Sufficient Conditions for Minimality of a Nonlinear Realization via Controllability and Observability Functions

Jacquelien M.A. Scherpen, W. Steven Gray

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In this paper we develop a set of sufficient conditions in terms of controllability and observability functions under which a given state space realization of a formal power series is minimal. Specifically, it will be shown that positivity of these functions, plus a few technical conditions, implies minimality. In doing so, connections are established between Hamilton-Jacobi type optimal control theory and the well known necessary and sufficient conditions for minimality in terms of Kalman type rank conditions on the accessibility and observability distributions.
Original languageEnglish
Title of host publicationProceedings of the 1998 American Control Conference
PublisherUniversity of Groningen, Research Institute of Technology and Management
Number of pages5
ISBN (Print)0780345304
Publication statusPublished - 1998
Event1998 American Control Conference, Philadelphia, Pennsylvania, USA -
Duration: 24-Jun-199826-Jun-1998


Conference1998 American Control Conference, Philadelphia, Pennsylvania, USA

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