Adaptive H∞ synchronization for general delayed complex networks with external disturbance

Stability control of a two‐lane car‐following model based on cluster synchronization of complex network

“…There is a constant $$$ k>0 $$$, for $$$ \forall {y}_i(t),{y}_j(t)\in {R}^n $$$, one has $$$$ \left\Vert V\left({y}_i(t)\right)-V\left({y}_j(t)\right)\right\Vert \le k\left\Vert {y}_i(t)-{y}_j(t)\right\Vert . $$$$ Lemma 35 For any given matrix $$$ X,Y\in {R}^{n\times m} $$$, the following matrix inequality holds : $$$$ {X}^{\mathrm{T}}Y+{Y}^{\mathrm{T}}X\le {X}^{\mathrm{T}} AX+{Y}^{\mathrm{T}}{A}^{-1}Y, $$$$ where, $$$ A\in {R}^{n\times n} $$$, $$$ {A}^{\mathrm{T}}=A>0 $$$.…”

“…Zheng et al 34 concerned with the robust $$$ {H}_{\infty } $$$ synchronization problem for a class of complex dynamical networks by applying the observer‐based control. Tu et al 35 investigated the global adaptive $$$ {H}_{\infty } $$$ synchronization for the general delayed complex dynamical networks with external disturbance. Li 36 proposed a novel concept of $$$ {H}_{\infty } $$$ cluster synchronization to quantify against the exogenous disturbance of the complex networks, and $$$ {H}_{\infty } $$$ cluster synchronization criteria are derived in the form of linear matrix inequalities.…”

Control System Design for Feeding Machine of Sound Absorption Board Production Line

“…The main function of RECLAIMER is to take a certain volume of granular from the hopper box and fill in the mold beneath the mechanism; the main function of scraper is to strickle material accumulated in the mold to a relatively smooth *Address correspondence to this author at the School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300130, China; Tel: 13388007288; E-mail: x_yanjun2009@163.com stature, no material shortage or stacking in the corners of mold. In reclaiming institutions RECLAIMER MOTER (1) is a stepper motor through reducer connected with sprocket which located in the end of THE BLADE SHAFT (9) and connected by a chain, THE BLADE SHAFT is a cylindrical section which uniformly distributed with four V shaped grooves, the volume of Vshaped groove and the calculated one are equal, the V shaped groove is the foundation to realize accurate leveling [2]; CONTROL PANEL (2) at 90 degrees intervals around the circumference set a U-shaped notch, and connect the end of blade shaft, WEDGR (4) connect with VIBRATION CYLINDER (3); in the scraper mechanism, Motor scraper (5) is a stepper motor, the gear is connected with the rack which is fixed with the Strickling Rod (8), the STRICKING ROD is provided with a induction sensor block, STRICKING PLATE (6) is fixed at the end of the strickling rod, SCRAPER MOTOR, STRICKING ROD and STRICKING PLATE are connected through the bracket…”

“…In the surveillance state, trigger the sensor manually to generate a interference signal, to test the whether the process could be affected by external disturbance [8]. After several tests proved that the program can be strictly executed in accordance with the process.…”