2001/05/25 by Brian Ingalls, Eduardo D. Sontag, Ingalls, Brian +3
Engineering · Mathematics · #34A60 (Primary) 34D23 (Secondary) #Dynamical Systems (math.DS) #Extremum Seeking Control Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Vehicle Dynamics and Control Systems #math.DS #math.OC #msc:34A60 #msc:34D23
paper · pdf · doi:10.48550/arxiv.math/0105214
13 pages, 1 figure
arxiv created 2001/05/25 · openalex publication_date 2001/05/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wazewski Relaxation Theorem, which provides approximations of trajectories of a relaxed inclusion on finite intervals. A complementary result is presented, which provides approximations on infinite intervals, but does not guarantee that the approximation and the reference trajectory satisfy the same initial condition.