Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In contrast to the conventional model predictive control (MPC) approach to control of a given system where a positive–definite objective function is employed, economic MPC employs a generic cost which is related to the ‘economics’ of the process as the objective function in the regulation layer. Often, stability proofs of the closed-loop system are based on strict-dissipativity of the system with respect to this objective function. ,  focus on linear systems with indefinite quadratic costs.  show that while strict–dissipativity guarantees stability of the closed–loop system, it is not required. Hence  formulate a necessary and sufficient condition that guarantees asymptotic stability of the closed loop system. This condition comes down to the existence of two distinct storage functions for which the system is dissipative.
['Olumuyiwa I. Olanrewaju', 'Jan M. Maciejowski']
I am writing a research paper on a idea Implications of dissipativity on stability of economic model predictive control—The indefinite linear quadratic case
[{"from": "human", "value": "I am writing a research paper on a idea Implications of dissipativity on stability of economic model predictive control\u2014The indefinite linear quadratic case"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In contrast to the conventional model predictive control (MPC) approach to control of a given system where a positive\u2013definite objective function is employed, economic MPC employs a generic cost which is related to the \u2018economics\u2019 of the process as the objective function in the regulation layer. Often, stability proofs of the closed-loop system are based on strict-dissipativity of the system with respect to this objective function. ,  focus on linear systems with indefinite quadratic costs.  show that while strict\u2013dissipativity guarantees stability of the closed\u2013loop system, it is not required. Hence  formulate a necessary and sufficient condition that guarantees asymptotic stability of the closed loop system. This condition comes down to the existence of two distinct storage functions for which the system is dissipative."}]