Linear complementarity systems
SIAM Journal on Applied Mathematics
Optimal Control of a Class of Linear Hybrid Systems with Saturation
SIAM Journal on Control and Optimization
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
A Hybrid Approach to Traction Control
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Reconfiguration in Hierarchical Control of Piecewise-Affine Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
On the Optimal Control Law for Linear Discrete Time Hybrid Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Analysis of Discrete-Time PWA Systems with Logic States
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Languages and tools for hybrid systems design
Foundations and Trends in Electronic Design Automation
Stable Model Predictive Control for Constrained Max-Plus-Linear Systems
Discrete Event Dynamic Systems
Brief paper: Identification of dynamic systems using Piecewise-Affine basis function models
Automatica (Journal of IFAC)
Relating Hybrid Chi to Other Formalisms
Electronic Notes in Theoretical Computer Science (ENTCS)
Hybrid Fuzzy Modelling for Model Predictive Control
Journal of Intelligent and Robotic Systems
Automatica (Journal of IFAC)
Evaluating the performance of control schemes for hybrid systems a practical approach
ISTASC'06 Proceedings of the 6th WSEAS International Conference on Systems Theory & Scientific Computation
Switching systems: active mode recognition, identification of the switching law
Journal of Control Science and Engineering
Optimal complexity reduction of polyhedral piecewise affine systems
Automatica (Journal of IFAC)
Observer-Based Control of Linear Complementarity Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Parameter Synthesis for Piecewise Affine Systems from Temporal Logic Specifications
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Automatica (Journal of IFAC)
Exact Cost Performance Analysis of Piecewise Affine Systems
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
Brief paper: Receding horizon control of switching systems
Automatica (Journal of IFAC)
Multiobjective model predictive control
Automatica (Journal of IFAC)
Rate admission control for hard real-time task scheduling
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Foundations of a compositional interchange format for hybrid systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Modeling and optimal control of hybrid rigidbody mechanical systems
HSCC'07 Proceedings of the 10th international conference 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
Efficient mode enumeration of compositional hybrid systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Modeling and predictive control of tow tank system by MLD approach
CSS'10 Proceedings of the 4th international conference on Circuits, systems and signals
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
On oscillations damping and control for a class of affine systems
GAVTASC'11 Proceedings of the 11th WSEAS international conference on Signal processing, computational geometry and artificial vision, and Proceedings of the 11th WSEAS international conference on Systems theory and scientific computation
A clustering-based approach for the identification of a class of temporally switched linear systems
Pattern Recognition Letters
Feedforward control of a class of hybrid systems using an inverse model
Mathematics and Computers in Simulation
Infinity norms as lyapunov functions for model predictive control of constrained PWA systems
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Stabilizing low complexity feedback control of constrained piecewise affine systems
Automatica (Journal of IFAC)
Dynamic programming for constrained optimal control of discrete-time linear hybrid systems
Automatica (Journal of IFAC)
Identification of piecewise affine systems based on statistical clustering technique
Automatica (Journal of IFAC)
Soft variable-structure controls: a survey
Automatica (Journal of IFAC)
Identification of piecewise affine systems via mixed-integer programming
Automatica (Journal of IFAC)
Simultaneous state and input estimation of hybrid systems with unknown inputs
Automatica (Journal of IFAC)
A global piecewise smooth Newton method for fast large-scale model predictive control
Automatica (Journal of IFAC)
On the equivalence of linear complementarity problems
Operations Research Letters
Formal analysis of piecewise affine systems through formula-guided refinement
Automatica (Journal of IFAC)
Two-channel adaptive hybrid control of the air-to-fuel ratio and torque of automobile engines
Automation and Remote Control
Technical communique: Relaxing PWQ Lyapunov stability criteria for PWA systems
Automatica (Journal of IFAC)
Identification of switched linear regression models using sum-of-norms regularization
Automatica (Journal of IFAC)
Hybrid control lyapunov functions for the stabilization of hybridsystems
Proceedings of the 16th international conference on Hybrid systems: computation and control
A parametric branch and bound approach to suboptimal explicit hybrid MPC
Automatica (Journal of IFAC)
Hybrid-fuzzy modeling and identification
Applied Soft Computing
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This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes, one can choose the most convenient hybrid modeling framework.