结合矩阵代数的循环向量与线性和非线性控制系统的可达性判据
Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems
摘要：
受切换线性控制系统和某些非线性（机械）控制系统的可控性/可达性问题的启发，我们解决了相关的结合（矩阵）代数的循环向量的存在性问题。给出了循环向量存在的一个充分判据，并得出了能控性的结论。
英文摘要：
Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem of existence of a cyclic vector for an associative (matrix) algebra. We provide a sufficient criterion for existence of cyclic vector and draw conclusions for controllability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
