非線形決合をもつむだ時間複合系の巨視的漸近安定

概要

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In the previous paper, we presented a sufficient condition for the stability of large-scale interconnected systems with the help of comparison functions to describe the dynamical behaviors of subsystems.In this paper, a development of the above result to more general interconnected systems, in which the inputs of subsystems are no more linear functions of the outputs of the other subsystems and some of the subsystems are no more expotentially stable is considered. The stability analysis of such systems is reduced to the study of nonlinear differential equations with off-diagonally increasing right hand sides. For this problem the concept of M-functions plays an important role and on the basis of these results, conditions for the staility of interconnected systems are studied.
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