A counterexample of a theorem by Tsolas et al. and an independent result by Zaborszky et al. (with reply) Academic Article uri icon


  • Recent results on the composition of the stability boundary claimed that it consisted of the stable manifolds of index 1 unstable equilibria and their closures. A counterexample shows the potential existence of additional structures within the boundary. This finding invalidates numerous theorems published in the literature. 1988 IEEE

published proceedings

  • IEEE Transactions on Automatic Control

author list (cited authors)

  • Zaborszky, J., Huang, G., Zheng, B., & Varaiya, P.

citation count

  • 21

complete list of authors

  • Zaborszky, J||Huang, G||Zheng, B||Varaiya, P

publication date

  • March 1988