Invariant Set
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Recent papers in Invariant Set
In this paper we describe several new types of invariant sets that appear in the Julia sets of the complex exponential functions Eλ(z) = λez where λ ∈ C. These invariant sets consist of points that share the same itinerary under iteration... more
A novel robust predictive controller for input-saturated LTV discrete-time systems with polytopic model uncertainties is presented. The solution is based on the minimization, at each time instant, of an upper-bound of the “worst-case”... more
We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a Hopf bifurcation is subjected to bounded noise then the... more
We combine ideas of Scott and Swarup on good position for almost invariant subsets of a group with ideas of Sageev on constructing cubings from such sets. We construct cubings which are more canonical than in Sageev's original... more
The problem of confining the trajectory of a linear discrete-time system in a given polyhedral domain is addressed through the concept of (A, B)-invariance. First, an explicit characterization of (A, B)-invariance of convex polyhedra is... more
We propose a general framework for investigating a large class of stabilization problems in Markovian quantum systems. Building on the notions of invariant and attractive quantum subsystem, we characterize attractive subspaces by... more
Let (U \subset {\mathbb R}^3) be an open set and (f:U \to f(U) \subset {\mathbb R}^3) be a homeomorphism. Let (p \in U) be a fixed point. It is known that, if (\{p\}) is not an isolated invariant set, the sequence of the fixed point... more
We study the Hausdorff dimensions of invariant sets for self-similar and self-affine iterated function systems in the Heisenberg group.
A comprehensive theory for linear state-space modeling of stationary-increments random processes is presented. The theory of (33),which deals with stationary processes and internal models,is completed and extended to describe general non-... more
Electronic throttle is a DC motor driven valve that regulates air inflow into the engine's combustion system. The goal of the throttle control system is twofold: to achieve fast and accurate valve plate angle reference tracking, and... more