Sökning: "invariant set"
Visar resultat 1 - 5 av 98 avhandlingar innehållade orden invariant set.
1. Stable iterated function systems
Sammanfattning : The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). Earlier, hyperbolic IFSs with finitely many functions have been studied extensively. Also, hyperbolic IFSs with infinitely many functions have been studied. In this thesis, more general IFSs are studied. LÄS MER
2. Stochastic Invariance and Aperiodic Control for Uncertain Constrained Systems
Sammanfattning : Uncertainties and constraints are present in most control systems. For example, robot motion planning and building climate regulation can be modeled as uncertain constrained systems. In this thesis, we develop mathematical and computational tools to analyze and synthesize controllers for such systems. LÄS MER
3. Safe Autonomy under Uncertainty: Computation, Control, and Application
Sammanfattning : Safety is a primary requirement for many autonomous systems, such as automated vehicles and mobile robots. An open problem is how to assure safety, in the sense of avoiding unsafe subsets of the state space, for uncertain systems under complex tasks. LÄS MER
4. Control of Constrained Dynamical Systems with Performance Guarantees: With Application to Vehicle motion Control
Sammanfattning : In control engineering, models of the system are commonly used for controller design. A standard control design problem consists of steering the given system output (or states) towards a predefined reference. Such a problem can be solved by employing feedback control strategies. LÄS MER
5. Invariant Subspaces in Spaces of Analytic Functions
Sammanfattning : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. LÄS MER