A constructive proof of nonlinear small-gain theorem for hybrid systems

Navid Noroozi, Saeed Ahmadizadeh, Alireza Khayatian
2012 20th Iranian Conference on Electrical Engineering (ICEE2012)  
This paper presents a new nonlinear small-gain theorem for general hybrid systems based on a smooth Lyapunov function. In comparison with the existing results, we establish not only input-to-state stability of the interconnected hybrid systems but also demonstrate a performance of the systems.
doi:10.1109/iraniancee.2012.6292495 fatcat:mhidriie55edhhgxnkktejviqy