Dynamical Systems that Heal

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dc.contributor.authorFiske, Michael
dc.date.accessioned2022-12-27T19:23:11Z
dc.date.available2022-12-27T19:23:11Z
dc.date.issued2023-01-03
dc.description.abstractMalware plays a key role in attacking critical infrastructure. With this problem in mind, we introduce systems that heal from a broader perspective than the standard digital computer model: Our goal in a more general theory is to be applicable to systems that contain subsystems that do not solely rely on the execution of register machine instructions. Our broader approach assumes a dynamical system that performs tasks. Our primary contribution defines a principle of self-modifiability in dynamical systems and demonstrates how it can be used to heal a malfunctioning dynamical system. As far as we know, to date there has not been a mathematical notion of self-modifiability in dynamical systems; hitherto there has not been a formal system for describing how to heal damaged computer instructions or to heal differential equations that perform tasks.
dc.format.extent10
dc.identifier.doi10.24251/HICSS.2023.808
dc.identifier.isbn978-0-9981331-6-4
dc.identifier.urihttps://hdl.handle.net/10125/103442
dc.language.isoeng
dc.relation.ispartofProceedings of the 56th Hawaii International Conference on System Sciences
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectCybersecurity and Software Assurance
dc.subjectactive element machine
dc.subjectdifferential equation
dc.subjecthealing
dc.subjectmeta command
dc.subjectmeta operator
dc.subjectself-modifiability
dc.titleDynamical Systems that Heal
dc.type.dcmitext
prism.startingpage6685

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