Simultaneous stabilizability of three linear systems is rationally undecidable
From MaRDI portal
Publication:1312294
DOI10.1007/BF01211744zbMath0792.93109MaRDI QIDQ1312294
Blondel, Vincent D., Michel Gevers
Publication date: 21 July 1994
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Stabilization of systems by feedback (93D15) Complexity and performance of numerical algorithms (65Y20)
Related Items
An observer based switching control strategy for the stabilization of uncertain multi-input–multi-output plants, Lower bounds on complexity of Lyapunov functions for switched linear systems, Some open problems on simultaneous stabilization of linear systems, Sufficient conditions for simultaneous stabilization of three linear systems within the framework of nest algebras, Simultaneous LQ control of a set of LTI systems using constrained generalized sampled-data hold functions, Multi-layer switching control using generalized sampled-data hold functions, Robust output tracking with structured perturbations: a multiple model control based approach, Simultaneous stabilization problem in a behavioral framework, Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras, A constructive algorithm for a controller simultaneously stabilizing a family of plants, Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method, Simultaneous stabilization of arbitrary-order linear objects by a controller with a given structure, Stabilization of polytopes of plants by their vertices, Solution to the generalized champagne problem on simultaneous stabilization of linear systems, Global optimization in stabilizing controller design, Simultaneous stabilization of linear plants by a low order controller, Condition and algorithm for simultaneous stabilization of linear plants, Simulation study of territory size distributions in subterranean termites, Performance control for interconnection of identical systems: Application to PLL network design, On some approaches to the simultaneous stabilization of linear plants by a controller of a given structure, A remark on the simultaneous \(\alpha \)-stabilization of linear plants, Algorithms for constructing controllers simultaneously stabilizing second-order linear plants, Simultaneous stabilization of polynomial nonlinear systems via density functions, Nonsmooth Optimization Method for H∞ Output Feedback Control, Solution to the ``Champagne problem on the simultaneous stabilisation of three plants, A computational method for determining strong stabilizability of \(n\)-D systems, Sharp distortion theorems for rational functions without poles or zeros in simply connected domains, Some applications of randomized algorithms for control system design, Rank-one LMI approach to simultaneous stabilization of linear systems.
Cites Work
- Some new results on the simultaneous stabilizability of a family of single input, single output systems
- Single-loop feedback-stabilization of linear multivariable dynamical plants
- Transcendental and Interpolation Methods in Simultaneous Stabilization and Simultaneous Partial Pole Placement Problems
- Fractional representation, algebraic geometry, and the simultaneous stabilization problem
- Algebraic design techniques for reliable stabilization
- Simultaneous Stabilization of Three or More Plants: Conditions on the Positive Real Axis Do Not Suffice
- An iterative design procedure for simultaneous stabilization of MIMO systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item