Contraction after small transients
From MaRDI portal
Publication:259436
DOI10.1016/j.automatica.2016.01.018zbMath1335.93059arXiv1506.06613OpenAlexW2270472693MaRDI QIDQ259436
Michael Margaliot, Tamir Tuller, Eduardo D. Sontag
Publication date: 11 March 2016
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06613
Iterative procedures involving nonlinear operators (47J25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15) Systems biology, networks (92C42)
Related Items
On contraction in mean square of stochastic difference systems with delays ⋮ On Contraction of Functional Differential Equations ⋮ On contraction of functional differential equations with Markovian switching ⋮ Quasi Contraction of Stochastic Functional Differential Equations ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Contraction of stochastic differential equations ⋮ \(k\)-contraction: theory and applications ⋮ Random Attraction in the TASEP Model
Cites Work
- Unnamed Item
- Unnamed Item
- Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems
- On contraction analysis for non-linear systems
- Logarithmic Lipschitz norms and diffusion-induced instability
- Convergent systems vs. incremental stability
- The logarithmic norm. History and modern theory
- Backstepping controller synthesis and characterizations of incremental stability
- Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
- Contraction theory on Riemannian manifolds
- On partial contraction analysis for coupled nonlinear oscillators
- Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
- A Differential Lyapunov Framework for Contraction Analysis
- <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting
- Modular stability tools for distributed computation and control
- Control system design for mechanical systems using contraction theory
- A Contraction Theory Approach to Stochastic Incremental Stability
- A Lyapunov approach to incremental stability properties
- Nonequilibrium steady states of matrix-product form: a solver's guide
- Metric Properties of Differential Equations
- A Contraction Approach to the Hierarchical Analysis and Design of Networked Systems