Search results
Results from the WOW.Com Content Network
Calculus of variations is concerned with finding the best way to achieve some goal, such as finding a surface whose boundary is a specific curve, but with the least possible area. Optimal control theory is a generalization of the calculus of variations which introduces control policies.
Memory modules. There are two kinds of memory modules in ACT-R: Declarative memory, consisting of facts such as Washington, D.C. is the capital of United States, France is a country in Europe, or 2+3=5; Procedural memory, made of productions. Productions represent knowledge about how we do things: for instance, knowledge about how to type the ...
A region, also called a zone, arena, area, or memory context, is a collection of allocated objects that can be efficiently reallocated or deallocated all at once. Memory allocators using region-based managements are often called area allocators , and when they work by only "bumping" a single pointer, as bump allocators .
The optimal control can be derived using Pontryagin's maximum principle (a necessary condition also known as Pontryagin's minimum principle or simply Pontryagin's principle), [8] or by solving the Hamilton–Jacobi–Bellman equation (a sufficient condition). We begin with a simple example. Consider a car traveling in a straight line on a hilly ...
where y is an n × 1 vector of observable state variables, u is a k × 1 vector of control variables, A t is the time t realization of the stochastic n × n state transition matrix, B t is the time t realization of the stochastic n × k matrix of control multipliers, and Q (n × n) and R (k × k) are known symmetric positive definite cost matrices.
An emerging area of robust control from application point of view is sliding mode control (SMC), which is a variation of variable structure control (VSC). The robustness properties of SMC with respect to matched uncertainty as well as the simplicity in design attracted a variety of applications.
RELATED: The best moments from President Obama's DNC speech. The best moments from President Obama's DNC speech. Show comments. Advertisement. Advertisement. In Other News. Entertainment.
Inspired by—but distinct from—the Hamiltonian of classical mechanics, the Hamiltonian of optimal control theory was developed by Lev Pontryagin as part of his maximum principle. [2] Pontryagin proved that a necessary condition for solving the optimal control problem is that the control should be chosen so as to optimize the Hamiltonian. [3]