Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many of practical design specifications are provided by finite frequency properties described by inequalities over restricted finite frequency intervals. The properties are known as the important property in integrated design of plant and controller. Recently, it was proved that the property is equivalent to the dissipation inequality in time and space domain, where the dissipation inequality is an inequality which describes the energy and por interaction of a dynamical system with its outside environment. ,  consider a synthesis of a controller for finite frequency properties for n-dimensional systems described by partial differential equations. As a main result,  derive a necessary and sufficient condition for the achievability of a controller satisfying a finite frequency specification in terms of dissipation inequalities. This result clarifies a physical interpretation of the controller from the dissipativity viewpoint.
['Chiaki Kojima', 'Shinji Hara']
I am writing a research paper on a idea An achievability condition for n-dimensional behaviors with a finite frequency specification: Dissipation inequalities approach
[{"from": "human", "value": "I am writing a research paper on a idea An achievability condition for n-dimensional behaviors with a finite frequency specification: Dissipation inequalities approach"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many of practical design specifications are provided by finite frequency properties described by inequalities over restricted finite frequency intervals. The properties are known as the important property in integrated design of plant and controller. Recently, it was proved that the property is equivalent to the dissipation inequality in time and space domain, where the dissipation inequality is an inequality which describes the energy and por interaction of a dynamical system with its outside environment. ,  consider a synthesis of a controller for finite frequency properties for n-dimensional systems described by partial differential equations. As a main result,  derive a necessary and sufficient condition for the achievability of a controller satisfying a finite frequency specification in terms of dissipation inequalities. This result clarifies a physical interpretation of the controller from the dissipativity viewpoint."}]