Local stabilization for unstable bilinear systems with input saturation

DOI10.1007/S11071-012-0448-5zbMath1267.93144OpenAlexW2024426380MaRDI QIDQ354059

Zhumu Fu, Leipo Liu, Xiaona Song, Xiu-Shan Cai

Publication date: 17 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0448-5

zbMATH Keywords

bilinear systemslinear matrix inequalities (LMIs)input saturationlocal stabilization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Least squares and related methods for stochastic control systems (93E24) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Robust stabilization and \(l_2\)-gain control of uncertain discrete-time constrained piecewise-affine systems ⋮ A delay partitioning approach to output feedback control for uncertain discrete time-delay systems with actuator saturation

Cites Work

• Optimization and control of bilinear systems. Theory, algorithms, and applications
• An analysis and design method for linear systems subject to actuator saturation and disturbance
• Continuous stabilization controllers for singular bilinear systems: the state feedback case
• Continuous-time bilinear system identification
• Robust \(\mathcal H_{\infty}\) reduced order filtering for uncertain bilinear systems
• Linear Matrix Inequalities in System and Control Theory
• Exponential stabilization of a class of unstable bilinear systems
• Robust stabilization of a class of singularly perturbed discrete bilinear systems
• Global feedback stabilization of new class of bilinear systems

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