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Details van artikel 37 van 44 gevonden artikelen
| Titel: |
Stability and dissipativity theory for discrete-time non-negative and compartmental dynamical systems |
| Auteur: |
Haddad, Wassim M. Chellaboina, Vijay Sekhar August, Elias |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 76 (2003) nr. 18 pagina's 1845-1861 |
| Jaar: |
2003-12-15 |
| Inhoud: |
Non-negative and compartmental dynamical systems are derived from mass and energy balance considerations that involve dynamic states whose values are non-negative. These models are widespread in engineering, biomedicine and ecology. In this paper we develop several results on stability, dissipativity and stability of feedback interconnections of discrete-time linear and non-linear non-negative dynamical systems. Specifically, using linear Lyapunov functions we first develop necessary and sufficient conditions for Lyapunov stability and asymptotic stability for non-negative systems. In addition, using linear and non-linear storage functions with linear supply rates we develop new notions of dissipativity theory for non-negative dynamical systems. Finally, these results are used to develop general stability criteria for feedback interconnections of non-negative dynamical systems. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 37 van 44 gevonden artikelen
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