SHENG-DE WANGKuo Te-SonHsu Chen-Fa2023-06-092023-06-091986189286https://www.scopus.com/inward/record.uri?eid=2-s2.0-0022757579&partnerID=40&md5=ef1f7a9178e1a96291c124e66ef66acbhttps://scholars.lib.ntu.edu.tw/handle/123456789/632362Lower and upper bounds on the trace of the positive semidefinite solution of the algebraic matrix Riccati and Lyapunov equation are derived. The upper trace bound obtained in many cases results in a tighter bound then the upper bound for the maximal eigenvalue proposed in two previously published papers.CONTROL SYSTEMS - Synthesis; ALGEBRAIC RICCATI EQUATIONS; LOWER/UPPER BOUNDS; LYAPUNOV MATRIX EQUATIONS; MAXIMAL EIGENVALUE; SUBOPTIMAL FEEDBACK DESIGN; MATHEMATICAL TECHNIQUESjournal article2-s2.0-0022757579