Contents  
1 Introduction  
2 Background  
2.1 Notation  
2.2 List of acronyms  
2.3 Considered class of systems  
2.4 Existence, uniqueness, regularity of solutions  
2.5 Forward completeness  
2.6 Functional derivatives along solutions  
2.7 Lyapunov-like conditions for robust forward completeness  
3 Input-free properties  
4 Input-to-state stability  
5 Integral input-to-state stability  
6 Input-to-output stability  
7 Systems interconnection  
8 Open questions