Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given a linear time-invariant plant, the search for a suitable multiplier over the class of Zames?Falb multipliers is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames?Falb multipliers. This letter analyses the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anti-causal multipliers. The addition of a Popov multiplier to the anti-causal Zames?Falb multiplier is implemented by analogy with the causal search. As a result, a search over a non-causal subset of Zames?Falb multipliers is obtained. A comparison beten all the search methods proposed in the literature is given.
['Joaquín Carrasco', 'Martin Maya-Gonzalez', 'Alexander Lanzon', 'William Paul Heath']
I am writing a research paper on a idea LMI searches for anticausal and noncausal rational Zames?Falb multipliers
[{"from": "human", "value": "I am writing a research paper on a idea LMI searches for anticausal and noncausal rational Zames?Falb multipliers"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given a linear time-invariant plant, the search for a suitable multiplier over the class of Zames?Falb multipliers is a challenging problem which has been studied for several decades. Recently, a new linear matrix inequality search has been proposed over rational and causal Zames?Falb multipliers. This letter analyses the conservatism of the restriction to causality on the multipliers and presents a complementary search for rational and anti-causal multipliers. The addition of a Popov multiplier to the anti-causal Zames?Falb multiplier is implemented by analogy with the causal search. As a result, a search over a non-causal subset of Zames?Falb multipliers is obtained. A comparison beten all the search methods proposed in the literature is given."}]