3 citations · 5 across the 7 of their papers we have counts for
7 papers
On Symmetries in Analytic Input-Output Systems
W. Steven Gray, Erik I. Verriest
There are many notions of symmetry for state space models. They play a role in understanding when systems are time reversible, provide a system theoretic interpretation of thermody…
Energy Optimal Control of a Harmonic Oscillator with a State Inequality Constraint
Mi Zhou, Erik I Verriest, Chaouki Abdallah
In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time p…
Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications
Mi Zhou, Erik I. Verriest, Yue Guan +1
This paper presents the jump law of co-states in optimal control for state-dependent switched systems. The number of switches and the switching modes are assumed to be known a prio…
Bendable Cuboid Robot Path Planning with Collision Avoidance using Generalized Norms
Nak-seung P. Hyun, Patricio A. Vela, Erik I. Verriest
Optimal path planning problems for rigid and deformable (bendable) cuboid robots are considered by providing an analytic safety constraint using generalized norms. For regula…
Optimal periodic locomotion for a two piece worm with an asymmetric dry friction model
Nak-seung P. Hyun, Erik I. Verriest
This paper solves the optimization problem for a simplified one-dimensional worm model when the friction force depends on the direction of the motion. The motion of the worm is con…
Maximally persistent connections for the periodic type
Abdul Basit Memon, Erik I. Verriest
This paper considers the optimal control problem of connecting two periodic trajectories with maximal persistence. A maximally persistent trajectory is close to the periodic type i…
Kernel representation approach to persistence of behavior
Abdul Basit Memon, Erik I. Verriest
The optimal control problem of connecting any two trajectories in a behavior B with maximal persistence of that behavior is put forth and a compact solution is obtained for a gener…