Stability of NonNegative Lur'e Systems

DOI10.1137/140994599zbMath1381.93081OpenAlexW2362469508MaRDI QIDQ2807330

Stuart Townley, Adam Bill, Chris Guiver, Hartmut Logemann

Publication date: 20 May 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140994599

zbMATH Keywords

multiple equilibriaabsolute stabilitypositive systemsLur'e systempopulation modelinginput-to-state-stability

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Population dynamics (general) (92D25) Asymptotic stability in control theory (93D20) Robust stability (93D09) Positive matrices and their generalizations; cones of matrices (15B48) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Sensitivity and elasticity analysis of a Lur'e system used to model a population subject to density-dependent reproduction ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Small-gain stability theorems for positive Lur'e inclusions ⋮ Persistence and stability for a class of forced positive nonlinear delay-differential systems ⋮ The converging-input converging-state property for Lur'e systems ⋮ Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems ⋮ Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

Cites Work

• Persistence and global stability for a class of discrete time structured population models
• A compendium of comparison function results
• Feedback control systems analysis of density dependent population dynamics
• Positive dynamical systems in discrete time. Theory, models and applications
• Stability radius for structured perturbations and the algebraic Riccati equation
• Input to state stability and allied system properties
• Essays on the absolute stability theory
• Input-to-state stability of Lur'e systems
• M-matrix characterizations. I: nonsingular M-matrices
• Model reduction for state-space symmetric systems
• The McKendrick partial differential equation and its uses in epidemiology and population study
• Mathematical biology. Vol. 1: An introduction.
• Global asymptotic stability of density dependent integral population projection models
• Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems
• Low-Gain Control of Uncertain Regular Linear Systems
• Mathematical Systems Theory I
• A limit set trichotomy for monotone nonlinear dynamical systems
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Robust Stability of positive continuous time systems
• The Circle Criterion and Input-to-State Stability
• Ordinary Differential Equations
• Monotone maps: a review
• Cross-Positive Matrices
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