Basic concepts / Part I: |
Systems / 1: |
System definition / 1.1: |
System behavior / 1.2: |
Examples / 1.3: |
Composing systems / 1.4: |
Notes / 1.5: |
Verification problems / 2: |
Sa $$ Sb / 2.1: |
Control problems / 2.2: |
Sc $$ Sa $$ Sb / 3.1: |
Finite systems / 3.2: |
Exact system relationships / 4: |
Behavioral relationships / 4.1: |
Similarity relationships / 4.2: |
Alternating similarity relationships / 4.3: |
Verification / 4.4: |
Behavioral relations / 5.1: |
Similarity relations / 5.2: |
Control / 5.3: |
Feedback composition / 6.1: |
Safety games / 6.2: |
Reachability games / 6.3: |
Behavioral games / 6.4: |
Similarity games / 6.5: |
Infinite Systems: Exact symbolic models / 6.6: |
Exact symbolic models for verification / 7: |
Dynamical and hybrid dynamical systems as systems / 7.1: |
Timed automata / 7.2: |
Order minimal hybrid dynamical systems / 7.3: |
Sign based abstractions / 7.4: |
Barrier certificates / 7.5: |
Computation of reachable sets / 7.6: |
Advanced topics / 7.7: |
Exact symbolic models for control / 7.8: |
Control systems as systems / 8.1: |
Controller refinement / 8.2: |
Discrete-time linear control systems / 8.3: |
Continuous-time multi-affine control systems / 8.4: |
Infinite Systems: Approximate symbolic models / 8.5: |
Approximate system relationships / 9: |
Approximate similarity relationships / 9.1: |
Approximate alternating similarity relationships / 9.2: |
Approximate symbolic models for verification / 9.3: |
Stability of linear dynamical systems / 10.1: |
Dynamical systems as systems / 10.2: |
Symbolic models for affine dynamical systems / 10.3: |
Approximate symbolic models for control / 10.4: |
Stability of linear control systems / 11.1: |
Control and switched systems as systems / 11.2: |
Approximate feedback composition and controller refinement / 11.3: |
Symbolic models for affine control systems / 11.4: |
Symbolic models for switched affine systems / 11.5: |
Appendix / 11.6: |
Lattice theory / A.1: |
Fixed-points / A.2: |
References |
Index |