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Generalized Detectability for Discrete Event Systems.

Shaolong Shu¹, Feng Lin

¹School of Electronics and Information Engineering, Tongji University, Shanghai, China.

Systems & Control Letters

|June 22, 2011

Summary

This summary is machine-generated.

This study enhances discrete event system detectability by extending it to nondeterministic systems and introducing polynomial-time algorithms for strong detectability. New D-detectability concepts improve practical applications.

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Area of Science:

Control Theory
Computer Science
Systems Engineering

Background:

Previous work defined four types of detectability for deterministic discrete event systems.
Detectability is crucial for determining system states from observations.

Purpose of the Study:

Extend detectability to nondeterministic systems.
Develop efficient algorithms for strong detectability.
Introduce D-detectability for relaxed state identification.

Main Methods:

Generalization of detectability to nondeterministic discrete event systems.
Development of polynomial-time algorithms using a novel 'detector' automaton.
Extension of detectability to D-detectability, focusing on distinguishing state pairs.

Main Results:

Successful extension of detectability theory to nondeterministic systems.
Efficient polynomial-time algorithms for checking strong detectability.
Introduction of D-detectability, broadening the scope of state analysis.

Conclusions:

The extended theory of detectability is more applicable to real-world problems.
New algorithms offer significant computational advantages over previous methods.
D-detectability provides a flexible approach for state distinguishability.