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A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
About the trajectory synthesis to go back to nominal mode for a class of hybrid systems
hybrid automata reachability linear vector fields state-space
2011/9/19
Abstract: This paper presents basis parts of a new method to synthesize a return trajectory for a reactive process from a default mode to one of the nominal modes. The process is modeled with a hybrid...
State Space Consistency and Differentiability Conditions for a Class of Causal Dynamical Input-Output Systems
State Space Consistency Differentiability Conditions Class of Causal Dynamical Input-Output Systems
2010/12/14
A causal input-output system may be described by a function space for inputs, a function space for outputs, and a causal operator mapping the input space into the output space. A particular representa...