Null controllability of neutral system with infinite delays

作者：Davies Iyai^*; Haas Olivier C

来源：European Journal of Control, 2015, 26: 28-34.

DOI：10.1016/j.ejcon.2015.09.001

• Neutral systems
• infinite delay
• Null controllability
• Rank condition
• Stable

Sufficient conditions are developed for the null controllability of neutral control systems with infinite delays when the values of the control lie in an m-dimensional unit cube. Conditions are placed on the perturbation function which guarantee that if the uncontrolled system is uniformly asymptotically stable and the control system satisfies a full rank condition, so that K(lambda)xi(exp(-lambda h)) not equal 0, for every complex lambda, where K(lambda) is an n x n polynomial matrix in lambda constructed from the coefficient matrices of the control system and xi(exp(-lambda h)) is the transpose of [1, exp(-lambda h), ..., exp( -(n-1)lambda h)], then the control system is null controllable with constraint.

• 出版日期2015-11