On Lyapunov functionals for linear functional difference equations
This paper presents new Lyapunov results for investigating the exponential stability property of general classes of linear functional difference equations by means of continuous and differentiable functionals. The results generalize some existing ones for the exponential stability of difference equa...
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| Vydáno v: | Systems & control letters Ročník 127; s. 1 - 5 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.05.2019
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| Témata: | |
| ISSN: | 0167-6911, 1872-7956 |
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| Abstract | This paper presents new Lyapunov results for investigating the exponential stability property of general classes of linear functional difference equations by means of continuous and differentiable functionals. The results generalize some existing ones for the exponential stability of difference equations in continuous time with discrete and discrete plus distributed delays. |
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| AbstractList | This paper presents new Lyapunov results for investigating the exponential stability property of general classes of linear functional difference equations by means of continuous and differentiable functionals. The results generalize some existing ones for the exponential stability of difference equations in continuous time with discrete and discrete plus distributed delays. |
| Author | Melchor-Aguilar, D. |
| Author_xml | – sequence: 1 givenname: D. surname: Melchor-Aguilar fullname: Melchor-Aguilar, D. email: dmelchor@ipicyt.edu.mx organization: Division of Applied Mathematics, IPICYT, 78216, San Luis Potosí, SLP, Mexico |
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| Cites_doi | 10.1016/S0022-247X(02)00202-0 10.1002/rnc.3249 10.1109/TAC.2015.2437519 10.1016/0024-3795(94)00183-9 10.1002/rnc.1405 10.1016/j.sysconle.2013.06.003 10.1016/j.automatica.2014.10.087 10.1016/j.sysconle.2011.09.013 10.1016/j.automatica.2016.01.049 10.1016/j.automatica.2014.10.048 10.1016/j.aml.2003.06.011 |
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| Copyright | 2019 Elsevier B.V. |
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| Keywords | Exponential stability Lyapunov functionals Linear functional difference equations |
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| References | Carvalho (b5) 1996; 240 Pepe (b17) 2005; 41 Karafyllis, Krstic (b1) 2014; 20 Shaikhet (b3) 2004; 17 Damak, Di Loreto, Lombardy, Adrieu (b6) 2014; 50 Damak, Di Loreto, Mondié, Brun (b8) 2016; 61 Melchor-Aguilar (b10) 2013; 62 Fridman (b16) 2002; 273 Damak, Di Loreto, Mondié (b7) 2015; 25 Hale, Verduyn-Lunel (b13) 1993 Pepe (b2) 2014; 50 Melchor-Aguilar, Kharitonov, Lozano (b12) 2010; 20 Gil, Cheng (b15) 2007 Melchor-Aguilar (b14) 2016; 67 Melchor-Aguilar (b9) 2012; 61 Verriest (b4) 2001; 37 Melchor-Aguilar (b11) 2013; 219 Damak (10.1016/j.sysconle.2019.03.008_b7) 2015; 25 Hale (10.1016/j.sysconle.2019.03.008_b13) 1993 Fridman (10.1016/j.sysconle.2019.03.008_b16) 2002; 273 Melchor-Aguilar (10.1016/j.sysconle.2019.03.008_b11) 2013; 219 Gil (10.1016/j.sysconle.2019.03.008_b15) 2007 Verriest (10.1016/j.sysconle.2019.03.008_b4) 2001; 37 Karafyllis (10.1016/j.sysconle.2019.03.008_b1) 2014; 20 Damak (10.1016/j.sysconle.2019.03.008_b8) 2016; 61 Pepe (10.1016/j.sysconle.2019.03.008_b2) 2014; 50 Melchor-Aguilar (10.1016/j.sysconle.2019.03.008_b14) 2016; 67 Pepe (10.1016/j.sysconle.2019.03.008_b17) 2005; 41 Melchor-Aguilar (10.1016/j.sysconle.2019.03.008_b12) 2010; 20 Carvalho (10.1016/j.sysconle.2019.03.008_b5) 1996; 240 Melchor-Aguilar (10.1016/j.sysconle.2019.03.008_b10) 2013; 62 Melchor-Aguilar (10.1016/j.sysconle.2019.03.008_b9) 2012; 61 Damak (10.1016/j.sysconle.2019.03.008_b6) 2014; 50 Shaikhet (10.1016/j.sysconle.2019.03.008_b3) 2004; 17 |
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