线性系统的稳定化问题(英文)

On stabilization problems for linear systems

研究在套代数框架下具有单素分解的一类系统的稳定性问题。当这类系统有一个因子是紧算子是时,给出了这些系统镇定控制器的参数表示。利用这个表示研究了这些系统的鲁棒镇定控制和同时镇定问题。

Consider the linear systems that has a known right coprime presentation L=AB-1 or a left coprime presentation L=B^-1A^ with A compact or A^ compact within the framework of nest algebras.The stabilization problem is first studied,and a corresponding parametric representation of all the stabilizing controllers for these linear systems is given.In further,the simultaneous stabilization problems and robust stabilization problems for these systems are well studied as well.