Petrov Invariants for 1-D Control Hamiltonian Systems
作者: Alexei G. Kushner Valentin V. Lychagin
刊名: Global and Stochastic Analysis, 2015, Vol.2 (1)
来源数据库: Mind Reader Publications
关键词: control Hamiltonian systemsdi®erential invariantsLie pseudogroupssymplectic feedback transformationPoisson struc- turesPetrov invariant.
原始语种摘要: In this paper we consider the action of symplectic feedback trans- formations on 1-D control Hamiltonian systems. We study di®erential invariants of the pseudogroup of feedback symplectic transformations, which we call Petrov invariants, and show that the algebra of invari- ants possesses a natural Poisson structure and central derivations. This structure allows us to classify regular 1-D control Hamiltonian systems.
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  • Hamiltonian 哈密(尔)顿
  • symplectic 耦对
  • algebra 代数学
  • control 控制
  • consider 仔细考虑
  • Control 控制
  • Poisson 泊松
  • regular 均匀的
  • feedback 反馈
  • paper