FN Archimer Export Format
PT J
TI Monotonicity properties for the viable control of discrete-time systems
BT 
AF DE LARA, Michel
   DOYEN, Luc
   GUILBAUD, Therese
   ROCHET, Marie-Joelle
AS 1:1;2:2;3:3;4:3;
FF 1:;2:;3:PDG-DOP-DCN-EMH;4:PDG-DOP-DCN-EMH;
C1 ParisTech, Ecole Ponts, CERMICS, F-77455 Marne La Vallee 2, France.
   Museum Natl Hist Nat, CNRS, CERESP, UMR 5173 CNRS MNHN P6, F-75005 Paris, France.
   IFREMER, Dept EMH, F-44311 Nantes 03, France.
C2 PARISTECH, FRANCE
   MNHN, FRANCE
   IFREMER, FRANCE
SI NANTES
SE PDG-DOP-DCN-EMH
IN WOS Ifremer jusqu'en 2018
   copubli-france
IF 1.634
TC 13
UR https://archimer.ifremer.fr/doc/2007/publication-2405.pdf
LA English
DT Article
DE ;Monotonicity;Invariance;Viability;State constraints;Control
AB This paper deals with the control of nonlinear systems in the presence of state and control constraints for discrete-time dynamics in finite-dimensional spaces. The viability kernel is known to play a basic role for the analysis of such problems and the design of viable control feedbacks. Unfortunately, this kernel may display very nonregular geometry and its computation is not an easy task in general. In the present paper, we show how monotonicity properties of both dynamics and constraints allow for relevant analytical upper and lower approximations of the viability kernel through weakly and strongly invariant sets. An example on fish harvesting management illustrates some of the assertions.   
PY 2007
PD APR
SO Systems & Control Letters
SN 0167-6911
PU Elsevier
VL 56
IS 4
UT 000245068500006
BP 296
EP 302
DI 10.1016/j.sysconle.2006.10.007
ID 2405
ER

EF