Arc-length-based Lyapunov tests for convergence and stability with applications to systems having a continuum of equilibria
From MaRDI portal
Publication:661021
DOI10.1007/s00498-010-0054-3zbMath1248.93125OpenAlexW2161294674MaRDI QIDQ661021
Dennis S. Bernstein, Sanjay P. Bhat
Publication date: 6 February 2012
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00498-010-0054-3
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (14)
Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems ⋮ Lyapunov theorems for stability and semistability of discrete-time stochastic systems ⋮ Lyapunov and converse Lyapunov theorems for stochastic semistability ⋮ Optimal control for pointwise asymptotic stability in a hybrid control system ⋮ \(\mathcal H_2\) optimal semistable control for linear dynamical systems: an LMI approach ⋮ Convergence in games with continua of equilibria ⋮ Convergence and stability analysis for iterative dynamics with application to compartmental networks: a trajectory distance based Lyapunov approach ⋮ Semistability theory for spatially distributed systems ⋮ Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria ⋮ Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno ⋮ Optimal semistable control for continuous-time linear systems ⋮ Optimal control for linear and nonlinear semistabilization ⋮ Optimal singular control for nonlinear semistabilisation ⋮ The role of systems biology, neuroscience, and thermodynamics in network control and learning
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some remarks on a conjecture in parameter adaptive control
- Continuous and discrete dynamics near manifolds of equilibria
- Stability theory and the existence of periodic solutions and almost periodic solutions
- Stability theory by Liapunov's direct method
- Non-identifier-based high-gain adaptive control
- Integral characterizations of uniform asymptotic and exponential stability with applications
- The existence and uniqueness of steady states for a class of chemical reaction networks
- On the stable equilibrium points of gradient systems
- Local semi-dynamical systems
- Semidefinite Lyapunov functions stability and stabilization
- Adaptive stabilization of linear systems with unknown high-frequency gains
- Singular Perturbation of Autonomous Linear Systems
- Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria
- Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
- An integral-invariance principle for nonlinear systems
- Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks
- Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
- Passivity as a Design Tool for Group Coordination
- Absolute Stability of Analytic Neural Networks: An Approach Based on Finite Trajectory Length
- Modeling and analysis of mass-action kinetics
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- Pointwise convergence of gradient‐like systems
- Convergence of the Iterates of Descent Methods for Analytic Cost Functions
- Convex Analysis
- Set-theoretic methods in control
- Set-valued analysis
- Proof of the gradient conjecture of R. Thom.
This page was built for publication: Arc-length-based Lyapunov tests for convergence and stability with applications to systems having a continuum of equilibria
