Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance

Chen, Xiaoming.

Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance [electronic resource] / - 1st ed. 2017. - XIX, 116 p. 37 illus. in color. | Binding - Card Paper | - Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 . - Springer Theses, Recognizing Outstanding Ph.D. Research, .

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. .

9789811022272


Mechanical Engineering

Microprogramming . Control and Systems Theory. Control Structures and Microprogramming.

629.8
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