Stability of time-delay systems

Show simple item record Lee, T. en_US Dianat, Sohail en_US 2006-12-18T17:38:37Z en_US 2006-12-18T17:38:37Z en_US 1981-08 en_US
dc.identifier.citation IEEE Transactions on Automatic Control 26N4 (1981) 951-953 en_US
dc.identifier.issn 0018-9286 en_US
dc.identifier.uri en_US
dc.description Original source of PDF file: en_US
dc.description.abstract This paper gives necessary and sufficient conditions for the stability of time-delay systems of the formdot{x}(t)=A_{1}x(t)+A_{2}x(t-h). These new conditions are derived by Lyapunov's direct method through systematic construction of the corresponding "energy" function. This function is known to exist, if a solutionP_{1}(0)of the algebraic nonlinear matrix equationA_{2} =e^{[A_{1}+P_{1}(0)]h}P_{1}(0)can be determined (Refer to PDF file for exact formulas). en_US
dc.format.extent 302300 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.publisher Institute of Electrical and Electronics Engineers (IEEE) en_US
dc.relation RIT Scholars content from RIT Digital Media Library has moved from to RIT Scholar Works, please update your feeds & links!
dc.relation.ispartofseries vol. 26 en_US
dc.relation.ispartofseries no. 4 en_US
dc.subject Delay systems - linear en_US
dc.subject Lyapunov methods - linear systems en_US
dc.title Stability of time-delay systems en_US
dc.type Article en_US

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