Title :
Nonsmooth Speed-Gradient algorithms
Author :
Maksim V. Dolgopolik;Alexander L. Fradkov
Author_Institution :
Saint Petersburg State University, Saint Petersburg, Petergof, 198504, Russia
fDate :
7/1/2015 12:00:00 AM
Abstract :
The first step toward development a “nonsmooth” version of Speed-Gradient (SG) method is made. As a basis for formal approach the Hadamard subdifferential and set-valued analysis are chosen. Nonsmooth versions of SG-algorithm in differential and finite form are formulated. Conditions for the control goal achievement are proposed. The results are illustrated by an example of asymptotic minimization of the max-norm for a second order linear system.
Keywords :
"Algorithm design and analysis","Control systems","Heuristic algorithms","Symmetric matrices","Minimization","Linear systems","Standards"
Conference_Titel :
Control Conference (ECC), 2015 European
DOI :
10.1109/ECC.2015.7330671
