Title :
On the Local Cone Ẋ(x) of realizable state-velocities ẋ for controlled dynamical systems
Author_Institution :
ECE Dept, Univ. of Alabama in Huntsville, Huntsville, AL, USA
Abstract :
The concept of the “cone Ẋ(x) of all realizable state-velocity values” ẋ at each x in state-space, is used to characterize important geometric properties of state-trajectories x(t) for controlled dynamical systems. The results are useful in discovering invisible “barriers” in state-space across which controlled state-trajectories cannot pass. The new concept of hyper-controllability is introduced and its usefulness is explored for the case of time-invariant, linear dynamical systems.
Keywords :
computational complexity; linear systems; state-space methods; controlled dynamical systems; geometric properties; hypercontrollability; linear dynamical systems; local cone; state-space; state-trajectories; state-velocity values; time-invariant systems; Controllability; Differential equations; Geometry; Kalman filters; Manifolds; Trajectory; Hyper-Controllability; Invariant-Manifolds; Reachability; State-Velocity Cone;
Conference_Titel :
Southeastcon, 2011 Proceedings of IEEE
Conference_Location :
Nashville, TN
Print_ISBN :
978-1-61284-739-9
DOI :
10.1109/SECON.2011.5752928
