Další formáty:
BibTeX
LaTeX
RIS
@article{488397, author = {Hilscher, Roman and Zeidan, Vera}, article_location = {USA}, article_number = {1}, keywords = {symplectic difference system; discrete quadratic functional; variable stepsize; linear Hamiltonian difference system; conjugate interval; conjoined basis; Riccati difference equation; variable state endpoints}, language = {eng}, issn = {0024-3795}, journal = {Linear Algebra and its Applications}, title = {Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals}, volume = {367}, year = {2003} }
TY - JOUR ID - 488397 AU - Hilscher, Roman - Zeidan, Vera PY - 2003 TI - Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals JF - Linear Algebra and its Applications VL - 367 IS - 1 SP - 67-104 EP - 67-104 PB - Elsevier Science SN - 00243795 KW - symplectic difference system KW - discrete quadratic functional KW - variable stepsize KW - linear Hamiltonian difference system KW - conjugate interval KW - conjoined basis KW - Riccati difference equation KW - variable state endpoints N2 - Discrete quadratic functionals with variable endpoints for variable stepsize symplectic difference systems are considered. A comprehensive study is presented for characterizing the positivity of such functionals in terms of conjugate intervals, conjoined bases, and implicit and explicit Riccati equations with various forms of boundary conditions. Moreover, necessary conditions for the nonnegativity of these functionals are obtained in terms of the above notions. Furthermore, we show that a variable stepsize discretization of a continuous-time nonlinear control problem leads to a discrete linear quadratic problem and a Hamiltonian difference system, which are special cases of their symplectic counterparts. ER -
HILSCHER, Roman a Vera ZEIDAN. Symplectic difference systems: variable stepsize discretization and discrete quadratic functionals. \textit{Linear Algebra and its Applications}. USA: Elsevier Science, 2003, roč.~367, č.~1, s.~67-104. ISSN~0024-3795.
|