Feedback and invariance under uncertainty via set-iterates, Automatica, vol.44, issue.2, pp.520-525, 2008. ,
DOI : 10.1016/j.automatica.2007.06.013
Approximation of reachable sets by direct solution methods for optimal control problems, Optimization Methods and Software, vol.54, issue.3, pp.433-452, 2007. ,
DOI : 10.1016/0167-6911(89)90073-X
A Computational Method for Non-convex Reachable Sets Using Optimal Control, Proceedings of the European Control Conference (ECC), pp.97-102, 2009. ,
Computing Aumanns Integral (eds) Modeling Techniques for Uncertain Systems, Proc. of a Conferences Progress in Systems and Control Theory, pp.71-92, 1992. ,
The propagation of parametric uncertainty via polytopes, IEEE Transactions on Automatic Control, vol.24, issue.2, pp.346-349, 1979. ,
DOI : 10.1109/TAC.1979.1102011
Multi-dimensional Images Given by Mappings: Construction and Visualization, Pattern Recognition and Image Analysis, vol.5, issue.1, pp.35-56, 1995. ,
Ellipsoidal Bounds on Reachable Sets of Dynamical Systems with Matrices Subjected to Uncertain Perturbations1, Journal of Optimization Theory and Applications, vol.36, issue.1, pp.1-19, 2000. ,
DOI : 10.1023/A:1004687620019
On the Joint Estimation of the Model and State of an Under-Determined System from the Results of Observations, Dokl. Math, vol.65, issue.3, pp.459-464, 2002. ,
Eine Fehlerabsch??tzung f??r diskretisierte Differentialeinschlie??ungen, Computing, vol.21, issue.4, pp.349-358, 1989. ,
DOI : 10.1007/BF02241223
Differential Equations with Discontinuous Right-Hand Sides. (Russian ), Nauka, 1985. ,
Trajectory Tubes of Nonlinear Differential Inclusions and State Estimation Problems, J. Concr. Appl. Math, vol.8, issue.3, pp.454-469, 2010. ,
On the Estimation of Trajectory Tubes of Differential Inclusions, Proc. Steklov Inst. Math, pp.28-37, 2000. ,
Estimates of reachable sets of multidimensional control systems with nonlinear interconnections, Proc. Steklov Inst. Math, pp.134-146, 2010. ,
DOI : 10.1134/S008154381006012X
Applied Interval Analysis, 2001. ,
DOI : 10.1007/978-1-4471-0249-6
URL : https://hal.archives-ouvertes.fr/hal-00845131
Interval Coordinatewise Estimates for the Set of Accessible States of a Linear Stationary System. I?IV, Autom. Remote Control, vol.41, issue.44, pp.598-606, 1980. ,
External and Internal Estimation of Attainability Domains by Means of Parallelotopes. (Russian), Vychisl. Tekhnol, vol.3, issue.2, pp.11-20, 1998. ,
Control synthesis via parallelotopes: optimzation and parallel compuations, Optimization Methods and Software, vol.41, issue.6, pp.267-310, 2001. ,
DOI : 10.1080/10556780108805805
Outer polyhedral estimates for attainability sets of systems with bilinear uncertainty, Journal of Applied Mathematics and Mechanics, vol.66, issue.4, pp.547-558, 2002. ,
DOI : 10.1016/S0021-8928(02)00073-4
On polyhedral estimates for reachable sets of discrete-time systems with bilinear uncertainty, Automation and Remote Control, vol.72, issue.9, pp.1841-1851, 2011. ,
DOI : 10.1134/S0005117911090062
On Polyhedral Estimates for Trajectory Tubes of Dynamical Discrete-Time Systems with Multiplicative Uncertainty, Differential Equations and Applications. 8th AIMS Conference, pp.864-873, 2011. ,
On Polyhedral Estimates for Reachable Sets of Differential Systems with a Bilinear Uncertainty. (Russian; to apperar), Trudy Instituta Matematiki i Mekhaniki UrO RAN, vol.18, issue.4, 2012. ,
Guaranteed Estimates of Accuracy of Computations in Problems of Control and Estimation. (Russian), Vychisl. Tekhnol, vol.2, issue.1, pp.19-27, 1997. ,
Dynamic Interactive System for Analysis of Linear Differential Inclusions (eds) Modeling Techniques for Uncertain Systems, Proc. of a Conferences Progress in Systems and Control Theory, pp.123-130, 1992. ,
Attainability Domains for Linear and Some Classes of Nonlinear Discrete Systems and Their Control, Journal of Automation and Information Sciences, vol.42, issue.1, pp.1-18, 2010. ,
DOI : 10.1615/JAutomatInfScien.v42.i1.10
Ellipsoidal Calculus for Estimation and Control, Birkhäuser, 1997. ,
DOI : 10.1007/978-1-4612-0277-6
On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations, Optimization Methods and Software, vol.15, issue.2, pp.177-206, 2002. ,
DOI : 10.1007/3-540-48983-5_10
On Ellipsoidal Techniques for Reachability Analysis. Part II: Internal Approximations Box-valued Constraints, Optimization Methods and Software, vol.1790, issue.2, pp.207-237, 2002. ,
DOI : 10.1016/0041-5553(75)90167-6
Interval parameter estimation under model uncertainty, Mathematical and Computer Modelling of Dynamical Systems, vol.66, issue.2, pp.225-237, 2005. ,
DOI : 10.1137/0732027
Ellipsoidal parameter or state estimation under model uncertainty, Automatica, vol.40, issue.7, pp.1171-1179, 2004. ,
DOI : 10.1016/j.automatica.2004.02.014
Approximation Schemas and Finite-Difference Operators for Constructing Generalized Solutions of Hamilton- Jacobi Equations, J. Comput. Systems Sci. Internat, vol.33, issue.6, pp.127-139, 1995. ,
Second order discrete approximations to strongly convex differential inclusions, Systems & Control Letters, vol.13, issue.3, pp.263-269, 1989. ,
DOI : 10.1016/0167-6911(89)90073-X
The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion, SIAM Journal on Control and Optimization, vol.28, issue.5, pp.1148-1161, 1990. ,
DOI : 10.1137/0328062