Optimal control on infinite-dimensional continuous-time regular state signal systems
ZHANG Qian
LIU Liu
LU Yu-feng
Abstract：This paper considers the linear quadratic regulator (LQR) optimal control problem and Kalman filtering problem for a regular state signal (s/s) system.The solvability of the optimal control problems for the regular s/s system is equivalent to that for some regular i/s/o representation of the regular s/s system.The connection on optimal future costs between the regular s/s system and some regular i/s/o representation with a nonempty resolvent set is proposed.Two examples are given to illustrate the results.
Keywords：regular s/s systemregular i/s/o representationLQR optimal control problemKalman filtering problemgeneralized stable trajectory
Publication Date：2019-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1738-1744 )