DocumentCode
404091
Title
Orthotopic and ellipsoidal simulations for a class of non-linear systems
Author
Calafiore, Giuseppe
Author_Institution
Dipt. di Autom. e Inf., Politecnico di Torino, Italy
Volume
4
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
4179
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.
Keywords
discrete time systems; elliptic equations; nonlinear control systems; numerical analysis; stability; discrete time quadratic systems; ellipsoidal simulations; nonlinear systems; numerically efficient algorithms; orthotopic simulations; qualitative behaviors; set simulation; stability; Computational modeling; Ellipsoids; Filtering; Information analysis; Linear systems; Nonlinear filters; Stability; State-space methods; Stochastic resonance; Stochastic systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1271805
Filename
1271805
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