Title :
Note on the sensitivity of nonlinear dynamic systems
Author :
Vukobratovic, Marko
Author_Institution :
Mihailo Pupin Institute, Belgrade, Yugoslavia
fDate :
8/1/1968 12:00:00 AM
Abstract :
This correspondence indicates that the investigation of the sensitivity limit cycle of nonlinear systems with a stable limit cycle is reduced to investigating the solution of the homogeneous part of the sensitivity equations. Contrary to the linear systems, the existence of stable limit cycle in nonlinear systems does not exclude the possibility of the sensitivity stable limit cycle. Theorems are stated giving the necessary and sufficient conditions for existence of the stable limit cycle of sensitivity.
Keywords :
Nonlinear systems; Sensitivity analysis; Damping; Differential equations; Genetic expression; H infinity control; Limit-cycles; Linear systems; Motion analysis; Nonlinear equations; Nonlinear systems; Sensitivity analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1098925