Abstract: A large class of optimum control problems can be formulated as the variational problem of minimizing a known functional subject to isoperimetric and nonholonomic constraints. The (vector) Euler ...

Abstract: A special-purpose analog computer which can be used as the optimum controller for linear processes with energy-limited control inputs is described. The computer may be used to force the process ...

Abstract: A technique of quasi-optimum control, developed by the author in 1966, has as its goal to permit one to use the apparatus of optimum control theory without having to solve the two-point ...

Abstract: Of interest are the limiting forms of the optimum stochastic regulator which minimize the steady-state expectation, Es {x′ Qx+u′ Ru }, for the linear process, ẋ=Ax+Bu+Gv , given noisy observations ...

Abstract: The continuous-time Kalman filtering problem over a finite time interval can be made equivalent to a discrete-time filtering problem. The matrices in the latter are related to the submatrices ...

Abstract: The optimal control as a function of the instantaneous state, i.e., the optimal “feedback” or “closed-loop” control, is derived for the controlled second-order linear process with constant ...