Moreover, by using the Lyapunov Krasovskii functional (LKF) method, stochastic analysis technique and matrix theory, a sufficient condition based on linear matrix inequality is obtained, thus the drive system can synchronize the response system.
The main ideas of these impulses are to use samples of the state variables of the drive system at discrete moments and to synchronize the response system discretely.
More important, in both animals (Engel et al. 1991; Nowak et al. 1995; Kiper et al. 1999) and man (Knyazeva et al. 1999; Carmeli et al. 2005), the callosal input synchronizes the responses to visual stimuli in the 2 hemispheres.
This pretreatment protocol was based on a short (24 hr), weak (10−12 M) pulse of T3 that induced TH receptors, facilitating and synchronizing the transcriptional responses.
Melatonin plays a role in synchronizing the reproductive responses of animals to environmental light conditions; it has been reported that serum melatonin levels during human pregnancy are higher than in a non-pregnant state [ 18].
The intention is to maximize the in-vivo T-effector response, while minimizing the T-regulatory responses, within the patient, to provide a potential means of synchronizing the ongoing immune response in the patient for improving clinical outcome.
The proposed scheme and controller not only realize the synchronization of the state vectors, but also synchronize the unknown response parameters to the given drive parameter as time goes to infinity.
To synchronize the drive-response systems (1) and (4), the following state feedback control law is considered: u = F e, (11).
Thus, the intermittent sampled-data controllers are developed based on the available information to guarantee that the controlled drive system can anti-synchronize with the response system regardless of their initial states.
Active control synchronization and adaptive synchronization between Chen system and Genesio system are studied, different controllers are designed to synchronize the drive and response systems, active control synchronization is used when system parameters are known; adaptive synchronization is employed when system parameters are unknown or uncertain.
