Transformations of Linear Standard Systems to Positive Asymptotically Stable Linear Ones

Abstract

New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation matrix can be chosen in block diagonal form. Procedures for the computation of the transformation matrices are proposed and illustrated with simple numerical examples.

Keywords

• asymptotical stability
• positive system
• continuous-time system
• linear system