Design of linear feedback laws for bilinear systems

DOI10.1080/00207178008961039zbMath0439.93043OpenAlexW2149804959MaRDI QIDQ3882297

E. J. L. Noldus, I. A. Derese

Publication date: 1980

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178008961039

zbMATH Keywords

bilinear systemsRiccati equationLiapunov method

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Synthesis problems (93B50)

Related Items (18)

A Riccati equation approach to the stabilization of uncertain linear systems ⋮ Non-linear control design and robustness of discrete-time bilinear systems ⋮ Robust and reliable \(H_ \infty\) control for linear systems with parameter uncertainty and actuator failure ⋮ Geometrical and topological methods in optimal control theory ⋮ Design of a non-linear model matching controller ⋮ Stabilization of a class of stochastic nonlinear systems using a bang‐bang controller ⋮ Robust stability of discrete bilinear uncertain time-delay systems ⋮ Feedback of SISO bilinear systems ⋮ Guaranteed cost control for bilinear systems by static output feedback ⋮ A bilinear fault detection observer and its application to a hydraulic drive system ⋮ Optimal stabilizing controllers for bilinear systems ⋮ Singular trajectory in the problem of simple pursuit on a manifold ⋮ Robust linear quadratic optimal control for systems with linear uncertainties ⋮ Characterization of equilibrium sets for bilinear systems with feedback control ⋮ Adaptive observers for time-delay nonlinear systems in triangular form ⋮ Optimization of bilinear control systems ⋮ Stabilization of a class of distributional convolution equations ⋮ Comment on ‘Robust linear quadratic optimal control for systems with linear uncertainties’

Cites Work

• Iterative techniques for Riccati game equations
• Bilinear control processes. With applications to engineering, ecology, and medicine
• Decentralized stabilization via game theoretic methods
• On the stabilization of bilinear systems via hyperstability
• Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity
• Reachable zones for equicontinuous bilinear control processes†

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