Search
Search Results
-
Deterministic Control Theory
In this chapter we focus our attention on the open loop control of deterministic problems. We will see that the language of deterministic control...
-
Optimal Control of Stochastic Processes
Many control problems appearing for complex systems are subject to imperfectly known disturbances. As we have learned in the previous chapter, these...
-
Optimization Problems
Several problems, for example Pontryagin’s maximum principle or the minimax problems of game theoretical approaches, require the determination of an...
-
Chaos Control
In the previous chapters we have discussed the control theory from a mechanical and field theoretical point of view. This control theory is, of...
-
Game Theory
All systems analyzed up to now were more or less predictable. That means, we had some information about the initial state and the dynamics of the...
-
Control of Fields
The theoretical representation of classical mechanics and field theory is very similar in some ways. This also applies to the axiomatic structure. It...
-
Nonequilibrium Statistical Physics
Although most many-body systems are beyond the technical possibilities of the mathematical calculus of mechanics, we are able to calculate the...
-
Introduction
Control theory plays an important role in several .elds of economics, technological sciences, and mathematics. On the other hand, control theory is...
-
Filters and Predictors
Suppose we have a system under control, described by dynamical equations of motion for the N-dimensional state vector X(t), and we have obtained an...
-
Linear Quadratic Problems
Suppose we have a deterministic system under control, described by dynamical equations of motion for an N-dimensional state vector X(t). Usually,...
-
A Liouville theorem for elliptic equations with a potential on infinite graphs
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable...
-
Well-posedness for Hamilton–Jacobi equations on the Wasserstein space on graphs
In this manuscript, given a metric tensor on the probability simplex, we define differential operators on the Wasserstein space of probability...
-
Palais–Smale sequences for the prescribed Ricci curvature functional
We obtain a complete description of divergent Palais–Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As...
-
-
On the optimality and decay of p-Hardy weights on graphs
We construct optimal Hardy weights to subcritical energy functionals h associated with quasilinear Schrödinger operators on infinite graphs. Here,...
-
-
Second-order optimality conditions for set-valued optimization problems under the set criterion
This paper investigates second-order optimality conditions for general constrained set-valued optimization problems in normed vector spaces under the...
-
Convex Predictor–Nonconvex Corrector Optimization Strategy with Application to Signal Decomposition
Many tasks in real life scenarios can be naturally formulated as nonconvex optimization problems. Unfortunately, to date, the iterative numerical...
