Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For 2D systems computational stability tests are a requirement for applications. Tests in the frequency domain exist, but unlike those for the standard linear systems case, these can be computationally intensive and/or fail to provide a basis for the formulation and solution of, for example, the stabilization problem.  investigates the problem of asymptotic stability for 2D systems described by the Roesser state-space model. Both discrete and hybrid (continuous-discrete) systems are considered and the generalized Kalman-Yakubovich-Popov lemma, a central result in systems theory, is used to develop less conservative stability conditions in terms of a convex optimization problem over linear matrix inequalities. Illustrative examples are given to show the effectiveness of the new results.
['Wojciech Paszke', 'Eric Rogers', 'Krzysztof Galkowski']
I am writing a research paper on a idea Generalized Kalman-Yakubovich-Popov lemma based stability conditions for 2D linear systems
[{"from": "human", "value": "I am writing a research paper on a idea Generalized Kalman-Yakubovich-Popov lemma based stability conditions for 2D linear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: For 2D systems computational stability tests are a requirement for applications. Tests in the frequency domain exist, but unlike those for the standard linear systems case, these can be computationally intensive and/or fail to provide a basis for the formulation and solution of, for example, the stabilization problem.  investigates the problem of asymptotic stability for 2D systems described by the Roesser state-space model. Both discrete and hybrid (continuous-discrete) systems are considered and the generalized Kalman-Yakubovich-Popov lemma, a central result in systems theory, is used to develop less conservative stability conditions in terms of a convex optimization problem over linear matrix inequalities. Illustrative examples are given to show the effectiveness of the new results."}]