Input-to-state stability and stabilizability of infinite-dimensional linear systems / vorgelegt von Robert Nabiullin aus Satobolsk. Wuppertal, [2018?]
Content
- Introduction
- Orlicz spaces
- Young functions
- Orlicz spaces
- The 2-condition
- Convergence in Orlicz spaces
- The space E(I, U)
- Comparison of Young functions and Orlicz spaces
- Linear Systems
- Strong input-to-state stability
- Strong input-to-state stability and related notions
- Basic properties
- Strong ISS and Orlicz space admissibility
- Concluding comments
- Input-to-state stability
- Stability notions for infinite-dimensional systems
- Comparison of stability notions
- Integral ISS and Orlicz space admissibility
- Stability for parabolic diagonal systems
- Examples
- Concluding remarks
- Stabilizability of linear systems
- Stabilizability of finite-dimensional linear systems
- Spectral projections
- Exponential stabilizability
- Regular linear systems
- Strong stabilizability
- Polynomial stabilizability
- Stabilizability of systems with bounded control operators
- Concluding remarks
- Index
- Danksagung