This article proposes a new synchronization method, called a receding horizon synchronization (RHS) method, for a general class of chaotic systems. A new linear matrix inequality (LMI) condition on the finite terminal weighting matrix is proposed for chaotic systems under which non-increasing monotonicity of the optimal cost is guaranteed. It is shown that the proposed terminal inequality condition guarantees the closed-loop stability of the RHS method for chaotic systems. As an application of the proposed method, the RHS problem for Chua’s chaotic system is investigated.
Ki Ahn, Choon; Dong Lee, Chul; and Kyou Song, Moon
"Receding Horizon Chaos Synchronization Method,"
Applied Mathematics & Information Sciences: Vol. 06
, Article 21.
Available at: https://dc.naturalspublishing.com/amis/vol06/iss3/21