Constrained regulation of linear continuous-time dynamical systems
Systems & Control Letters
Interconnected automata and linear systems: a theoretical framework in discrete-time
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
Studies in hybrid systems: modeling, analysis, and control
Studies in hybrid systems: modeling, analysis, and control
Subdivisions and triangulations of polytopes
Handbook of discrete and computational geometry
Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
A Sufficient Condition for Controllability of a Class of Hybrid Systems
HSCC '98 Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
Subanalytic Stratifications and Bisimulations
HSCC '98 Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
Approximate Reachability Analysis of Piecewise-Linear Dynamical Systems
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
A control problem for affine dynamical systems on a full-dimensional simplex
A control problem for affine dynamical systems on a full-dimensional simplex
Control for a class of hybrid systems
Control for a class of hybrid systems
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Reach Control on Simplices by Continuous State Feedback
SIAM Journal on Control and Optimization
Integrating planning and control for single-bodied wheeled mobile robots
Autonomous Robots
Brief paper: On a reachability problem for affine hypersurface systems on polytopes
Automatica (Journal of IFAC)
Necessary and sufficient conditions for reachability on a simplex
Automatica (Journal of IFAC)
Brief paper: Controller synthesis for safety and reachability via approximate bisimulation
Automatica (Journal of IFAC)
A control problem for affine dynamical systems on a full-dimensional polytope
Automatica (Journal of IFAC)
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A necessary and sufficient condition for the reachability of a piecewise-linear hybrid system is formulated in terms of reachability of a finite-state discrete-event system and of a finite family of affine systems on a polyhedral set. As a subproblem, the reachability of an affine system on a polytope is considered, with the control objective of reaching a particular facet of the polytope. If the polytope is a simplex, necessary and sufficient conditions for the solvability of this problem by affine state feedback are described. If the polytope is a multi-dimensional rectangle, then a solution is obtained using continuous piecewise-affine state feedback.