Stability Theory

  1. S. P. Bhat and D. S. Bernstein, “Geometric Homogeneity with Applications to Finite-Time Stability,” Mathematics of Control, Signals and Systems, Vol. 17, pp. 101-127, 2005. (abstract)
  2. S. P. Bhat and D. S. Bernstein, “Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria,” SIAM Journal of Control and Optimization, Vol. 42, No. 5, pp. 1745-1775,  2003. (abstract)
  3. V.-S. Chellaboina, S. P. Bhat and W. M. Haddad, “An Invariance Principle for Nonlinear Hybrid and Impulsive Dynamical Systems,” Nonlinear Analysis: Theory, Methods and Applications, Vol. 53, pp. 527-550, 2003. (abstract)
  4. S. P. Bhat, “A Nontangency-Based Sufficient Condition for Boundedness of Orbits,” IEEE Conference on Decision and Control, Maui, Hawaii, December 2003. (abstract)
  5. S. P. Bhat and D. S. Bernstein, “Arc-Length-Based Lyapunov Tests for Convergence and Stability  in Systems Having a Continuum of Equilibria,” Proceedings of the American Control Conference, Denver, CO, June 2003. (abstract) 
  6. S.P. Bhat and D.S. Bernstein, “A Topological Obstruction to Continuous Global Stabilization of Rotational Motion and the Unwinding Phenomenon,” Systems and Control Letters, Vol.39, pp. 63-70, 2000. (abstract)
  7. S.P. Bhat and D.S. Bernstein, “Finite-Time Stability of Continuous, Autonomous Systems,” SIAM Journal of Control and Optimization, Vol. 38, no. 3, pp. 751-766, 2000. (abstract)
  8. S.P. Bhat and D.S. Bernstein, “Lyapunov Analysis of Semistability,” Proceedings of the American Control Conference, San Diego, CA, June 1999, pp. 1608-1612. (abstract)
  9. S.P. Bhat and D.S. Bernstein, “Continuous, Finite-Time Stabilization of the Translational and Rotational Double Integrators,” IEEE Transactions on Automatic Control, Vol. 43, pp. 678-682, 1998. (abstract)
  10. S. P. Bhat and D. S. Bernstein, “Finite-Time Stability of Homogeneous Systems,” Proceedings of the American Control Conference, Albuquerque, NM, June 1997, pp. 2513-2514. (abstract)
  11. D.S. Bernstein and S.P. Bhat, “Lyapunov Stability, Semistability and Asymptotic Stability of Matrix Second-Order Systems,” ASME Journal of Vibrations and Acoustics, Special 50th Anniversary Design Issue, Vol. 117(B), pp. 145-153, 1995. (abstract)
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