National Taiwan University Dept Mech EngnChen, Min-ShinMin-ShinChenHwang, Yean-RenYean-RenHwangKuo, Yu-JengYu-JengKuo2006-11-152018-06-282006-11-152018-06-282003-01http://ntur.lib.ntu.edu.tw//handle/246246/200611150121904It is difficult to asymptotically stabilize a dyadic bilinear system with only multiplicative control inputs when the open-loop dynamics are unstable. The previous approach of cascading a division controller with a constant-size dead zone can only stabilize but not asymptotically stabilize the system. This note proposes a new control design which cascades a division controller with a modified dead zone whose size is proportional to the modulus of the system state. It is shown that this new division controller can globally and exponentially stabilize any open-loop unstable dyadic bilinear system as long as it is controllable.application/pdf318289 bytesapplication/pdfzh-TWAsymptotic stabilitydead zonedivision controllerdyadic bilinear systemexponential stabilityjournal article10.1109/TAC.2002.806660http://ntur.lib.ntu.edu.tw/bitstream/246246/200611150121904/1/7643.pdf