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(λ)ξ(exp(−λh))≠0, for every complex λ, where K(λ) is an n×n polynomial matrix in λ constructed from the coefficient matrices of the control system and ξ(exp(−λh)) is the transpose of [1, exp(−λh), ⋯, exp(−(n−1)λh)], then the control system is null controllable with constraint.
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- Neutral systems
- infinite delay
- Null controllability
- Rank condition