Bounded G-theory with fibred control

On the LQG Theory with Bounded Control

We consider a stochastic optimal control problem in the whole space, where the corresponding HJB equation is degenerate, with a quadratic running cost and coefficients with linear growth. In this paper we provide a full mathematical details on the key estimate relating the asymptotic behavior of the solution as the space variable goes to infinite. Mathematics Subject Classification (2000). Prim...

Fibred Multilinks and Singularities F G

Milnor’s fibration theorem in [19, 20] states that if (R, 0) f → (R, 0) is the germ of a real analytic map with an isolated critical point at the origin, then for every sufficiently small sphere Sε = ∂Bε around 0 ∈ R n+k one has that the complement Sε \K of the link K = f(0) ∩ Sε fibres over the circle S . The proof of this result is by noticing first that for δ > 0 sufficiently small the tube ...

Structured Contexts with Fibred Semantics

Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps

A parabolic rational map of the Riemann sphere admits a nonatomic /¡-conformai measure on its Julia set where h = the HausdorfT dimension of the Julia set and satisfies 1/2 < h < 2 . With respect to this measure the rational map is conservative, exact and there is an equivalent cr-finite invariant measure. Finiteness of the measure is characterised. Central limit theorems are proved in the case...

Bounded Input Bounded Predefined Control Bounded Output

The paper is an attempt to generalize a methodology [1; 93] and [2, 3; 95], which is similar to the bounded-input bounded-output (BIBO) method currently widely used [4-9] for the system stability studies. The presented in [1, 2] methodology allows decomposition of input space into bounded subspaces and defining for each subspace its bounding surface. It also defines a corresponding predefined c...