A Classification of Feedback Linearizable Mechanical Systems with 2 Degrees of Freedom

1. Nijmeijer, H., van der Schaft, A.J.: Nonlinear Dynamical Control Systems. Springer-Verlag, New York (1990). ISBN 978-0-387-97234-3

   Book  Google Scholar 

2. Respondek, W.: Introduction to geometric nonlinear control; linearization, observability and decoupling. In: Mathematical Control Theory No.1, Lecture Notes Series of the Abdus Salam, ICTP, vol. 8, Trieste (2001)

   Google Scholar 

3. Jakubczyk, B., Respondek, W.: On linearization of control systems. Bull. Acad. Polonaise Sci. Ser. Sci. Math. 28, 517–522 (1980)

   MathSciNet  MATH  Google Scholar 

4. Isidori, A.: Nonlinear Control Systems, 3rd edn. Springer-Verlag, Berlin (1995)

   Book  Google Scholar 

5. Bullo, F., Lewis, A.D.: Geometric Control of Mechanical Systems. Modeling, Analysis and Design for Simple Mechanical Control Systems. Springer-Verlag, New York (2004)

   MATH  Google Scholar 

6. Respondek, W., Ricardo, S.: Equivariants of mechanical control systems. SIAM J. Control Optim. 51(4), 3027–3055 (2013)

   Article  MathSciNet  Google Scholar 

7. Murray, M., Rathinam, M., Sluis, W.: Differential flatness of mechanical control systems: a catalog of prototype systems. In: ASME International Mechanical Engineering Congress and Exposition. Citeseer (1995)

   Google Scholar 

8. Respondek, W., Ricardo, S.: On linearization of mechanical control systems. IFAC Proc. Volumes 45(19), 102–107 (2012)

   Article  Google Scholar 

9. van der Schaft, A.: Linearization of Hamiltonian and gradient systems. IMA J. Math. Control Inf. 1, 185–198 (1984)

   Article  Google Scholar 

10. Wan, C., Bernstein, D., Coppola, V.: Global stabilization of the oscillating eccentric rotor. Nonlinear Dyn. 10, 49–62 (1995)

    Article  Google Scholar 

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