Technical Communique: Nonlinear bounded-error state estimation of continuous-time systems

By L. Jaulin. 2002

204 citations recorded by the source corpus.

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Guaranteed state estimation by zonotopes (2003, methodology): “To improve the exponential complexity, consistency techniques are considered in [6].”
Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems (2015, methodology): “Initially developed for algebraic models in the early 1990s (Moore, 1992; Jaulin and Walter, 1993), these techniques were later extended to dynamic models using ODE bounding techniques (e.g., Jaulin, 2002; Raissi et al., 2004).”
GUARANTEED NONLINEAR STATE ESTIMATION FOR CONTINUOUS-TIME DYNAMICAL MODELS FROM DISCRETE-TIME MEASUREMENTS (2006, background): “In a more general context, a recursive state estimation algorithm based on the guaranteed numerical integration of ordinary differential equations (ODEs) (Berz and Makino, 1998; Nedialkov and Jackson, 2001) has been presented in (Jaulin, 2002), for the case where there are no state perturbations.”
Interval State Estimation for a Class of Nonlinear Systems (2012, methodology): “The first one [17], [20], [21], [31] is based on the well-known prediction/correction mechanism as in the Kalman filter.”
Interval state observer for nonlinear time varying systems (2013, unknown): “There are several approaches to design interval observers [3], [7], [8], [12].”