Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance (Springer Theses) - Hardcover

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Xiaoming Chen is a professor with the College of Information Science and Electronic Engineering, Zhejiang University, China. His research interests are in the areas of wireless communication and signal processing, mainly including fifth-generation (5G) key techniques, IoT theory and technique, and machine learning in communications. Prof. Chen has published more than 100 referred papers in IEEE Journals and conferences. He is serving as an Editor of IEEE Transactions on Communications and IEEE Communications Letters.

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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.