Asymptotic amplitudes and cauchy gains: A small-gain principle and an application to inhibitory biological feedback
| dc.creator | Sontag, Eduardo D. | |
| dc.date | 2001-12-20 | |
| dc.date.accessioned | 2026-07-07T04:45:25Z | |
| dc.date.available | 2026-07-07T04:45:25Z | |
| dc.description | The notions of asymptotic amplitude for signals, and Cauchy gain for input/output systems, and an associated small-gain principle, are introduced. These concepts allow the consideration of systems with multiple, and possibly feedback-dependent, steady states. A Lyapunov-like characterization allows the computation of gains for state-space systems, and the formulation of sufficient conditions insuring the lack of oscillations and chaotic behaviors in a wide variety of cascades and feedback loops. An application in biology (MAPK signaling) is worked out in detail. | |
| dc.description | Updates and replaces math.OC/0112021 See http://www.math.rutgers.edu/~sontag/ for related work | |
| dc.identifier | https://arxiv.org/abs/math/0112232 | |
| dc.identifier | http://arxiv.org/abs/math/0112232 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62948 | |
| dc.subject | Optimization and Control | |
| dc.subject | Dynamical Systems | |
| dc.subject | 93B52;93D20;35B35 | |
| dc.title | Asymptotic amplitudes and cauchy gains: A small-gain principle and an application to inhibitory biological feedback | |
| dc.type | text |