Estimating reachable sets for two-dimensional linear discrete systems
Journal of Optimization Theory and Applications
Reachable and controllable sets for two-dimensional, linear, discrete-time systems
Journal of Optimization Theory and Applications
Reachability in input constrained discrete-time linear systems
Automatica (Journal of IFAC)
Null Controllability of Linear Systems with Constrained Controls
SIAM Journal on Control and Optimization
Automatica (Journal of IFAC)
Constrained motion model of mobile robots and its applications
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Automatica (Journal of IFAC)
Hi-index | 22.15 |
We present a formula for the extremes of the null controllable region of a general LTI discrete-time system with bounded inputs. For an nth order system with only real poles (not necessarily distinct), the formula is simplified to an elementary matrix function, which in turn shows that the set of the extremes coincides with a set of trajectories of the time-reversed system under bang-bang controls with n-2 or less switches.