Short-time stability

The concept of stability plays a dominant role in control svsterns, However, the classical definitions-ior example, A linear varying-parameter system is defined to be stable if and only if every bounded input produces a bounded output v-r-suffer from some important shortcomings. One of them is that knowing that an output will be bounded is generally not sufficient. The exact value of the bound must also be known. In addition, the time interval of interest is often only of finite length, A case in point is that of a missile whose operation lasts only a finite time and whose variables must be restrained to certain critical values in this time interval. To overcome some of these difficulties, the following definition is proposed: