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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271805
