We propose a new switching ℒ 2  gain for analyzing the magnitude of a switch between two linear time-invariant systems. It focuses on the difference between the actuality that a switch occurs and the virtual situation where it does not occur. Furthermore, we present ℒ 2  gain conditions that enable us to compute the value of the proposed switching ℒ 2  gain. From the multiple aspects by using the multiple quantitative indices, such as the proposed switching ℒ 2  gain and the existing ones for analyzing the fluctuations in actual transient responses, we can evaluate the severity of an undesirable switch in fault-tolerant control systems more appropriately than ever before.
['Koichi Suyama', 'Noboru Sebe']
Switching ℒ 2 gain for analyzing the magnitude of a system switch