Stability Theory
- 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)
- 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)
- 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)
- S. P. Bhat, “A
Nontangency-Based Sufficient Condition for Boundedness of Orbits,” IEEE
Conference on Decision and Control, Maui, Hawaii, December 2003. (abstract)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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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