Equivalence of hybrid dynamical models

By W. M. Heemels, B. Schutter, Alberto Bemporad. at - Automatisierungstechnik, 2001

747 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/a8affd470bb5ceb47cca573522557e92319e2b26

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Citations in the corpus

HYSDEL-a tool for generating computational hybrid models for analysis and synthesis problems (2004, positive): “It is also possible to generate LC/ELC/MMPS systems using the constructive methods reported in [11].”
Identification of Hybrid Systems: A Tutorial (2007, positive): “The equivalence between PWA models and several classes of hybrid models [4, 34, 67] makes PWA system identification techniques suitable to obtain hybrid models from data.”
A Bayesian approach to identification of hybrid systems (2004, neutral): “PWARX models represent a broad class of hybrid systems, and they form a subclass of piecewise affine (PWA) models [1], which are under mild conditions equivalent to other hybrid modeling formalisms, such as mixed logic dynamics (MLD) systems [2] and linear complementarity (LC) models [3]–[5].”
Constrained Optimal Control of Linear and Hybrid Systems (2003, neutral): “In [85, 20] the authors have proven the equivalence of discrete-time PWA systems and other classes of discrete-time hybrid systems such as linear complementarity (LC) systems [83, 153, 84] and extended linear complementarity (ELC) systems [54], max-min-plus-scaling (MMPS) systems [55], and mixed log”
Control allocation - A survey (2013, background): “…linear effector model, piecewise linear cost function, and a constraint set that can be described as the non-convex union of polyhedral sets can be formulation as an MILP, see Bemporad and Morari (1998) and Heemels, Schutter, and Bemporad (2001) for equivalence classes and how to formulateMILPs.”
Analysis of event-driven controllers for linear systems (2008, neutral): “As we will see, we will need a discrete-time piecewise linear (PWL) model (see, e.g., Sontag (1981) and Heemels et al. (2001)) to analyse event-driven systems using uniform sampling.”
A bounded-error approach to piecewise affine system identification (2005, neutral): “In addition, given the equivalence between PW A systems and several classes of hybrid systems [6], [7], PWA”
Local and Piecewise Affine Approaches to System Identification (2003, neutral): “Other notable model structures for discrete time piecewise affine systems include MLD (Mixed Logical Dynamical) models [12], MMPS (Max-Min-Plus-Scaling) models, LC (Linear Complementary) models, and ELC (Extended Linear Complementary) models [62].”
Dynamical properties of hybrid automata (2003, neutral): “806650 [9], [10], complementarity systems [11], [12], mixed logic dynamical systems [13], etc.”
Finite constraint set receding horizon quadratic control (2004, neutral): “References [28, 29] and the references therein.”
A survey on stability analysis of discrete-time piecewise affine systems (2005, background): “Discrete-time PWA systems are equivalent to interconnections of linear systems and finite automata (Sontag, 1996), to linear complementary systems (Heemels et al., 2001) and also hybrid systems in mixed logical dynamical (MLD) form (Bemporad and Morari, 1999).”
Identification of piecewise affine systems via mixed-integer programming (2004, neutral): “Most literature on hybrid systems has dealt with modeling [1] [2], stability analysis [3] [4], control [2] [5] [6], verification [7] [8] [9], and fault detection [10] [11].”