Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints

This study investigates the robust feedback set stabilization of switched logic control networks(SLCNs)with state-dependent uncertain switching and control constraints.First,based on the properties of the semi-tensor product of matrices and the vector representation of logic,an SLCN with state-dependent uncertain switching and control constraints is expressed in algebraic form.Second,an input transformation and a switching model are constructed to transfer the original SLCN into one with a free control input and arbitrary switching.The equivalence between the set stabilizability of the original SLCN and that of the resulting SLCN is established.Based on such equivalence,the authors propose a necessary and sufficient condition for robust feedback set stabilizability.Finally,an example is presented to demonstrate the application of the results obtained.

Resistive random access memory and its applications in storage and nonvolatile logic

The resistive random access memory（RRAM） device has been widely studied due to its excellent memory characteristics and great application potential in different fields. In this paper, resistive switching materials,switching mechanism, and memory characteristics of RRAM are discussed. Recent research progress of RRAM in high-density storage and nonvolatile logic application are addressed. Technological trends are also discussed.

Parallel processing via carbon field emission-based controlled switching of regular bijective nano systolic networks,part 1:basics

Purpose-The purpose of this paper is to introduce new implementations for parallel processing applications using bijective systolic networks and the corresponding carbon-based field emission controlled switching.The developed implementations are performed in the reversible domain to perform the required bijective parallel computing,where the implementations for parallel computations that utilize the presented field-emission controlled switching and their corresponding m-ary(many-valued)extensions for the use in nano systolic networks are introduced.The first part of the paper presents important fundamentals with regards to systolic computing and carbon-based field emission that will be utilized in the implementations within the second part of the paper.Design/methodology/approach-The introduced systolic systems utilize recent findings in field emission and nano applications to implement the functionality of the basic bijective systolic network.This includes many-valued systolic computing via field emission techniques using carbon-based nanotubes and nanotips.The realization of bijective logic circuits in current and emerging technologies can be very important for various reasons.The reduction of power consumption is a major requirement for the circuit design in future technologies,and thus,the new nano systolic circuits can play an important role in the design of circuits that consume minimal power for future applications such as in low-power signal processing.In addition,the implemented bijective systems can be utilized to implement massive parallel processing and thus obtaining very high processing performance,where the implementation will also utilize the significant size reduction within the nano domain.The extensions of implementations to field emission-based many-valued systolic networks using the introduced bijective nano systolic architectures are also presented.Findings-Novel bijective systolic architectures using nano-based field emission implementations are introduced in this paper,and the implementation using the general scheme of many-valued computing is presented.The carbon-based field emission implementation of nano systolic networks is also introduced.This is accomplished using the introduced field emission carbon-based devices,where field emission from carbon nanotubes and nano-apex carbon fibers is utilized.The implementations of the many-valued bijective systolic networks utilizing the introduced nano-based architectures are also presented.Originality/value-The introduced bijective systolic implementations form new important directions in the systolic realizations using the newly emerging nano-based technologies.The 2-to-1 multiplexer is a basic building block in“switch logic,”where in switch logic,a logic circuit is realized as a combination of switches rather than a combination of logic gates as in the gate logic,which proves to be less costly in synthesizing multiplexer-based wide variety of modern circuits and systems since nano implementations exist in very compact space where carbon-based devices switch reliably using much less power than silicon-based devices.The introduced implementations for nano systolic computation are new and interesting for the design in future nanotechnologies that require optimal design specifications of minimum power consumption and minimum size layout such as in low-power control of autonomous robots and in the adiabatic low-power very-large-scale-integration circuit design for signal processing applications.

Parallel processing via carbon field emission-based controlled-switching of regular bijective nano systolic networks,Part II Architectural implementation

Purpose–The purpose of this paper is to introduce new implementations for parallel processing applications using bijective systolic networks and their corresponding carbon-based field emission controlled switching.The developed implementations are performed in the reversible domain to perform the required bijective parallel computing,where the implementations for parallel computations that utilize the presented field-emission controlled switching and their corresponding many-valued(m-ary)extensions for the use in nano systolic networks are introduced.The second part of the paper introduces the implementation of systolic computing using two-to-one controlled switching via carbon-based field emission that were presented in the first part of the paper,and the computational extension to the general case of many-valued(m-ary)systolic networks utilizing many-to-one carbon-based field emission is also introduced.Design/methodology/approach–The introduced systolic systems utilize recent findings in field emission and nano applications to implement the functionality of the basic bijective systolic network.This includes many-valued systolic computing via field-emission techniques using carbon-based nanotubes and nanotips.The realization of bijective logic circuits in current and emerging technologies can be very important for various reasons.The reduction of power consumption is a major requirement for the circuit design in future technologies,and thus,the new nano systolic circuits can play an important role in the design of circuits that consume minimal power for future applications such as in low-power signal processing.In addition,the implemented bijective systems can be utilized to implement massive parallel processing and thus obtaining very high processing performance,where the implementation will also utilize the significant size reduction within the nano domain.The extensions of implementations to field emission-based many-valued systolic networks using the introduced bijective nano systolic architectures are also presented.Findings–Novel bijective systolic architectures using nano-based field emission implementations are introduced in this paper,and the implementation using the general scheme of many-valued computing is presented.The carbon-based field emission implementation of nano systolic networks is also introduced.This is accomplished using the introduced field-emission carbon-based devices,where field emission from carbon nanotubes and nano-apex carbon fibersisutilized.The implementationsof the many-valued bijective systolic networks utilizing the introduced nano-based architectures are also presented.Practical implications–The introduced bijective systolic implementations form new important directions in the systolic realizations using the newly emerging nano-based technologies.The 2-to-1 multiplexer is a basic building block in“switch logic,”where in switch logic,a logic circuit is realized as a combination of switches rather than a combination of logic gates as in the gate logic,which proves to be less costly in synthesizing multiplexer-based wide variety of modern circuits and systems since nano implementations exist in very compact space where carbon-based devices switch reliably using much less power than silicon-based devices.The introduced implementations for nano systolic computation are new and interesting for the design in future nanotechnologies that require optimal design specifications of minimum power consumption and minimum size layout such as in low-power control of autonomous robots and in the adiabatic low-power VLSI circuit design for signal processing applications.Originality/value–The introduced bijective systolic implementations form new important directions in the systolic realizations utilizing the newly emerging nanotechnologies.The introduced implementations for nano systolic computation are new and interesting for the design in future nanotechnologies that require optimal design specifications of high performance,minimum power and minimum size.