Trajectory funnels of two-dimensional bilinear control systems

DOI10.1134/S1064230706020031zbMath1260.93043OpenAlexW2034350623MaRDI QIDQ1946382

V. N. Zhermolenko

Publication date: 12 April 2013

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230706020031

Mathematics Subject Classification ID

Geometric methods (93B27) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Bang bang time-optimal control for some two-dimensional bilinear controlled plants ⋮ Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems ⋮ Phase portraits of two-dimensional bilinear control systems ⋮ Criteria of robust stability for time-varying 2D Wang–Mitchel differential systems: integral funnel method ⋮ Maximum deviation of oscillating system of the second order with external and parametric disturbances

Cites Work

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• Singular sets on phase portraits of dynamic control systems. I
• Geometrical method of investigating the controllability of second-order bilinear systems
• Control processes described by equations with incompletely determined functional parameter
• Robust stabilization of the parametrically perturbed system
• Singular sets and dynamic properties of bilinear control systems
• Oscillatority of two-dimensional bilinear systems

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