Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems

DOI10.1134/S0005117906080029zbMath1194.34108MaRDI QIDQ885728

V. N. Zhermolenko

Publication date: 14 June 2007

Published in: Automation and Remote Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Controllability (93B05) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30)

Related Items (1)

The periodic solution of two-dimensional linear nonstationary systems and estimation of the attraction domain boundary in the problem of control of a wheeled robot

Cites Work

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• Absolute instability of nonlinear control systems. I: General frequency criteria
• Antiperiodic motions and an algebraic criterion for the absolute stability of nonlinear time-varying systems in the three-dimensional case
• Trajectory funnels of two-dimensional bilinear control systems
• Phase portraits of two-dimensional bilinear control systems

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