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An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
Cubic Spline Trajectory Generation with Axis Jerk and Tracking Error Constraints
Cubic spline trajectory conned jerk PID controller tracking error minimum time
2013/9/9
This paper presents a cubic spline trajectory generation algorithm that produces continuous position, velocity, and acceleration proˉles for 3-axis CNC machines with conˉned axis jerk and tracking err...
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Navier-Stokes equations nonlocal Cahn-Hilliard equations incompressible binary fluids global attractors
2011/9/23
Abstract: The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonlocal varia...
About the trajectory synthesis to go back to nominal mode for a class of hybrid systems
hybrid automata reachability linear vector fields state-space
2011/9/19
Abstract: This paper presents basis parts of a new method to synthesize a return trajectory for a reactive process from a default mode to one of the nominal modes. The process is modeled with a hybrid...
Multiple Space Debris Collecting Mission - Debris selection and Trajectory optimization
Multiple Space Debris Collecting Mission Trajectory optimization Systems and Control
2011/9/29
Abstract: A possible mean to stabilize the LEO debris population is to remove each year 5 heavy debris like spent satellites or launchers stages from that space region. This paper investigates the Del...
Flash memory is well-known for its inherent asymmetry:the flash-cell charge levels are easy to increase but are hard to decrease.
Nonlinear adaptive trajectory tracking control of tethered kites
Nonlinear control of tethered kites
2010/11/9
A novel tracking paradigm for flying geometric shapes using tethered kites is presented. Because of the one-to-one correspondence between turning angles and images of curves on a sphere it is possible...
Trajectory averaging for stochastic approximation MCMC algorithms
Trajectory averaging MCMC algorithms
2010/11/18
The subject of stochastic approximation was founded by Robbins and Monro [Ann. Math. Statist. 22 (1951) 400--407]. After five decades of continual development, it has developed into an important area...
A control trajectory problem: Continuous systems
Discrete systems controllability optimal control
2010/9/10
In this paper we consider a fundamental control problem. Our aim is not to determine the control which steers the system to a desired final state at time T, but to investigate, under some hypothesis, ...
On Stability and Trajectory Boundedness in Mean-square Sense for ARMA Processes
ARMA stability boundedness in MSS equivalence
2007/12/10
For the multidimensional ARMA system A(z)y k = C(z)w k it is shown that stability (det A(z) ≠ 0, ?z : |z| ≤ 1) of A(z) is equivalent to the trajectory boundedness in the mean square sense (MSS) lim su...