Computation of Lyapunov functions for smooth nonlinear systems using convex optimization
From MaRDI portal
Publication:5925915
DOI10.1016/S0005-1098(00)00088-1zbMath0971.93069MaRDI QIDQ5925915
No author found.
Publication date: 4 November 2001
Published in: Automatica (Search for Journal in Brave)
convex optimizationlinear inequality constraintsLyapunov functionnonautonomous nonlinear systemsuniform exponential stability
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (21)
An LMI approach for H ∞ analysis and control of discrete-time piecewise affine systems ⋮ An Estimation Extension of Domain of Attraction for Second-Order Dynamic Systems ⋮ Computing continuous and piecewise affine Lyapunov functions for nonlinear systems ⋮ Analysis and design of quadratic parameter varying (QPV) control systems with polytopic attractive region ⋮ Exact asymptotic stability analysis and region-of-attraction estimation for nonlinear systems ⋮ Subgradient algorithm for computing contraction metrics for equilibria ⋮ Modified refinement algorithm to construct Lyapunov functions using meshless collocation ⋮ Computation and verification of contraction metrics for exponentially stable equilibria ⋮ Construction of Lyapunov functions for nonlinear planar systems by linear programming ⋮ On the stability analysis of nonlinear systems using polynomial Lyapunov functions ⋮ Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions ⋮ Stability regions for constrained nonlinear systems and their functional characterization via support-vector-machine learning ⋮ Revised CPA method to compute Lyapunov functions for nonlinear systems ⋮ Estimating the region of attraction for large-scale systems with uncertainties ⋮ Existence of piecewise affine Lyapunov functions in two dimensions ⋮ Optimization based on quasi-Monte Carlo sampling to design state estimators for non-linear systems ⋮ LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials ⋮ A general U-block model-based design procedure for nonlinear polynomial control systems ⋮ Analysis of discrete-time piecewise affine and hybrid systems ⋮ Local stability analysis and domain of attraction estimation for a class of uncertain nonlinear discrete-time systems ⋮ Review on computational methods for Lyapunov functions
Cites Work
- Unnamed Item
- Unnamed Item
- A criterion of absolute stability of nonlinear sampled-data control systems in the form of numerical procedures
- Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I
- Gradient method of constructing Lyapunov functions in problems of absolute stability
- A comparative study of several semi-infinite nonlinear programming algorithms
- Lyapunov functions for nonlinear discrete-time control systems
- Manifolds, tensor analysis, and applications.
- Optimization. Algorithms and consistent approximations
- Nonquadratic Lyapunov functions for robust control
- An approach to nonlinear programming
- Constructive stability and asymptotic stability of dynamical systems
- Computer generated Lyapunov functions for a class of nonlinear systems
- Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
- Linear Matrix Inequalities in System and Control Theory
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- A parametrization of piecewise linear Lyapunov functions via linear programming
- Affine parameter-dependent Lyapunov functions and real parametric uncertainty
- Induced L2-norm control for LPV systems with bounded parameter variation rates
This page was built for publication: Computation of Lyapunov functions for smooth nonlinear systems using convex optimization