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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...
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...
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...