Global Stability Analysis of Nonlinear Sampled-Data Systems Using Convex Methods
DOI10.1007/978-3-319-01695-5_16zbMath1275.93044arXiv1408.5155OpenAlexW1691871513MaRDI QIDQ2863195
Alexandre Seuret, Matthew M. Peet
Publication date: 21 November 2013
Published in: Delay Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.5155
Lyapunov functionstability conditionshybrid modelglobal stability analysisnonlinear sampled-data systemscontinuous-time plantsconvex methodstime-varying sampling period
Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Sampled-data control/observation systems (93C57) Control/observation systems governed by ordinary differential equations (93C15)
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- A novel stability analysis of linear systems under asynchronous samplings
- Asymptotic analysis of digital control systems
- Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities
- Robust sampled-data stabilization of linear systems: an input delay approach
- The \(K\)-moment problem for compact semi-algebraic sets
- Optimal sampled-data control systems
- Stability analysis of systems with aperiodic sample-and-hold devices
- On finite gain \(\mathcal L_p\) stability of nonlinear sampled-data systems
- Stability and stabilization of nonuniform sampling systems
- A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
- Positive Forms and Stability of Linear Time-Delay Systems
- CSDP, A C library for semidefinite programming
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
- Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays
- A Converse Sum of Squares Lyapunov Result With a Degree Bound
- Stability Analysis of Sampled-Data Systems Using Sum of Squares
- A Sum of Squares Approximation of Nonnegative Polynomials
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