Developing stability and boundedness conditions for LPV systems exploiting pointwise hurwitzness
Tóm tắt
This paper deals with the stability analysis problem of continuous linear parameter varying (LPV) systems. The basic form of LPV systems are addressed in this paper and valuable results are proposed concerning the boundedness and stability concepts of these systems. A set of conditions are developed to explore the boundedness of LPV system based on some inherent properties of these systems. Then, the global stability problem of LPV systems is separately investigated based on the boundedness of the system. It has been mathematically proven that the stability conditions of LPV systems can be basically relaxed through the boundedness assumption. It has been shown the Lyapunov matrix of parameter dependent Lyapunov functions is not needed to be positive that surely reduces the conservativeness of the stability conditions. Finally, two illustrating examples are presented to explain all aspects of the results.
Tài liệu tham khảo
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