TY - BOOK AU - Chen,Xiaoming ED - SpringerLink (Online service) TI - Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance T2 - Springer Theses, Recognizing Outstanding Ph.D. Research, SN - 9789811022272 U1 - 629.8 23 PY - 2017/// CY - Singapore PB - Springer Singapore, Imprint: Springer KW - Mechanical Engineering KW - Microprogramming KW - Control and Systems Theory KW - Control Structures and Microprogramming N2 - This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control. UR - https://doi.org/10.1007/978-981-10-2227-2 ER -