Some new properties of the right invertible system in control theory

Authors:
Dongmei Shen;Musheng Wei
Affiliations:
College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China and Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China;College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper, we deduce equivalent conditions of controllability, stability and observability of a right invertible system {C,A,B} by applying the canonical decomposition of {C,A,B} obtained by Wei et al. [Wei, M., Cheng, X., & Wang, Q. (2010). A canonical decomposition of the right invertible system with applications. SIAM Journal on Matrix Analysis and Applications, 31(4), 1958-1981]. We also derive three equivalent sufficient solvability conditions of the non-regular row-by-row decoupling problem, which are generalization of necessary and sufficient conditions of the regular row-by-row decoupling problem.