Linear stabilizability of planar nonlinear systems

DOI10.1007/BF02551367zbMath0694.93082MaRDI QIDQ909626

Andrea Bacciotti, Paolo Boieri

Publication date: 1990

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

zbMATH Keywords

linearizationcenter manifold techniquesscalar-input two-dimensional nonlinear systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (10)

Input-output decoupling with stability for Hamiltonian systems ⋮ Planar nonlinear systems: Practical stabilization and Hermes controllability condition ⋮ Feedback stabilization of real analytic systems in the plane ⋮ A local stabilization theorem for interconnected systems ⋮ The potentially global stabilization property of certain planar systems ⋮ Linear feedback stabilization of nonlinear systems with an uncontrollable critical mode ⋮ Control of the Hopf Bifurcation by a Linear Feedback Control ⋮ Linear stabilization of nonlinear cascade systems ⋮ A characterization of single-input planar bilinear systems which admit a smooth stabilizer ⋮ Stabilization of nonlinear systems: A bilinear approach

Cites Work

• Unnamed Item
• Unnamed Item
• Local feedback stabilization and bifurcation control. II: Stationary bifurcation
• Stabilization of a class of nonlinear systems by a smooth feedback control
• Feedback stabilization of single-input nonlinear systems
• Perturbation methods, bifurcation theory and computer algebra
• Applications of centre manifold theory
• Subanalytic sets and feedback control
• Stabilizability of Finite- and Infinite-Dimensional Bilinear Systems
• Stabilization of nonlinear systems with uncontrollable linearization
• The Local Stabilizability Problem for Nonlinear Systems
• Stabilization of affine in control nonlinear systems

This page was built for publication: Linear stabilizability of planar nonlinear systems