A property-driven adaptive time-step reachability algorithm for linear continuous systems that uses safety properties to enable larger steps and fewer iterations than error-driven or fixed-step methods, with optimizations for matrix exponentials and error balancing.
Reachability of Uncertain Linear Systems Using Zonotopes
4 Pith papers cite this work. Polarity classification is still indexing.
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Orthogonal transformations before order reduction in matrix zonotopes produce order-of-magnitude smaller reachable set volumes while keeping generator counts comparable.
Optimizing blended-wing-body aircraft wing half-spans via reachable sets of linear longitudinal dynamics yields up to 30% lower angle-of-attack tracking error on the resulting nonlinear model under reference tracking control.
A new matrix zonotope perturbation method with coefficient-space approximation enables faster and less conservative data-driven reachability analysis than prior CMZ or MZ approaches.
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Reachability-Based Design Optimization for Aircraft Maneuverability
Optimizing blended-wing-body aircraft wing half-spans via reachable sets of linear longitudinal dynamics yields up to 30% lower angle-of-attack tracking error on the resulting nonlinear model under reference tracking control.