Estimates of Amplitudes of Transient Regimes in Quasi–Controllable Discrete Systems

Families of regimes for discrete control systems are studied possessing a special quasi–control lability property that is similar to the Kalman control lability 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– control lability measure. The results are applicable for analysis of transients, classical absolute stability problem and, especially, for stability problem for desynchronized systems.