Condition and algorithm for simultaneous stabilization of linear plants

DOI10.1016/S0005-1098(01)00080-2zbMath0990.93098OpenAlexW2037579711WikidataQ127185036 ScholiaQ127185036MaRDI QIDQ5947652

Yingmin Jia, Jürgen Ackermann

Publication date: 10 February 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00080-2

zbMATH Keywords

polynomial methodssimultaneous stabilizationstrong parity interlacing property

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05)

Related Items (3)

Simultaneous and strong simultaneous stabilisation of some classes of MIMO systems ⋮ Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions ⋮ Simultaneous Stabilization and Constant Reference Tracking of <scp>LTI</scp>, <scp>MIMO</scp> Systems

Cites Work

• Unnamed Item
• Unnamed Item
• A Kharitonov-like theorem for interval polynomial matrices
• Extreme point results for robust stability of interval plants: Beyond first order compensators
• Solution to the ``Champagne problem on the simultaneous stabilisation of three plants
• Simultaneous stabilization of linear systems
• Simultaneous stabilizability of three linear systems is rationally undecidable
• Single-loop feedback-stabilization of linear multivariable dynamical plants
• A survey of extreme point results for robustness of control systems
• An overview of extremal properties for robust control of interval plants
• Robust control. Systems with uncertain physical parameters. In co-operation with A. Bartlett, D. Kaesbauer, W. Sienel, R. Steinhauser
• Simultaneous stabilization and simultaneous pole-placement by nonswitching dynamic compensation
• Simultaneous stabilization of linear single-input/single-output plants
• A generalization of Kharitonov's theorem; Robust stability of interval plants
• Fractional representation, algebraic geometry, and the simultaneous stabilization problem
• Algebraic design techniques for reliable stabilization
• Extreme point results for robust stabilization of interval plants with first-order compensators
• The solution of a transcendental problem and its applications in simultaneous stabilization problems
• Simultaneous Stabilization of Three or More Plants: Conditions on the Positive Real Axis Do Not Suffice

This page was built for publication: Condition and algorithm for simultaneous stabilization of linear plants