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- W3209631365 abstract "The discrete-time algebraic Riccati equation (DARE) have extensive applications in optimal control problems . We provide new theoretical supports to the stability properties of solutions to the DARE and reduce the convergence conditions under which the accelerated fixed-point iteration (AFPI) can be applied to compute the numerical solutions of DARE. In particular, we verify that the convergence of AFPI is R-superlinear when the spectral radius of the closed-loop matrix is greater than 1, which is shown by mild assumption and only using primary matrix theories . Numerical examples are shown to illustrate the consistency and effectiveness of our theoretical results." @default.
- W3209631365 created "2021-11-08" @default.
- W3209631365 creator A5008478624 @default.
- W3209631365 date "2021-11-01" @default.
- W3209631365 modified "2023-09-29" @default.
- W3209631365 title "The convergence analysis of an accelerated iteration for solving algebraic Riccati equations" @default.
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- W3209631365 doi "https://doi.org/10.1016/j.jfranklin.2021.11.003" @default.
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