An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions |
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| Authors: | Robert Shorten Oliver Mason |
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| Institution: | a The Hamilton Institute, NUI Maynooth, Co. Kildare, Ireland
b Department of Maths, Northeastern University, Boston, USA |
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| Abstract: | We revisit the theorem of Barker, Berman and Plemmons on the existence of a diagonal quadratic Lyapunov function for a stable linear time-invariant (LTI) dynamical system G.P. Barker, A. Berman, R.J. Plemmons, Positive diagonal solutions to the Lyapunov equations, Linear and Multilinear Algebra 5(3) (1978) 249-256]. We use recently derived results to provide an alternative proof of this result and to derive extensions. |
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| Keywords: | Diagonal stability Common quadratic Lyapunov functions Copositive diagonal Lyapunov functions |
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