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Delay effects on the discontinuous stabilization of the nonholonomic integrator and its generalizations
William Clark, Anthony Bloch
The nonholonomic integrator is a famous example in feedback design - although it is small-time locally controllable to the origin, no continuous feedback law exists. Therefore, any…
Dissipation-assisted stabilization of periodic orbits via actuated exterior impacts in hybrid mechanical systems with symmetry
William Clark, Leonardo Colombo, Anthony Bloch
Impulsive mechanical systems exhibit discontinuous jumps in their state, and when such jumps are triggered by spatial events, the geometry of the impact surface carries information…
Stable Walking for Bipedal Locomotion under Foot-Slip via Virtual Nonholonomic Constraints
Leonardo Colombo, Álvaro Rodríguez Abella, Alexandre Anahory Simoes +1
Foot slip is a major source of instability in bipedal locomotion on low-friction or uncertain terrain. Standard control approaches typically assume no-slip contact and therefore de…