
Organizations
- Air Force Office of Scientific Research