Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
Le Liu, Yu Kawano, Antai Xie, Ming Cao · International Journal of Robust and Nonlinear Control · 2025
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances. The proposed framework extends beyond initial state protection to also cover system parameter privacy, which is demonstrated as a special application.