A control problem for affine dynamical systems on a full-dimensional polytope
暂无分享,去创建一个
[1] Joseph O'Rourke,et al. Handbook of Discrete and Computational Geometry, Second Edition , 1997 .
[2] Eduardo D. Sontag,et al. Interconnected Automata and Linear Systems: A Theoretical Framework in Discrete-Time , 1996, Hybrid Systems.
[3] Maria Domenica Di Benedetto,et al. Control of switching systems under state and input constraints , 1999, 1999 European Control Conference (ECC).
[4] K. Brown,et al. Graduate Texts in Mathematics , 1982 .
[5] Eduardo Sontag. Remarks on piecewise-linear algebra , 1982, Pacific Journal of Mathematics.
[6] Nancy A. Lynch,et al. Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control , 2000 .
[7] Alberto Bemporad,et al. Control of systems integrating logic, dynamics, and constraints , 1999, Autom..
[8] Maria Domenica Di Benedetto,et al. Hybrid Systems: Computation and Control , 2001, Lecture Notes in Computer Science.
[9] Steven Fortune,et al. Voronoi Diagrams and Delaunay Triangulations , 2004, Handbook of Discrete and Computational Geometry, 2nd Ed..
[10] A. Bemporad,et al. Observability and controllability of piecewise affine and hybrid systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).
[11] Patrick Scott Mara,et al. Triangulations for the Cube , 1976, J. Comb. Theory, Ser. A.
[12] Doran Wilde,et al. A LIBRARY FOR DOING POLYHEDRAL OPERATIONS , 2000 .
[13] K. Fukuda. Frequently Asked Questions in Polyhedral Computation , 2000 .
[14] E. Hille,et al. Lectures on ordinary differential equations , 1968 .
[15] Jan H. van Schuppen,et al. Control of Piecewise-Linear Hybrid Systems on Simplices and Rectangles , 2001, HSCC.
[16] Nancy A. Lynch,et al. Hybrid Systems: Computation and Control , 2002, Lecture Notes in Computer Science.
[17] Richard W. Cottle,et al. Minimal triangulation of the 4-cube , 1982, Discret. Math..
[18] Franco Blanchini,et al. Set invariance in control , 1999, Autom..
[19] G. Ziegler. Lectures on Polytopes , 1994 .
[20] Eduardo Sontag. Nonlinear regulation: The piecewise linear approach , 1981 .
[21] G. Bitsoris,et al. Constrained regulation of linear continuous-time dynamical systems , 1989 .
[22] M. Cwikel,et al. Convergence of an algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states , 1985, 1985 24th IEEE Conference on Decision and Control.
[23] Olivier Bournez,et al. Approximate Reachability Analysis of Piecewise-Linear Dynamical Systems , 2000, HSCC.
[24] J. Hennet,et al. On invariant polyhedra of continuous-time linear systems , 1993, IEEE Trans. Autom. Control..
[25] J. H. Schuppen,et al. A controllability result for piecewise-linear hybrid systems , 2001, 2001 European Control Conference (ECC).
[26] Komei Fukuda,et al. Exact volume computation for polytopes: a practical study , 1996 .
[27] Jan H. van Schuppen,et al. A Sufficient Condition for Controllability of a Class of Hybrid Systems , 1998, HSCC.
[28] R. Tyrrell Rockafellar,et al. Convex Analysis , 1970, Princeton Landmarks in Mathematics and Physics.
[29] M. Cwikel,et al. Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states , 1984 .