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本文针对一般的滞后动态系统建立了广义指数稳定性的充分和必要条件，并由所建立的充要条件得出了系统过渡过程的时变指数衰减估计．作为所建结果的应用，基于矩阵测度给出了一类滞后动态系统过渡过程的相应指数衰减估计．本文揭示了所建衰减估计可好于那些仅基于充分稳定性条件所得的估计
In this paper, the sufficient and necessary conditions of generalized exponential stability for general lagged dynamic systems are established, and the time-varying exponential decay estimates of the system transition are derived from the necessary and sufficient conditions established. As an application of the constructed results, the corresponding exponential decay estimates for a class of hysteresis dynamic system transition processes are given based on the matrix measures. This paper reveals that the built-in attenuation estimates are better than those based on sufficient stability conditions