Supervisory control of a class of discrete event processes
SIAM Journal on Control and Optimization
On observability of discrete-event systems
Information Sciences: an International Journal - Robotics and Automation/Control Series
Decentralized supervisory control of discrete-event systems
Information Sciences: an International Journal - Robotics and Automation/Control Series
Decentralized supervisory control of discrete event systems with nonhomogeneous control structure
Information Sciences: an International Journal
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Representation and application of fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
What's decidable about hybrid automata?
Journal of Computer and System Sciences
Fuzzy Sets and Systems
Synthesis and Viability of Minimally Interventive LegalControllers for Hybrid Systems
Discrete Event Dynamic Systems
Automata For Modeling Real-Time Systems
ICALP '90 Proceedings of the 17th International Colloquium on Automata, Languages and Programming
From Discrete Event to Hybrid Systems
WODES '02 Proceedings of the Sixth International Workshop on Discrete Event Systems (WODES'02)
Decision making in fuzzy discrete event systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Fuzzy discrete-event systems under fuzzy observability and a test algorithm
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Diagnosability of fuzzy discrete-event systems: a fuzzy approach
IEEE Transactions on Fuzzy Systems
Theorem of abstraction for equivalent controllers in hybrid systems
Information Sciences: an International Journal
Reliable decentralized supervisory control of fuzzy discrete event systems
Fuzzy Sets and Systems
A Fuzzy Discrete Event System Approach to Determining Optimal HIV/AIDS Treatment Regimens
IEEE Transactions on Information Technology in Biomedicine
Modeling and control of fuzzy discrete event systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Supervisory control of fuzzy discrete event systems: a formal approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Supervisory control of fuzzy discrete event systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
State-Based Control of Fuzzy Discrete-Event Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Controllers for reachability specifications for hybrid systems
Automatica (Journal of IFAC)
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A hybrid system is a system containing a mixture of discrete event components and continuous variable components. The existing hybrid system modeling methods are effective to handle crisp cases but can be difficult to represent deterministic uncertainties and subjectivity inherited in many real-world applications. We generalize the crisp hybrid system framework to a fuzzy hybrid system framework by using fuzzy set theory; the latter contains the former as a special case. We utilize fuzzy sets, type-1 and type-2, to capture and represent uncertainties in the hybrid system's states and variables. We develop algorithms to calculate fuzzy states and their transitions and propose a parallel composition method for modeling a complex fuzzy hybrid system through composing its components. This new formal, mathematical framework, capable of modeling a hybrid system with fuzzy states and various types of continuous dynamic processes, regardless whether they are available explicitly or implicitly e.g., fuzzy systems and neural networks, establishes a basis for systematic study of the fuzzy hybrid systems. It can also be employed for computer simulation investigation, analogous to the discrete event simulation methodology. An example fuzzy hybrid system involving fuzzy differential equations as continuous variable component is provided to illustrate the new theory.