Recursive prediction error identification using the nonlinear Wiener model
Automatica (Journal of IFAC) - Special section on fault detection, supervision and safety for technical processes
Nonlinear black-box modeling in system identification: a unified overview
Automatica (Journal of IFAC) - Special issue on trends in system identification
Interconnected automata and linear systems: a theoretical framework in discrete-time
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
A new algorithm for learning in piecewise-linear neural networks
Neural Networks
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
A greedy approach to identification of piecewise affine models
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Piecewise linear system modeling based on a continuous thresholddecomposition
IEEE Transactions on Signal Processing
Diagnosis of quantized systems based on a timed discrete-eventmodel
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Controllers for reachability specifications for hybrid systems
Automatica (Journal of IFAC)
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
A clustering technique for the identification of piecewise affine systems
Automatica (Journal of IFAC)
Recursive subspace identification of linear and non-linear Wiener state-space models
Automatica (Journal of IFAC)
On the hinge-finding algorithm for hingeing hyperplanes
IEEE Transactions on Information Theory
Hinging hyperplanes for regression, classification, and function approximation
IEEE Transactions on Information Theory
Efficient algorithms for function approximation with piecewise linear sigmoidal networks
IEEE Transactions on Neural Networks
A multilayer neural network with piecewise-linear structure and back-propagation learning
IEEE Transactions on Neural Networks
Constructive neural networks with piecewise interpolation capabilities for function approximations
IEEE Transactions on Neural Networks
Brief paper: Identification of dynamic systems using Piecewise-Affine basis function models
Automatica (Journal of IFAC)
Switching systems: active mode recognition, identification of the switching law
Journal of Control Science and Engineering
Recursive identification of switched ARX systems
Automatica (Journal of IFAC)
Fuzzy Clustering for the Identification of Hinging Hyperplanes Based Regression Trees
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Algebraic Identification of MIMO SARX Models
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Switched and PieceWise Nonlinear Hybrid System Identification
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Identification of piecewise affine systems by means of fuzzy clustering and competitive learning
Engineering Applications of Artificial Intelligence
Optimization Methods & Software - GLOBAL OPTIMIZATION
Survey paper: Direction-dependent systems - A survey
Automatica (Journal of IFAC)
Symbolic modeling of driving behavior based on hierarchical segmentation and formal grammar
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Identifiability of discrete-time linear switched systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
A neural network of smooth hinge functions
IEEE Transactions on Neural Networks
Brief paper: A continuous optimization framework for hybrid system identification
Automatica (Journal of IFAC)
Brief paper: On a reachability problem for affine hypersurface systems on polytopes
Automatica (Journal of IFAC)
Identification of switched linear systems via sparse optimization
Automatica (Journal of IFAC)
A k-plane clustering algorithm for identification of hybrid systems
ACMOS'06 Proceedings of the 8th WSEAS international conference on Automatic control, modeling & simulation
Comparison of four procedures for the identification of hybrid systems
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Automatica (Journal of IFAC)
Identification of piecewise affine systems based on statistical clustering technique
Automatica (Journal of IFAC)
Realisation and estimation of piecewise-linear output-error models
Automatica (Journal of IFAC)
Hinging hyperplane based regression tree identified by fuzzy clustering and its application
Applied Soft Computing
Identification of switched linear regression models using sum-of-norms regularization
Automatica (Journal of IFAC)
Learning nonlinear hybrid systems: from sparse optimization to support vector regression
Proceedings of the 16th international conference on Hybrid systems: computation and control
A novel adaptive fuzzy predictive control for hybrid systems with mixed inputs
Engineering Applications of Artificial Intelligence
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This paper addresses the problem of identification of hybrid dynamical systems, by focusing the attention on hinging hyperplanes and Wiener piecewise affine autoregressive exogenous models, in which the regressor space is partitioned into polyhedra with affine submodels for each polyhedron. In particular, we provide algorithms based on mixed-integer linear or quadratic programming which are guaranteed to converge to a global optimum. For the special case where the estimation data only seldom switches between the different submodels, we also suggest a way of trading off between optimality and complexity by using a change detection approach.