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CSL
2004
Springer
13 years 7 months ago
Pfaffian Hybrid Systems
It is well known that in an o-minimal hybrid system the continuous and discrete components can be separated, and therefore the problem of finite bisimulation reduces to the same pr...
Margarita V. Korovina, Nicolai Vorobjov
DAGSTUHL
2006
13 years 5 months ago
Upper and Lower Bounds on Sizes of Finite Bisimulations of Pfaffian Dynamical Systems
In this paper we study a class of dynamical systems defined by Pfaffian maps. It is a sub-class of o-minimal dynamical systems which capture rich continuous dynamics and yet can be...
Margarita V. Korovina, Nicolai Vorobjov
ICRA
2010
IEEE
137views Robotics» more  ICRA 2010»
13 years 1 months ago
Dipole-like fields for stabilization of systems with Pfaffian constraints
This paper introduces a framework that guides the design of stabilizing feedback control laws for systems with Pfaffian constraints. A new class of N-dimensional vector fields, the...
Dimitra Panagou, Herbert G. Tanner, Kostas J. Kyri...
MST
2008
120views more  MST 2008»
13 years 3 months ago
Bounds on Sizes of Finite Bisimulations of Pfaffian Dynamical Systems
We study finite bisimulations of dynamical systems in Rn defined by Pfaffian maps. The pure existence of finite bisimulations for a more general class of o-minimal systems was show...
Margarita V. Korovina, Nicolai Vorobjov