Abstract Conic relations of an input-output system are important system properties that can be exploited in order to design robust controllers. Therefore, we study the problem of determining the minimal… Click to show full abstract
Abstract Conic relations of an input-output system are important system properties that can be exploited in order to design robust controllers. Therefore, we study the problem of determining the minimal cone containing such an input-output system. While in applications the input-output relation itself is often undisclosed, input-output data tuples can be sampled. Therefore, we present an iterative sampling approach to determine conic relations of a linear time-invariant system from input-output data. This sampling approach is based on saddle-point dynamics, whose convergence properties are then investigated.
               
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