IEEE Transactions on Automatic Control · 1973 · 84 citations · 6 references
Natural SciencesMathematicsSystems EngineeringDynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryDiscrete Dynamical SystemsDynamic Systems AnalysisNonlinear ControlControl Of Differential SystemsControllabilityControllability AnalysisNonlinear ControllabilitySystem Controllability
Controllability of time-invariant discrete-time bilinear systems is discussed. Bilinear systems are classified into two categories: homogeneous and inhomogeneous. Sufficient conditions which ensure the global controllability of discrete-time bilinear systems are obtained by localized analysis in control variables.
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System Theory on Group Manifolds and Coset Spaces
R. Brockett · SIAM Journal on Control · 1972 · 461 citations
On the controllability of a class of discrete bilinear systems
T. Goka, T.J. Tarn, J. Zaborszky · Automatica · 1973 · 114 citations
Completely Controllable Bilinear Systems
R. Rink, R.R. Mohler · SIAM Journal on Control · 1968 · 82 citations
Singular control of bilinear discrete systems
T.J. Tarn · Information and Control · 1972 · 14 citations