Simultaneous Stabilization:Inverse LQ Approach
Cao Yongyan
Sun Youxian
Abstract：In this paper,the simultaneous stabilization problem is addressed using the inverse LQ approach.A necessary and sufficient condition for simultaneous stabilizability of r strictly proper MIMO plants via static output feedback is obtained,and a solution of the simultaneous stabilization via state feedback is presented.The condition is described by some coupled algebraic Riccati inequalities.It is shown that any such stabilizing feedback gain is the solution of some coupled linear quadratic control problems where every cost functional has a suitable cross term.
Keywords：simultaneous stabilizationalgebraic Riccati inequality(ARI)static output feedbackstate feedbacklinear systems
Publication Date：1999-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)