Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A functional differential inclusion-based approach to L 2 -gain analysis and feedback control problems is presented for a class of discontinuous time-delay systems. Motivated by Filippov solution in the differential equations with discontinuous right-hand side, definition of the discontinuous time-delay systems forced by external signals is introduced, and a description of L 2 -gain property in the sense of the solution concept is given. Then, a condition such that a given discontinuous time-delay system has L 2 -gain less than a given level and the unforced system is stable in the sense of Filippov solution is presented based on a delay-dependent partial differential inequality. Furthermore, using the presented condition, a design method of state feedback controller is shown such that the closed-loop system satisfies the L 2 -gain constraint and asymptotical stability. Numerical examples are presented to demonstrate the presented theoretical results.
['Jiangyan Zhang', 'Tielong Shen', 'Xiaohong Jiao']
I am writing a research paper on a idea L 2 -gain analysis and feedback design for discontinuous time-delay systems based on functional differential inclusion
[{"from": "human", "value": "I am writing a research paper on a idea L 2 -gain analysis and feedback design for discontinuous time-delay systems based on functional differential inclusion"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A functional differential inclusion-based approach to L 2 -gain analysis and feedback control problems is presented for a class of discontinuous time-delay systems. Motivated by Filippov solution in the differential equations with discontinuous right-hand side, definition of the discontinuous time-delay systems forced by external signals is introduced, and a description of L 2 -gain property in the sense of the solution concept is given. Then, a condition such that a given discontinuous time-delay system has L 2 -gain less than a given level and the unforced system is stable in the sense of Filippov solution is presented based on a delay-dependent partial differential inequality. Furthermore, using the presented condition, a design method of state feedback controller is shown such that the closed-loop system satisfies the L 2 -gain constraint and asymptotical stability. Numerical examples are presented to demonstrate the presented theoretical results."}]