References
- Mariton M. Almost sure and moments stability of jump linear systems. Syst Control Lett. 1988;11(5):393–397. doi: 10.1016/0167-6911(88)90098-9
- Ji Y, Chizeck HJ. Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control. IEEE Trans Automat Contr. 1990;35(7):777–788. doi: 10.1109/9.57016
- Sun HJ, Wu AG, Zhang Y. Stability and stabilisation of Ito stochastic systems with piecewise homogeneous Markov jumps. Int J Syst Sci. 2018;50(2):307–319. doi: 10.1080/00207721.2018.1551977
- Luo TJ. Stability analysis of stochastic pantograph multi-group models with dispersal driven by G-Brownian motion. Appl Math Comput. 2019;354:396–410.
- Jodar L, Mariton M. Explicit solutions for a system of coupled Lyapunov differential matrix equations. Proc Edinburgh Math Soc. 1987;30(2):427–434. doi: 10.1017/S0013091500026821
- Ge ZW, Ding F, Xu L. Gradient-based iterative identification method for multivariate equation-error autoregressive moving average systems using the decomposition technique. J Franklin Inst. 2019;356(3):1658–1676. doi: 10.1016/j.jfranklin.2018.12.002
- Zhang HM. Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations. Comput Math Appl. 2019;77(5):1233–1244. doi: 10.1016/j.camwa.2018.11.006
- Zhang H. Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications. Comput Math Appl. 2015;70(8):2049–2062. doi: 10.1016/j.camwa.2015.08.013
- Ding F, Zhang H. Gradient-based iterative algorithm for a class of the coupled matrix equations related to control systems. IET Control Theory Appl. 2014;8(15):1588–1595. doi: 10.1049/iet-cta.2013.1044
- Hajarian M. On the convergence of conjugate direction algorithm for solving coupled Sylvester matrix equations. Comput Appl Math. 2018;37(3):3077–3092. doi: 10.1007/s40314-017-0497-y
- Sun HJ, Zhang Y, Fu YM. Accelerated Smith iterative algorithms for coupled Lyapunov matrix equations. J Franklin Inst. 2017;354(15):6877–6893. doi: 10.1016/j.jfranklin.2017.07.007
- Sun HJ, Liu W, Teng Y. Explicit iterative algorithms for solving coupled discrete-time Lyapunov matrix equations. Iet Control Theory Appl. 2016;10(18):2565–2573. doi: 10.1049/iet-cta.2016.0437
- Huang BH, Ma CF. Gradient-based iterative algorithms for generalized coupled Sylvester-conjugate matrix equations. Comput Math Appl. 2017;75(7):2295–2310. doi: 10.1016/j.camwa.2017.12.011
- Zhang H, Yin H. New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation. Comput Math Appl. 2017;74(12):3260–3270. doi: 10.1016/j.camwa.2017.08.017
- Borno I. Parallel computation of the solutions of coupled algebraic Lyapunov equations. Automatica. 1995;31(9):1345–1347. doi: 10.1016/0005-1098(95)00037-W
- Qian YY, Pang WJ. An implicit sequential algorithm for solving coupled Lyapunov equations of continuous-time Markovian jump systems. Automatica. 2015;60:245–250. doi: 10.1016/j.automatica.2015.07.011
- Wu AG, Duan GR, Liu W. Implicit iterative algorithms for continuous Markovian jump Lyapunov equations. IEEE Trans Automat Contr. 2016;61(10):3183–3189. doi: 10.1109/TAC.2015.2508884
- Wu AG, Sun HJ, Zhang Y. An SOR implicit iterative algorithm for coupled Lyapunov equations. Automatica. 2018;97:38–47. doi: 10.1016/j.automatica.2018.07.021
- Damm T, Sato K, Vierling A. Numerical solution of Lyapunov equations related to Markov jump linear systems. Numer Linear Algebra Appl. 2017;25(6):13–14.
- Hajarian M. Convergence properties of BCR method for generalized Sylvester matrix equation over generalized reflexive and anti-reflexive matrices. Linear Multilinear Algebra. 2018;66(10):1975–1990. doi: 10.1080/03081087.2017.1382441
- Zhang H. A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators. J Franklin Inst. 2017;354(4):1856–1874. doi: 10.1016/j.jfranklin.2016.12.011
- Tian ZL, Fan CM, Deng YJ, et al. New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. J Franklin Inst. 2018;355(17):8346–8372. doi: 10.1016/j.jfranklin.2018.09.027
- Brewer J. Kronecker products and matrix calculus in system theory. IEEE Trans Circuits Syst. 1978;25(9):772–781. doi: 10.1109/TCS.1978.1084534