Selected Publications
- Zenkov,
D.V. and V.V. Kozlov [1988] On Geometric Poinsot Interpretation for an n-Dimensional
Rigid Body. Tr. Semin. Vectorn. Tenzorn. An. 23,
202–204.
- Zenkov, D.V. [1995] The Geometry of the Routh
Problem. J. Nonlinear Sci. 5, 503–519.
- Zenkov, D.V., A.M. Bloch, and J.E. Marsden
[1998] The
Energy-Momentum Method for Stability of Nonholonomic Systems. Dynamics
and Stability of Systems 13, 123–165.
(pdf)
- Zenkov, D.V. and A.M. Bloch [2000] Dynamics
of the n-Dimensional Suslov Problem. Journal of Geometry
and Physics 34,
121–136. (pdf)
- Zenkov, D.V., A.M. Bloch, N.E. Leonard, and
J.E. Marsden [2000] Matching and Stabilization of Low-Dimensional
Nonholonomic Systems. Proc. CDC 39, 1289–1295.
- Zenkov, D.V. and A.M. Bloch [2001] Dynamics
of Generalized Euler Tops with Constraints. Discrete and Continuous
Dynamical Systems (extended
volume), 398–405.
- Zenkov, D.V., A.M. Bloch, and J.E. Marsden
[2002] The Lyapunov–Malkin
Theorem and Stabilization of the Unicycle with Rider. Systems and
Control
Letters 45, 293–302. (pdf)
- Zenkov, D.V., A.M. Bloch, and J.E. Marsden [2002] Flat
Nonholonomic
Matching. Proc. ACC, 2812–2817. (pdf)
- Zenkov, D.V. [2002] Matching and Stabilization of Linear
Mechanical Systems, Proc. MTNS. (pdf)
- Zenkov, D.V. and A.M. Bloch [2003] Invariant
Measures
of Nonholonomic Flows with Internal degrees of Freedom, Nonlinearity
16, 1793–1807. (pdf)
- Zenkov, D.V. [2003] Linear Conservation Laws
of Nonholonomic Systems with Symmetry. Discrete and Continuous Dynamical Systems
(extended volume), 963–972. (pdf)
- Zenkov, D.V., A.M. Bloch, and J.E. Marsden
[2003] Controlled Lagrangian Methods and Tracking of Accelerated
Motions. Proc. CDC 42, 533–538. (pdf)
- Bloch, A.M., J.E. Marsden,
and D.V. Zenkov [2005] Nonholonomic Mechanics, Notices of the AMS 52, 324–333. (pdf)
- Fedorov, Yu.N. and D.V. Zenkov [2005] Dynamics of the Discrete Chaplygin Sleigh, Discrete and Continuous Dynamical Systems (extended volume), 258–267. (pdf)
- Fedorov, Yu.N. and D.V. Zenkov [2005] Discrete Nonholonomic LL systems on Lie Groups, Nonlinearity 18, 2211–2241. (pdf)
- Bloch, A.M., M. Leok, J.E. Marsden, and D.V. Zenkov [2005]
Controlled Lagrangians and Stabilization of the Discrete Cart-Pendulum
System, Proc. CDC 44, 6579–6584. (pdf)
- Osborne, J. and D.V. Zenkov [2005] Steering the Chaplygin Sleigh by a Moving Mass, Proc. CDC 44, 1114–1118. (pdf)
- Bloch, A.M., M. Leok, J.E. Marsden, and D.V. Zenkov [2006]
Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical
Systems, Proc. CDC 45, 3333–3338. (pdf)
- Bloch, A.M., J.E. Marsden, and D.V. Zenkov [2009]
Quasivelocities and Symmetries in Nonholonomic Systems,
Dynamical Systems
24, 187–222.
- Lynch, C., and D.V. Zenkov [2009]
Stability of Stationary Motions of Discrete-Time Nonholonomic Systems, In:
Problems of Analytical Mechanics and Stability Theory. Collection of Papers Dedicated to the Memory of Academician Valentine V. Rumyantsev,
Fizmatlit, Moscow,
259–271.
- Bloch, A.M., J.E. Marsden, and D.V. Zenkov [2009]
Quasivelocities and Stabilization of Relative Equilibria of Underactuated Nonholonomic Systems,
Proc. CDC
48, 3335–3340.
- Bloch, A.M., M. Leok, J.E. Marsden, and D.V. Zenkov [2010]
Controlled Lagrangians and Stabilization of Discrete Mechanical Systems,
Discrete and Continuous Dynamical Systems–Series S
3, 19–36.