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—The problem discussed is that of designing a controller for a linear system that renders a quadratic functional nonnegative. Our formulation and solution of this problem is completely representation-free. The system dynamics are specified by a differential behavior, and the performance is specified through a quadratic differential form. We view control as(More)
New algorithms for identification of a balanced state space representation are proposed. They are based on a procedure for the estimation of impulse response and sequential zero input responses directly from data. The proposed algorithms are more efficient than the existing alternatives that compute the whole Hankel matrix of Markov parameters. It is shown(More)
— This paper analyzes the observer design problem in the behavioral context. Observability and detectability notions are first introduced and fully characterized. Necessary and sufficient conditions for the existence of an observer, possibly an asymptotic or an exact one, are introduced, and a complete pa-rameterization of all admissible observers is given.(More)