𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic methods in the optimal control of distributed systems

✍ Scribed by Jacques-Louis Lions

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
810 KB
Volume
14
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

Various problems associated with optimal control of distributed systems are simplified using asymptotic methods for analysis based on state equations, or the cost function, or both, and also on state equations defined in perturbed domains.

πŸ“œ SIMILAR VOLUMES

Globally optimal control of self-adjoint
Globally optimal control of self-adjoint distributed systems
✍ L. Meirovitch; L. M. Silverberg πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 999 KB

## Abstract The partial differential equations of motion for an uncontrolled distributed structure can be transformed into a set of independent modal equations in terms of natural co‐ordinates. It is common practice to design control forces that recouple the modal equations so that the natural co‐o

Optimal control of distributed-parameter
Optimal control of distributed-parameter systems with integral equation constraints
✍ Yen-Ping Shih πŸ“‚ Article πŸ“… 1969 πŸ› Elsevier Science 🌐 English βš– 719 KB

A necessary condltlon for the optlmal control of a class of mtegral equafion constramt systems 1s denved by use of vanational method wlth fimte perturbatlon of the control vanable It 1s shown that certam hnear partlal Qfferentlal equation systems wth performance index based on the output vmable of t

Frequency domain solution of the optimal
Frequency domain solution of the optimal control problem for linear distributed systems
✍ J.K.H. Knudsen; M. KΓΌmmel πŸ“‚ Article πŸ“… 1974 πŸ› Elsevier Science 🌐 English βš– 852 KB

This paper describes a numerical method for the spectrum factorization procedure. This numerical method enables the solution of the optimal control problem for linear distributed systems with quadratic performance indices. The numerical method is demonstrated on an optimal feed forward-feed back con

An optimal control problem for a class o
An optimal control problem for a class of distributed parameter systems
✍ D.J. Ball; J.R. Hewit πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 413 KB

The optimal control of a class of linear deterministic time-invariant multi-dimensional distributed systems is considered. The unconstrained optimal control problem is formulated as a quadratic minimisation in a real Hilbert space. A conjugate gradient minimisation technique is employed in its solut

Optimal control of production and market
Optimal control of production and marketing systems with distributed time lags
✍ Sung-Bin Choi; Hark Hwang πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 658 KB

This paper deals with the problem of production and advertising policy for a decaying item whose gradual loss of potential or utility is associated with the passage of time, such as grain, photographic film or electronic components. The delay effects of the advertisement on the sales rate are also c