1 |
E. D. Sontag and H. J. Sussmann, Nonsmooth control Lyapunov functions, Proc. IEEE Conf. Decision and Control, New Orleans, Dec. 1995, IEEE Publications, 2799-2805, 1995.
|
2 |
A. A. Agrachev and D. Liberzon, Lie-algebraic stability criteria for switched systems, SIAM J. Control Optim. 40 (2001), no. 1, 253-269.
DOI
ScienceOn
|
3 |
P. J. Antsaklis, J. A. Stiver, M. D. Lemmon et al., Hybrid Systems, Vol. 736 of Lecture Notes in Computer Science, 366-392, Heidelberg, Springer, 1993.
|
4 |
J. P. Aubin, Viability Theory, Birkhauser Boston, Inc., Boston, MA, 1991.
|
5 |
J. P. Aubin and A. Cellina, Differential Inclusions, Springer-Verlag, Berlin, 1984.
|
6 |
J. P. Aubin and H. Frankowska, Set-Valued Analysis, Springer-Verlag, Birkhauser Boston Basel Berlin, 1990.
|
7 |
F. H. Clarke, Y. S. Ledyaev, and R. J. Stern, Asymptotic stability and smooth Lyapunov functions, J. Differential Equations 149 (1998), no. 1, 69-114.
DOI
ScienceOn
|
8 |
R. Gilmore, Lie Groups, Lie Algebras and Some of Their Applications, John Wiley, New York, 1994.
|
9 |
Y. S. Ledyaev and E. D. Sontag, A Lyapunov characterization of robust stabilization, Nonlinear Anal. 37 (1999), no. 7, 813-840.
DOI
ScienceOn
|
10 |
A. M. Lyapunov, The general problem of the stability of motion, Math. Soc. Kharkov,1892 (Russian); English Translation: Internat. J. Control 55 (1992), 531-773.
|
11 |
P. J. Olver, Applications of Lie Groups to Differential Equations, 2nd ed. New York, Springer-Verlag, 1993.
|
12 |
E. D. Sontag, A Lyapunov-like characterization of asymptotic controllability, SIAM J. Control Optim. 21 (1983), no. 3, 462-471.
DOI
ScienceOn
|