IEEE Transactions on Automatic Control · 1971 · 61 citations · 4 references
Natural SciencesMathematicsDiscrete MathematicsDynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryDiscrete Dynamical SystemsEigenvalue ProblemsOptimal ControlDiscrete ControlDiscrete-time ControlDiscrete-time Control SystemsJordan Canonical FormTime-optimal Control
In this correspondence the geometric structure and matrix properties of the time-optimal control for the general linear discrete systems are discussed in terms of eigenvectors, Jordan canonical form, and nilpotency.
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On the general theory of control systems
R. E. Kalman · IFAC Proceedings Volumes · 1960 · 1.2K citations
On the general theory of control systems
R. E. Kalman · IRE Transactions on Automatic Control · 1959 · 382 citations