Stability and stabilization of polynomial dynamical systems using Bernstein polynomials

DOI10.1145/2728606.2728639zbMath1364.93679OpenAlexW2086598807MaRDI QIDQ2988950

Mohamed Amin Ben Sassi, Sriram Sankaranarayanan

Publication date: 19 May 2017

Published in: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2728606.2728639

zbMATH Keywords

polynomial dynamicsBernstein polynomialsasymptotic stabilitystabilizing controllerspolynomial Lyapunov functionsconvex semidefinite programming (SDP)linear programming (LP) relaxations

Mathematics Subject Classification ID

Semidefinite programming (90C22) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Synthesis problems (93B50)

Related Items (5)

Synthesizing invariant barrier certificates via difference-of-convex programming ⋮ An iterative scheme of safe reinforcement learning for nonlinear systems via barrier certificate generation ⋮ Observer‐based adaptive controller design for chaos synchronization using Bernstein‐type operators ⋮ A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function ⋮ Encoding inductive invariants as barrier certificates: synthesis via difference-of-convex programming

Cites Work

• On Fixed Points of Strictly Causal Functions
• Requirements for hybrid cosimulation standards
• THEORY OF QUANTIZED SYSTEMS: DEVS SIMULATION OF PERCEIVING AGENTS
• Hybrid Systems: Computation and Control
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