Title :
Vertex results for the steady state analysis of uncertain systems
Author :
Bartlett, Andrew C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
fDate :
11/1/1992 12:00:00 AM
Abstract :
It is shown that, if a system is robustly stable and if the dependence on the uncertain parameters is to an extent multiaffine, then the extreme values of the steady-state response over the entire set of parameters is equal to the extreme values over just the vertices of the parameter set. This vertex result is doubly useful because it is valid in both continuous time and discrete time
Keywords :
control system analysis; stability; continuous time; control system analysis; discrete time; steady state analysis; uncertain systems; vertex result; Aerodynamics; Control system analysis; Control systems; Performance analysis; Polynomials; Robustness; Signal analysis; Stability analysis; Steady-state; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on