Nonsingularity of feedback shift registers

DOI10.1016/j.automatica.2015.03.014zbMath1423.94042OpenAlexW2093380511MaRDI QIDQ1689380

Yuzhen Wang, Zhenbin Liu, Daizhan Cheng

Publication date: 12 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.03.014

zbMATH Keywords

cyclesemi-tensor productfeedback shift registernonsingularitydecomposition and synthesis

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Applications of difference equations (39A60)

Related Items (10)

Pinning control design for feedback stabilization of constrained Boolean control networks ⋮ Linearization of multi-valued nonlinear feedback shift registers ⋮ Matrix expression of finite Boolean-type algebras ⋮ Robust feedback set stabilization of logic networks with state-dependent uncertain switching and control constraints ⋮ Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization ⋮ \(l_{1}\)-gain analysis and model reduction problem for Boolean control networks ⋮ Lyapunov‐Based Stability of Mix‐Valued Logical Networks ⋮ On stability of multi-valued nonlinear feedback shift registers ⋮ \(L(p,q)\)-label coloring problem with application to channel allocation ⋮ Pinning control design for robust output tracking of \(k\)-valued logical networks

Cites Work

• Unnamed Item
• Unnamed Item
• Boolean derivative calculation with application to fault detection of combinational circuits via the semi-tensor product method
• Controllability of Boolean control networks via the Perron-Frobenius theory
• A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems
• Controllability and observability of Boolean control networks
• Realization of Boolean control networks
• Analysis and control of Boolean networks. A semi-tensor product approach.
• Controller design for disturbance decoupling of Boolean control networks
• Disturbance decoupling of mix-valued logical networks via the semi-tensor product method
• ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS
• Condition for the nonsingularity of a feedback shift-register over a general finite field (Corresp.)
• A Linear Representation of Dynamics of Boolean Networks

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