TRANSFER-FUNCTION CONDITIONS FOR STABILITY Academic Article

abstract

• A feedback system is defined to be internally stable if all the eigenvalues of the composite state-space representation of the closed-loop system lie in the left plane. Recently, it has been established [1, Theorem 4.3.6, p. 154] that this internal stability is equivalent to external stability of an appropriate system with virtual inputs injected into each subsystem. The proof in [1] uses matrix fraction descriptions. In this paper, a new state proof of this result is given. The proof is simple and demonstrates the validity of this important transfer function test from the point of view of controllability and observability. 1985 IEEE.

authors

• Bhattacharyya, S

published proceedings

• IEEE TRANSACTIONS ON AUTOMATIC CONTROL

author list (cited authors)

• BHATTACHARYYA, S. P., & HOWZE, J. W.

citation count

• 0

complete list of authors

• BHATTACHARYYA, SP||HOWZE, JW

publication date

• June 1985

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Automatic Control  Journal

keywords

• 40 Engineering
• 4007 Control Engineering, Mechatronics And Robotics

Digital Object Identifier (DOI)

• 10.1109/TAC.1985.1104003

start page

• 581

end page

• 583

volume

• 30

issue

• 6

URL

• http://dx.doi.org/10.1109/tac.1985.1104003