Approximate reachability analysis of piecewise-linear dynamical systems
International workshop on hybrid systems: Computation and control, 2000•Springer
In this paper we describe an experimental system called d/dt for approximating reachable
states for hybrid systems whose continuous dynamics is defined by linear differential
equations. We use an approximation algorithm whose accumulation of errors during the
continuous evolution is much smaller than in previously-used methods. The d/dt system can,
so far, treat non-trivial continuous systems, hybrid systems, convex differential inclusions
and controller synthesis problems.
states for hybrid systems whose continuous dynamics is defined by linear differential
equations. We use an approximation algorithm whose accumulation of errors during the
continuous evolution is much smaller than in previously-used methods. The d/dt system can,
so far, treat non-trivial continuous systems, hybrid systems, convex differential inclusions
and controller synthesis problems.
Abstract
In this paper we describe an experimental system called d/dt for approximating reachable states for hybrid systems whose continuous dynamics is defined by linear differential equations. We use an approximation algorithm whose accumulation of errors during the continuous evolution is much smaller than in previously-used methods. The d/dt system can, so far, treat non-trivial continuous systems, hybrid systems, convex differential inclusions and controller synthesis problems.
Springer