Introduction.- Part I Modelling.- An Overview of Drillstring Models.- Bit-Rock Frictional Interface.- Comprehensive Modelling of a Vertical Oilwell Drilling System.- Part II Analysis.- Neural-Type Time-Delay Systems: Theoretical Background.- Bifurcation Analysis of the Drilling System.- Ultimate Boundedness and Analysis.- Part III Control.- Field Observations and Empirical Drilling Control.- Low-Order Controllers.- Flatness-Based Control of Drilling Vibrations.- Stick-Slip Control: Lyapunov-Based Approach.- Practical Stabilization of the Drilling System.- Performance Analysis of the Controllers.- Appendices: Short Summary of Classical Local Bifurcations.- Lyapunov Stability Theory.- Drilling Model Parameters.- Pontryagin Stability Conditions.
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