Title :
Controllability and stabilizability analysis of a positive chaotic system
Author :
Di Felice, Marco ; Viger, L. ; Pihan, E. ; Barbot, Jean-Pierre ; Letellier, C. ; Attioui, S. ; Di Gennaro, S.
Author_Institution :
Dept. of Inf. Eng., Univ. of L´Aquila, L´Aquila, Italy
Abstract :
It is here shown that investigating the controllability of a positive chaotic system is not appropriate to determine influences of parametric variations on its solutions. A stabilizability analysis is then performed using a Lyapunov approach by taking into account the fact that the solution must remain in a given positive domain. Some numerical results highlight the advantage of the proposed analysis.
Keywords :
Lyapunov methods; chaos; controllability; nonlinear control systems; stability; Lyapunov approach; controllability; parametric variations; positive chaotic system; stabilizability analysis; Asymptotic stability; Chaotic communication; Communication systems; Controllability; Stability analysis; Trajectory; Chaotic Behavior; Lyapunov Analysis; Nonlinear Controllability; Positive Systems;
Conference_Titel :
Communication Systems, Networks & Digital Signal Processing (CSNDSP), 2014 9th International Symposium on
Conference_Location :
Manchester
DOI :
10.1109/CSNDSP.2014.6923857
