scientific article

zbMath1389.49011MaRDI QIDQ2974104

Claudiu C. Remsing, Rory Biggs, Ross M. Adams

Publication date: 6 April 2017

Full work available at URL: http://www.ejpam.com/index.php/ejpam/article/view/1475

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lyapunov stabilityLie-Poisson structureelliptic functionleft-invariant control system(detached) feedback equivalence

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie algebras of Lie groups (22E60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

Stability and energy-Casimir mapping for integrable deformations of the Kermack-McKendrick system ⋮ On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control ⋮ Invariant Control Systems on Lie Groups ⋮ Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case ⋮ Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maxwell strata in the Euler elastic problem
• Control theory on Lie groups
• Stability of a bottom-heavy underwater vehicle
• Elliptic functions and applications
• Control theory from the geometric viewpoint.
• Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry
• Cost-extended control systems on Lie groups
• Asymptotic and Lyapunov stability of constrained and Poisson equilibria
• Control systems on Lie groups
• Nonlinear stability of fluid and plasma equilibria
• Transitivity of Families of Invariant Vector Fields on The Semidirect Products of Lie Groups
• Non-Euclidean Elastica
• System Theory on Group Manifolds and Coset Spaces

This page was built for publication: