%0 Journal Article %T 〖 H〗_(∞ )Technique for Five Story Buildings Under Seismic Loads and Uncertainty Process Using Synchronized Control %J Journal of Advanced Mathematical Modeling %I Shahid Chamran University of Ahvaz %Z 2251-8088 %A Malek, Alaeddin %A Mesbahi, Javad %D 2017 %\ 02/19/2017 %V 6 %N 2 %P 31-53 %! 〖 H〗_(∞ )Technique for Five Story Buildings Under Seismic Loads and Uncertainty Process Using Synchronized Control %K Synchronized Control %K H_∞control %K Random dynamic %K Riccati Equation %R 10.22055/jamm.2017.12995 %X In this paper, synchronized control is used for five story structure of Kajima Shizuoka under the EL - Centro earthquake load  ( 1940) seismic record. According to coupled values of displacement, drift and position error the related partial differential equation for motion and state is solved successfully. The Riccati equation is solved based on the close loop transfer function with respect to uncertainty parameters and random dynamic processes. Numerical simulations along with comparisons are made to evaluate the efficiency of this hybrid technique. %U https://jamm.scu.ac.ir/article_12995_9e7d9eac7b694a8e8abb69c3ee3119f9.pdf