Control variations with an increasing number of switchings
HTML articles powered by AMS MathViewer
- by Matthias Kawski PDF
- Bull. Amer. Math. Soc. 18 (1988), 149-152
References
- Alberto Bressan, The generic local time-optimal stabilizing controls in dimension $3$, SIAM J. Control Optim. 24 (1986), no. 2, 177–190. MR 826511, DOI 10.1137/0324010 2. P. Brunovsky, Local controllability of odd systems, Banach Center Publ., vol. 1, PWN, Warsaw, 1974, pp. 39-45.
- H. Frankowska, Local controllability of control systems with feedback, J. Optim. Theory Appl. 60 (1989), no. 2, 277–296. MR 984985, DOI 10.1007/BF00940008
- H. Hermes, Controlled stability, Ann. Mat. Pura Appl. (4) 114 (1977), 103–119. MR 638354, DOI 10.1007/BF02413781 5. M. Kawski, Nilpotent Lie algebras of vectorfields and local controllability of nonlinear systems, Dissertation, Univ. of Colorado, Boulder, 1986.
- Arthur J. Krener, The high order maximal principle and its application to singular extremals, SIAM J. Control Optim. 15 (1977), no. 2, 256–293. MR 433288, DOI 10.1137/0315019
- Heinz M. Schättler, On the time-optimality of bang-bang trajectories in $\textbf {R}^3$, Bull. Amer. Math. Soc. (N.S.) 16 (1987), no. 1, 113–116. MR 866027, DOI 10.1090/S0273-0979-1987-15479-6
- Gianna Stefani, On the local controllability of a scalar-input control system, Theory and applications of nonlinear control systems (Stockholm, 1985) North-Holland, Amsterdam, 1986, pp. 167–179. MR 935375
- D. Stroock and S. R. S. Varadhan, On degenerate elliptic-parabolic operators of second order and their associated diffusions, Comm. Pure Appl. Math. 25 (1972), 651–713. MR 387812, DOI 10.1002/cpa.3160250603
- Héctor J. Sussmann, An extension of a theorem of Nagano on transitive Lie algebras, Proc. Amer. Math. Soc. 45 (1974), 349–356. MR 356116, DOI 10.1090/S0002-9939-1974-0356116-6
- Héctor J. Sussmann, A bang-bang theorem with bounds on the number of switchings, SIAM J. Control Optim. 17 (1979), no. 5, 629–651. MR 540843, DOI 10.1137/0317045
- H. J. Sussmann, A general theorem on local controllability, SIAM J. Control Optim. 25 (1987), no. 1, 158–194. MR 872457, DOI 10.1137/0325011
- Héctor J. Sussmann and Velimir Jurdjevic, Controllability of nonlinear systems, J. Differential Equations 12 (1972), 95–116. MR 338882, DOI 10.1016/0022-0396(72)90007-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 149-152
- MSC (1985): Primary 93B05; Secondary 49E30
- DOI: https://doi.org/10.1090/S0273-0979-1988-15630-3
- MathSciNet review: 929090