Abstract
The construction of a Lyapunov function for a nonlinear system has been one of the most awkward problems in the study of dynamical systems. Especially in the case of large scale systems, the required effort can be enormous. To reduce the effort involved, it is helpful to utilize the fact that in engineering problems a large scale system is often a composite system (i.e., interconnection of subsystems). In such a case, we can first construct a Lyapunov function vi for each subsystem and then use the weighted sum u of the W~‘S v = WOVE + w2v2 + ... + w&z& (Wi > 0) (1)
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