%0 Journal Article %T Bellman-Gronwall Inequality Approach to Oscillator Design for the Specific Bilinear Systems %A Yeong-Jeu Sun %J The Open Automation and Control Systems Journal %D 2008 %I %R 10.2174/1874444300801010027] %X In this paper, the existence of limit cycles for the specific bilinear systems is explored. Based on the Bellman- Gronwall inequality approach, not only the exponentially stable limit cycles phenomenon of such systems can be certified but also the oscillation behaviors of such systems can be correctly predicted. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result. %U http://www.benthamscience.com/open/toautocj/articles/V001/27TOAUTOCJ.htm