SIAM Journal on Control, Volume 1; Volume 1Society for Industrial and Applied Mathematics, 1962 - Automatic control |
Contents
1963 NUMBER | 3 |
A sufficient condition in the theory of optimal control E B Lee | 241 |
On the existence of optimal feedback controls T F Bridgland Jr | 261 |
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absolutely continuous assume asymptotically stable bang-bang bang-bang control bounded calculus of variations computation consider constant constraints continuous function control function control system controllable and observable converges convex convex function convex set coordinates curves defined denote determine differential equations exists F(xo finite follows given H₁ Hence Hilbert space implies inequality initial condition inner product input integral interval J. P. LASALLE kernel Hilbert space Lemma Liapunov's linear dynamical system Lyapunov functions Math method minimizing minimum effort control nonlinear obtain optimal control optimal control problem optimum parameters partial differential equation perturbations positive definite Proof R. E. KALMAN reproducing kernel Hilbert satisfies scalar function sequence SIAM solution stability t₁ terminal Theorem tion trajectory University values variables x(to zero δα дх