Symmetries and conserved quantities of stochastic dynamical control systems

Unal G., Sun J.

NONLINEAR DYNAMICS, cilt.36, sa.1, ss.107-122, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:nody.0000034650.53716.a9
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-122
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

A new definition is given for both exact and quasi symmetries of It (o) over cap and Stratonovich dynamical control systems. Determining systems of symmetries for these systems have been obtained and their relation is discussed. It is shown that conserved quantities can be found from both exact and quasi symmetries of stochastic dynamical control systems, which includes Hamiltonian control systems as a special case. Systems which can be controlled via conserved quantities have been investigated. Results have been applied to the control of an N-species stochastic Lotka-Volterra system.