Thursday, April 23, 2020

Books to Study to Learn Geometric Control Theory

Here is a list of books to study to learn geometric control theory:

Ogata
  1. Stewart https://www.amazon.com/Calculus-James-Stewart/dp/1337624187/
  2. Zill https://smile.amazon.com/Differential-Equations-Boundary-Value-Problems-Dennis-ebook/dp/B00B6G3JBE/
  3. Lay or Robbin (Robbin is a personal favorite; his original manuscript for the book is even better) https://smile.amazon.com/Linear-Algebra-Its-Applications-David-ebook/dp/B00XIHIO6E/ https://smile.amazon.com/Matrix-Algebra-Using-MINimal-MATlab-ebook/dp/B00SC80XLS/
  4. Munkres https://smile.amazon.com/Analysis-Manifolds-Advanced-Books-Classics/dp/0201315963/
  5. Kosinsiki https://smile.amazon.com/Differential-Manifolds-Pure-Applied-Mathematics/dp/0124218504/ 
  6. Bott and Tu https://smile.amazon.com/Differential-Algebraic-Topology-Graduate-Mathematics/dp/0387906134/   
  7. do Carmo https://smile.amazon.com/Riemannian-Geometry-Manfredo-Perdigao-Carmo/dp/0817634908/
  8. Arnold https://smile.amazon.com/Mathematical-Classical-Mechanics-Graduate-Mathematics/dp/0387968903/
  9. Norton https://www.amazon.com/ISE-Design-of-Machinery/dp/1260590844/ (This is really the lynch pin connecting manifold topology to mechanical systems.)
  10. Close, Frederick, and Newell https://www.amazon.com/Modeling-Analysis-Dynamic-Systems-Newell/dp/8126539291/
  11. Fundamentals of Electrical Circuits https://smile.amazon.com/Fundamentals-Electric-Circuits-Charles-Alexander/dp/0078028221/ 
  12. Dorf and Bishop https://smile.amazon.com/Modern-Control-Systems-13th-Richard/dp/0134407628/
  13. Nise https://smile.amazon.com/Control-Systems-Engineering-Norman-Nise-ebook/dp/B00UGE1DJW/ 
  14. Ogata https://www.amazon.com/Discrete-Time-Control-Systems-Katsuhiko-Ogata/dp/0130342815/
  15. Bullo and Lewis https://smile.amazon.com/Geometric-Control-Mechanical-Systems-Mathematics-ebook/dp/B07ZKTDN9X/
  16. Vrabie, Vamvoudakis, and Lewis https://www.amazon.com/Adaptive-Differential-Reinforcement-Learning-Principles/dp/1849194890/