Archivio Istituzionale della RicercaIn this paper, we address the problem of propagating in time an orthotopic or ellipsoidal bounding set for the state of discrete-time quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and other qualitative behaviors of the possible trajectories of the system. The bounding sets are computed recursively via numerically efficient algorithms.
Orthotopic and Ellipsoidal Simulations for a Class of Non-Linear Systems / Calafiore, Giuseppe Carlo. - STAMPA. - 4:(2003), pp. 4179-4184. (Intervento presentato al convegno IEEE Conference on Decision and Control tenutosi a Maui nel 9-12 Dec. 2003) [10.1109/CDC.2003.1271805].
Orthotopic and Ellipsoidal Simulations for a Class of Non-Linear Systems
CALAFIORE, Giuseppe Carlo
2003
Abstract
In this paper, we address the problem of propagating in time an orthotopic or ellipsoidal bounding set for the state of discrete-time quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and other qualitative behaviors of the possible trajectories of the system. The bounding sets are computed recursively via numerically efficient algorithms.
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https://hdl.handle.net/11583/1408972
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