Wang, Li; Liu, Jianzhou Upper solution bound of the CCARE and its application in multi-agent systems with time-delay in the state. (English) Zbl 1520.93026 Int. J. Control 96, No. 7, 1754-1764 (2023). MSC: 93A16 93C43 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Liu}, Int. J. Control 96, No. 7, 1754--1764 (2023; Zbl 1520.93026) Full Text: DOI
Liu, Jianzhou; Wang, Zheng; Xie, Zhiming; Wang, Li Iterative algorithms for reducing inversion of discrete algebraic Riccati matrix equation. (English) Zbl 1510.65081 IMA J. Math. Control Inf. 39, No. 4, 985-1007 (2022). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{J. Liu} et al., IMA J. Math. Control Inf. 39, No. 4, 985--1007 (2022; Zbl 1510.65081) Full Text: DOI
Zhang, Juan; Liu, Jianzhou; Luo, Fangfang A class of fixed point iteration for the coupled algebraic Riccati equation. (English) Zbl 1518.65043 J. Appl. Math. Comput. 68, No. 6, 4119-4133 (2022). MSC: 65F45 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Appl. Math. Comput. 68, No. 6, 4119--4133 (2022; Zbl 1518.65043) Full Text: DOI
Liu, Jianzhou; Wang, Li; Bai, Ying New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems. (English) Zbl 1440.93051 Automatica 116, Article ID 108936, 6 p. (2020). MSC: 93B25 15A42 49J99 PDFBibTeX XMLCite \textit{J. Liu} et al., Automatica 116, Article ID 108936, 6 p. (2020; Zbl 1440.93051) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Luo, Fangfang Newton’s method for the positive solution of the coupled algebraic Riccati equation applied to automatic control. (English) Zbl 1463.65092 Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020). MSC: 65F45 15A24 93E20 PDFBibTeX XMLCite \textit{J. Liu} et al., Comput. Appl. Math. 39, No. 2, Paper No. 113, 17 p. (2020; Zbl 1463.65092) Full Text: DOI
Zhang, Juan; Liu, Jianzhou The matrix bounds and fixed-point iteration for the solution of the discrete algebraic Riccati equation. (English) Zbl 1478.15025 IMA J. Math. Control Inf. 36, No. 2, 681-699 (2019). MSC: 15A42 15A18 34A30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, IMA J. Math. Control Inf. 36, No. 2, 681--699 (2019; Zbl 1478.15025) Full Text: DOI
Zhang, Juan; Liu, Jianzhou; Zha, Yaling The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation. (English) Zbl 1417.93145 IMA J. Math. Control Inf. 34, No. 3, 851-870 (2017). MSC: 93B60 93B25 PDFBibTeX XMLCite \textit{J. Zhang} et al., IMA J. Math. Control Inf. 34, No. 3, 851--870 (2017; Zbl 1417.93145) Full Text: DOI
Liu, Jianzhou; Wang, Li; Zhang, Juan The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control. (English) Zbl 1397.93072 IMA J. Math. Control Inf. 34, No. 4, 1135-1156 (2017). MSC: 93B40 93B25 93B60 PDFBibTeX XMLCite \textit{J. Liu} et al., IMA J. Math. Control Inf. 34, No. 4, 1135--1156 (2017; Zbl 1397.93072) Full Text: DOI
Liu, Jianzhou; Wang, Li; Zhang, Juan New matrix bounds and iterative algorithms for the discrete coupled algebraic Riccati equation. (English) Zbl 1380.93163 Int. J. Control 90, No. 11, 2326-2337 (2017). MSC: 93C55 93C05 93B60 PDFBibTeX XMLCite \textit{J. Liu} et al., Int. J. Control 90, No. 11, 2326--2337 (2017; Zbl 1380.93163) Full Text: DOI
Liu, Jianzhou; Wang, Yanpei; Zhang, Juan New upper matrix bounds with power form for the solution of the continuous coupled algebraic Riccati matrix equation. (English) Zbl 1365.93472 Asian J. Control 19, No. 2, 739-747 (2017). MSC: 93D99 93C15 PDFBibTeX XMLCite \textit{J. Liu} et al., Asian J. Control 19, No. 2, 739--747 (2017; Zbl 1365.93472) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New upper and lower bounds, the iteration algorithm for the solution of the discrete algebraic Riccati equation. (English) Zbl 1422.15005 Adv. Difference Equ. 2015, Paper No. 313, 17 p. (2015). MSC: 15A24 39A60 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Adv. Difference Equ. 2015, Paper No. 313, 17 p. (2015; Zbl 1422.15005) Full Text: DOI
Liu, Jianzhou; Zhang, Juan New upper and lower eigenvalue bounds for the solution of the continuous algebraic Riccati equation. (English) Zbl 1286.93085 Asian J. Control 16, No. 1, 284-291 (2014). MSC: 93B60 93C05 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Zhang}, Asian J. Control 16, No. 1, 284--291 (2014; Zbl 1286.93085) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation. (English) Zbl 1255.15011 Int. J. Comput. Math. 89, No. 4, 527-542 (2012). MSC: 15A18 15A24 15A42 93B05 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Int. J. Comput. Math. 89, No. 4, 527--542 (2012; Zbl 1255.15011) Full Text: DOI
Liu, Jianzhou; Zhang, Juan Upper solution bounds of the continuous coupled algebraic Riccati matrix equation. (English) Zbl 1245.93059 Int. J. Control 84, No. 4, 726-736 (2011). MSC: 93C15 60J75 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Zhang}, Int. J. Control 84, No. 4, 726--736 (2011; Zbl 1245.93059) Full Text: DOI
Liu, Jianzhou; Zhang, Juan; Liu, Yu New solution bounds for the continuous algebraic Riccati equation. (English) Zbl 1259.15021 J. Franklin Inst. 348, No. 8, 2128-2141 (2011). Reviewer: Jaroslav Zemánek (Warszawa) MSC: 15A24 15A18 15A42 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Franklin Inst. 348, No. 8, 2128--2141 (2011; Zbl 1259.15021) Full Text: DOI
Liu, Jianzhou; Zhang, Juan The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation. (English) Zbl 1227.93075 Int. J. Control 84, No. 8, 1430-1441 (2011). MSC: 93C55 93B40 47N10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Zhang}, Int. J. Control 84, No. 8, 1430--1441 (2011; Zbl 1227.93075) Full Text: DOI
Zhang, Juan; Liu, Jianzhou New lower solution bounds for the continuous algebraic Riccati equation. (English) Zbl 1223.15021 Electron. J. Linear Algebra 22, 191-202 (2011). MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Electron. J. Linear Algebra 22, 191--202 (2011; Zbl 1223.15021) Full Text: EuDML EMIS
Liu, Jianzhou; Zhang, Juan; Liu, Yu A new upper bound for the eigenvalues of the continuous algebraic Riccati equation. (English) Zbl 1207.15015 Electron. J. Linear Algebra 20, 314-321 (2010). MSC: 15A24 15A42 15A15 PDFBibTeX XMLCite \textit{J. Liu} et al., Electron. J. Linear Algebra 20, 314--321 (2010; Zbl 1207.15015) Full Text: DOI EuDML EMIS
Zhang, Juan; Liu, Jianzhou Matrix bounds for the solution of the continuous algebraic Riccati equation. (English) Zbl 1210.15016 Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010). MSC: 15A24 15A45 65F30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Liu}, Math. Probl. Eng. 2010, Article ID 819064, 15 p. (2010; Zbl 1210.15016) Full Text: DOI EuDML
Liu, Jianzhou; Zhang, Juan New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation. (English) Zbl 1176.15030 J. Inequal. Appl. 2009, Article ID 620758, 18 p. (2009). MSC: 15A45 15A15 15A24 PDFBibTeX XMLCite \textit{J. Liu} and \textit{J. Zhang}, J. Inequal. Appl. 2009, Article ID 620758, 18 p. (2009; Zbl 1176.15030) Full Text: DOI EuDML