Stability Domains for Quadratic-Bilinear Reduced-Order Models
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Publication:5004530
DOI10.1137/20M1364849zbMath1472.34105arXiv2009.02769MaRDI QIDQ5004530
Publication date: 2 August 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02769
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20) Approximation methods and numerical treatment of dynamical systems (37M99)
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Cites Work
- Advances in computational Lyapunov analysis using sum-of-squares programming
- Reduced order methods for modeling and computational reduction
- Domain of attraction. Analysis and control via SOS programming.
- Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions
- Estimating the domain of attraction via union of continuous families of Lyapunov estimates
- Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
- On global stability of quadratic state feedback controlled linear systems
- Arc length based maximal Lyapunov functions and domains of attraction estimation for polynomial nonlinear systems
- Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms
- Lift \& learn: physics-informed machine learning for large-scale nonlinear dynamical systems
- A Taylor series-based continuation method for solutions of dynamical systems
- Data-driven operator inference for nonintrusive projection-based model reduction
- Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- A new set of invariants for linear systems--Application to reduced order compensator design
- Data‐driven model order reduction of quadratic‐bilinear systems
- Universal formats for nonlinear ordinary differential systems
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- An analytical method of estimating the domain of attraction for polynomial differential equations
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- $\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
- Model Reduction and Approximation
- Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
- Two-Sided Projection Methods for Nonlinear Model Order Reduction
- On the stability domain estimation via a quadratic Lyapunov function: convexity and optimality properties for polynomial systems
- Approximation of Large-Scale Dynamical Systems
