Simultaneous stabilizability of three linear systems is rationally undecidable

This publication has 9 references indexed in Scilit:

• Avoidance and intersection in the complex plane, a tool for simultaneous stabilization
  Published by Institute of Electrical and Electronics Engineers (IEEE) ,2002
• Simultaneous Stabilization of Three or More Plants: Conditions on the Positive Real Axis Do Not Suffice
  SIAM Journal on Control and Optimization, 1994
• The solution of a transcendental problem and its applications in simultaneous stabilization problems
  IEEE Transactions on Automatic Control, 1992
• An iterative design procedure for simultaneous stabilization of MIMO systems
  Automatica, 1988
• Transcendental and Interpolation Methods in Simultaneous Stabilization and Simultaneous Partial Pole Placement Problems
  SIAM Journal on Control and Optimization, 1986
• Some new results on the simultaneous stabilizability of a family of single input, single output systems
  Systems & Control Letters, 1985
• Algebraic design techniques for reliable stabilization
  IEEE Transactions on Automatic Control, 1982
• Fractional representation, algebraic geometry, and the simultaneous stabilization problem
  IEEE Transactions on Automatic Control, 1982
• Single-loop feedback-stabilization of linear multivariable dynamical plants
  Automatica, 1974