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math.OC2009★ 6 cited
Linear State Feedback Stabilization on Time Scales
Billy J. Jackson, John M. Davis, Ian A. Gravagne +1
For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such…
math.OC2009★ 2 cited
Algebraic and Dynamic Lyapunov Equations on Time Scales
John M. Davis, Ian A. Gravagne, Robert J. Marks +1
We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix differential equations that play a central role in Lyapunov based stability arguments. The go…