Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems
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Publication:3577872
DOI10.1080/00207170903384321zbMath1209.93133OpenAlexW2017847577MaRDI QIDQ3577872
Hai Lin, Cheng Xiang, Zhi-hong Huang, Tong-Heng Lee
Publication date: 26 July 2010
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170903384321
Geometric methods (93B27) Adaptive or robust stabilization (93D21) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (11)
Stabilizing design for discrete-time reversible switched linear control systems: a deadbeat control approach ⋮ Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions ⋮ On Padé approximations, quadratic stability and discretization of switched linear systems ⋮ Necessary and sufficient conditions for regional stabilisability of second-order switched linear systems with a finite number of subsystems ⋮ Necessary and sufficient stability condition for second-order switched systems: a phase function approach ⋮ Region stability and stabilisation of switched linear systems with multiple equilibria ⋮ Sufficient and necessary conditions for the stability of second-order switched linear systems under arbitrary switching ⋮ Stabilisation of second-order LTI switched positive systems ⋮ On existence of stabilizing switching laws within a class of unstable linear systems ⋮ Stabilising switching law to minimise return ratio with two linear planar subsystems ⋮ Characterising the stabilisability for second-order linear switched systems
Cites Work
- Stability and controllability of planar, conewise linear systems
- Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
- Stability of switched systems: a Lie-algebraic condition
- Stability results for switched controller systems
- Stabilization of planar switched systems
- Stabilization for a class of second-order switched systems
- Adaptive control of discrete-time systems using multiple models
- Adaptive control using multiple models
- Quadratic stabilizability of switched linear systems with polytopic uncertainties
- Observer-based control of piecewise-affine systems
- Stability of Planar Switched Systems: The Linear Single Input Case
- Stabilization of second-order LTI switched systems
- Basic problems in stability and design of switched systems
- An LMI approach for H ∞ analysis and control of discrete-time piecewise affine systems
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
- Nonlinear norm-observability notions and stability of switched systems
- Stabilization of switched linear systems
- Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems
- Necessary and sufficient conditions for absolute stability: the case of second-order systems
- Supervisory control of families of linear set-point controllers - Part I. Exact matching
- Closed loop stabilization of planar bilinear switched systems
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