On stability cones for quadratic systems of differential equations

DOI10.1007/S10883-005-6583-2zbMath1085.93003OpenAlexW1990571402MaRDI QIDQ814966

Vasiliy Ye. Belozyorov

Publication date: 8 February 2006

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-005-6583-2

zbMATH Keywords

conditional stabilitydiscontinuous feedbackbilinear control systemdomain of unlocal stabilitysystem of quadratic ordinary differential equations

Mathematics Subject Classification ID

Controllability (93B05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Global stability of solutions to ordinary differential equations (34D23)

Related Items (9)

Optimization of bilinear control systems subjected to exogenous disturbances. III: Robust formulations ⋮ Quadratic stabilization of bilinear control systems ⋮ Quadratic model of inter-population interaction: investigation of stability areas ⋮ Quadratic stabilization of bilinear systems: linear dynamical output feedback ⋮ Transverse function method in stabilization problems for bilinear systems ⋮ Asymptotic stabilization of a class of bilinear systems by a variable structure feedback ⋮ Quadratic stabilization of discrete-time bilinear systems ⋮ Optimization of bilinear control systems subjected to exogenous disturbances. II: Design ⋮ Optimization of bilinear control systems subjected to exogenous disturbances. I: Analysis

Cites Work

• On invariant orthants of bilinear systems
• Feedback Stabilization of Bilinear Control Systems
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