Title :
Periodic stabilizing matrices: A monodromy matrix approach
Author :
Moreno-Ahedo, Luis ; Vazquez, Carlos
fDate :
Feb. 28 2011-March 2 2011
Abstract :
The construction of time-periodic stabilizing matrices by the monodromy matrix approach is presented, the time-periodic stabilizing matrices are a special case of time-varying stabilizing matrices formulated in the Brockett problem, a open problem in control theory; a practical example about construction of time-periodic stabilizing matrix for the vertical stabilization of the pendulum with oscillating pivot is given.
Keywords :
matrix algebra; nonlinear systems; pendulums; stability; time-varying systems; Brockett problem; monodromy matrix approach; oscillating pivot; pendulum vertical stabilization; time-periodic stabilizing matrices; time-varying stabilizing matrices; Control theory; Differential equations; Equations; Oscillators; Stability criteria; USA Councils;
Conference_Titel :
Electrical Communications and Computers (CONIELECOMP), 2011 21st International Conference on
Conference_Location :
San Andres Cholula
Print_ISBN :
978-1-4244-9558-0
DOI :
10.1109/CONIELECOMP.2011.5749337
