对于混合值逻辑控制系统,提出确定一个正则子空间的补空间的充分必要条件.对于正则子空间已有的判别准则,给出新的证明,并提出构造补空间的新方法.对于子空间,设计计算其友好子空间的新算法,引入没有正则性假设的不变子空间的概念,获得判别不变子空间的一系列充分必要条件. For the mixed value logic control system, a sufficient and necessary condition for determining the complement space of a regular subspace is proposed. For the existing criterion of the regular subspace, a new proof is given and a new method for constructing a space is proposed. For subspace, A new algorithm to calculate its friendly subspace is designed and a new concept of invariant subspace without regular hypothesis is introduced to obtain a series of sufficient and necessary conditions for discriminant invariant subspace.