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