Perturbation bounds for Mostow's decomposition and the bipolar decomposition
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.03.027
Abstract: Abstract Perturbation bounds for Mostow's decomposition and the bipolar decomposition of matrices have been computed. To do so, expressions for the derivative of the geometric mean of two positive definite matrices have been derived. read more here.
Keywords: bounds mostow; bipolar decomposition; mostow decomposition; decomposition bipolar ... See more keywords
Maximal Perturbation Bounds for the Robust Stability of Fractional-Order Linear Time-Invariant Parameter-Dependent Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2021.3119656
Abstract: This brief investigates the maximal perturbation bounds of fractional-order linear time-invariant parameter-dependent systems with the commensurate order $\alpha \in (0,1)$ . Firstly, new sufficient and necessary conditions for the maximal perturbation bounds of such parameter-dependent… read more here.
Keywords: dependent systems; perturbation bounds; maximal perturbation; order ... See more keywords
Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains
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DOI: 10.3390/math8020253
Abstract: This paper is largely a review. It considers two main methods used to study stability and to obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov chains with continuous time and a finite or countable… read more here.
Keywords: construction perturbation; perturbation bounds; perturbation; continuous time ... See more keywords