One input control and synchronization for generalized Lorenzlike systems
Authors
Yawen Wu and Shunjie Li
Abstract
This \u00a0paper \u00a0proposes \u00a0a \u00a0new \u00a0class \u00a0of \u00a0nonlinear \u00a0systems \u00a0called \u00a0generalized \u00a0Lorenz-like \u00a0systems
which \u00a0can \u00a0be \u00a0used \u00a0to \u00a0describe \u00a0many \u00a0usual \u00a0three-dimensional \u00a0chaotic \u00a0systems \u00a0such \u00a0as \u00a0Lorenz \u00a0system, \u00a0L\u00fc
system, \u00a0Chen \u00a0system, \u00a0Liu \u00a0system, \u00a0etc. \u00a0Then \u00a0the \u00a0control \u00a0and \u00a0synchronization \u00a0problems \u00a0for \u00a0generalized
Lorenz-like system via a single input are studied and two control laws are proposed based on partial feedback
linearization \u00a0with \u00a0asymptotically \u00a0stable \u00a0zero \u00a0dynamics. \u00a0Finally, \u00a0the \u00a0numerical \u00a0simulations \u00a0demonstrate \u00a0the
correctness and effectiveness of the proposed control strategies.
