International Journal of Systems Science · 1985 · 13 citations · 2 references
Natural SciencesMathematicsDiscrete MathematicsDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl SystemsControl TheoryDiscrete Dynamical SystemsFeedback ControlNonlinear ControlControllabilityControllability AnalysisDiscrete-time ControlDiscrete-time Control SystemsFinite TimeFinite-time ControlFinite-time StabilitySystem Controllability
The controllability of the discrete-time linear system xk+1 = Axk + uk; uk∊Ω = 0, 1, …, where the input set n is an arbitrary convex set, is studied. The problem of controllability in finite time is examined, that is, conditions on A, Ω are established which ensure the existence of a finite N such that the system is controllable in N steps for any initial state x0.
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