References

• 1. 1)
     • F.R. Gantmacher . (1959) , Theory of matrices.
  2. 2)
     • F.L. Bauer . Optimally scaled matrices. Nimer. Math. , 73 - 87
  3. 3)
     • Barrett, M.R.: `Conservatism with robustness tests for linear feedback control systems', Proceedings of IEEE conference on decision and control, December 1980, Albuquerque, New Mexico, USA.
  4. 4)
     • E.E. Osborne . On preconditioning of matrices. J. Assoc. Comput. Mach. , 338 - 345
  5. 5)
     • H.H. Rosenbrock , P.A. Cook . Stability and the eigenvalues of G(s). Int. J. Control , 99 - 104
  6. 6)
     • Barrett, M.F.: `Conservatism with robustness tests for linear feedback control systems', June 1980, Ph.D. thesis, University of Minnesota, USA, report 80SRC35, Honeywell Systems Research Center, Minneapolis, Minnesota, USA.
  7. 7)
     • M.G. Safonov , M. Athans . A multiloop generalisation of the circle criterion for stability margin analysis. IEEE Trans. , 415 - 422
  8. 8)
     • M.G. Safonou , M. Athans . Gain and phase margin for multi loop LQG regulators. IEEE Trans. , 173 - 178
  9. 9)
     • G. Stein , N.R. Sandell . (1979) , Classical and modern methods for control system design.
  10. 10)
      • F.M. Callier , W.S. Chan , C.A. Desoer . Input-output stability of interconnected systems using decompositios: An improved formultion. IEEE Trans. , 150 - 163
  11. 11)
      • A.J. Mees . Achieving diagonal dominance. Syst. Control Lett. , 155 - 158
  12. 12)
      • J. Wilkinson . (1965) , Algebraic eigenvalue problem.
  13. 13)
      • J. Stoer , C. Witzgall . Transformations by diagonal matrices in a normed space. Nimer. Math. , 458 - 471
  14. 14)
      • N.R. Sandell . Robust stability of systems with application to singular perturbations. Automatica , 467 - 470
  15. 15)
      • M.G. Safonov , A.J. Laub , G.L. Hartmann . Feedback properties of multivariable systems: The role and use of the return difference matrix. IEEE Trans. , 75 - 92
  16. 16)
      • N.A. Lehtomaki , N.R. Sandell , M. Athans . Robustness results in linear-quadratic Gaussian based multivariable control designs. IEEE Trans. , 75 - 92
  17. 17)
      • Doyle, J.C.: `Robustness of multiloop linear feedback systems', Proceedings of IEEE conference on decision and control, december 1979, Fort Lauderdale, Florida, USA.
  18. 18)
      • M. Araki . Input-output stability of composite feedback systems. IEEE Trans. , 254 - 259
  19. 19)
      • Safonov, M.G., Athans, M.: `A multiloop generalisation of the circle stability criterion', Proceedings of twelfth annual Asilomar conference on circuits, systems and computers, November 1978, California, USA, Pacific Grove.
  20. 20)
      • I. Postlethwaite , J.M. Edmunds , A.G.J. MacFarlane . Principal gains and phases in the analysis of linear multivariable feedback systems. IEEE Trans. , 32 - 46
  21. 21)
      • J.C. Doyle , G. Stein . Multivariable feedback system desigh Concepts for a classical modern synthesis. IEEE Trans. , 4 - 16
  22. 22)
      • Safonov, M.G.: `Robustness and stability aspects of stochastic multivariable feedback system design', August 1977, Ph.D. thesis, MIT, Cambridge, Massachusetts, USA, report ESL-R-763, Electronics Systems Laboratory, MIT, Cambridge, Massachusetts, USA, Sept. 1977.