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Finite iterative algorithm for solving coupled Lyapunov equations appearing in continuous-time Markov jump linear systems
Authors:Ai-Guo Wu  Lin Tong  Guang-Ren Duan
Affiliation:1. Shenzhen Graduate School, Harbin Institute of Technology , Shenzhen 518055 , P. R. China ag.wu@163.com;3. Shenzhen Graduate School, Harbin Institute of Technology , Shenzhen 518055 , P. R. China;4. Center for Control Theory and Guidance Technology, Harbin Institute of Technology , Harbin 150001 , P. R. China
Abstract:An iterative algorithm for solving coupled algebraic Lyapunov equations appearing in continuous-time linear systems with Markovian transitions is established. The algorithm is computationally efficient since it can obtain the solution within finite steps in the absence of round-off errors.
Keywords:finite iteration  coupled Lyapunov matrix equations  orthogonality
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