2019/05/23 by Bernd Kolar, Kolar, Bernd, Markus Schöberl +1
Engineering · #Control and Stability of Dynamical Systems #Dynamical Systems (math.DS) #Dynamics and Control of Mechanical Systems #Elasticity and Wave Propagation #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1905.10933
openalex publication_date 2019/05/23 · openalex created_date 2019/05/29 · openalex updated_date 2026/07/28
Symmetry groups allow to transform solutions of differential equations continuously into other solutions. This property can be used for the observability analysis of infinite-dimensional systems with input and output. In this contribution, we extend an existing approach, which is based on vertical classical symmetries, to non-vertical classical symmetries and generalized symmetries. This makes the approach applicable to a much larger class of systems, since many nonlinear systems do not possess any vertical classical symmetries.