L∞andL2semi-global stabilisation of continuous-time periodic linear systems with bounded controls
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Publication:2871752
DOI10.1080/00207179.2012.757654zbMath1278.93187OpenAlexW2162040672MaRDI QIDQ2871752
Bin Zhou, Ming-Zhe Hou, Guang-Ren Duan
Publication date: 9 January 2014
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207179.2012.757654
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (8)
On asymptotic stability of linear time-varying systems ⋮ On semi-global stabilization of linear periodic systems with control magnitude and energy saturations ⋮ Stability and stabilization of linear periodic systems: a commutator calculus approach ⋮ Global stabilization of periodic linear systems by bounded controls with applications to spacecraft magnetic attitude control ⋮ Output feedback stabilization of linear time‐varying systems with infinite distributed input delays ⋮ Pseudo-predictor feedback stabilization of linear systems with time-varying input delays ⋮ Stability and stabilization of periodic piecewise linear systems: a matrix polynomial approach ⋮ \(H_\infty\) control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function
Cites Work
- A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation
- Stability and stabilization of discrete-time periodic linear systems with actuator saturation
- The simple pendulum and the periodic LQG control problem
- Low gain feedback
- Semi-global stabilization of discrete-time systems with bounded inputs using a periodic controller
- Polynomial approach to the control of SISO periodic systems subject to input constraint.
- Linear periodic control systems: Controllability with restrained controls
- Parametric Pole Assignment and Robust Pole Assignment for Discrete-Time Linear Periodic Systems
- L2-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation
- H2-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation
- Saturated linear quadratic regulation of uncertain linear systems: Stability region estimation and controller design
- A less conservative stability test for second-order linear time-varying vector differential equations
- Classification and characteristics of Floquet factorisations in linear continuous-time periodic systems
- Finite-time stability of linear time-varying singular systems with impulsive effects
- Robust control of linear time-invariant plants using periodic compensation
- Time-varying Lyapunov functions for linear time-varying systems
- On solution, stability and transformation of linear time-varying systems
- The stability of linear time-varying systems
- Toward improvement of tracking performance nonlinear feedback for linear systems
- Optimal periodic control for spacecraft pointing and attitude determination
- A general result on the stabilization of linear systems using bounded controls
- Periodic Lyapunov equations: Some applications and new algorithms
- On global output feedback regulation of Euler-Lagrange systems with bounded inputs
- Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation
- Frequency domain design trade-offs for linear periodic feedback systems*
- Robust and minimum norm pole assignment with periodic state feedback
- Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach
- Semi-global stabilizability of linear null controllable systems with input nonlinearities
- Simple saturated designs for ANCBC systems and extension to feedforward nonlinear systems
- A Gramian-Based Controller for Linear Periodic Systems
- $L_{\infty}$ and $L_{2}$ Low-Gain Feedback: Their Properties, Characterizations and Applications in Constrained Control
- Periodic Lyapunov Equation Based Approaches to the Stabilization of Continuous-Time Periodic Linear Systems
- New Results in Linear System Stability
- Control systems with actuator saturation: analysis and design
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