离散系统的拟能控性与暂态幅值估计
Quasi-Controllability and Estimates of Amplitudes of Transient Regimes in Discrete Systems
摘要：
研究了离散控制系统的族态，它们具有类似于Kalman能控性的特殊拟能控性。提出了一种新的方法来估计准可控系统的瞬态区域的幅度。其实质是利用拟能控性测度得到超调度的构造性先验界。所得结果适用于暂态分析、经典的A稳定性问题，尤其适用于非稳态系统的稳定性问题。
英文摘要：
Families of regimes for discrete control systems are studied possessing a special quasi-controllability property that is similar to the Kalman controllability property. A new approach is proposed to estimate the amplitudes of transient regimes in quasi-controllable systems. Its essence is in obtaining of constructive a priori bounds for degree of overshooting in terms of the quasi-controllability measure. The results are applicable for analysis of transients, classical absolute stability problem and, especially, for stability problem for desynchronized systems.
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