Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2015, Vol 35, Issue 1
Abstract
In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control law, an operator valued function, that minimizes the maximum risk. We present a result on the existence of an optimal (output feedback) operator valued function in the presence of uncertainty in the system as well as measurement. We also consider uncertain stochastic systems and present similar results on the question of existence of optimal feedback laws.
Authors and Affiliations
NasirUddin Ahmed
Keywords
Related Articles
- EP ID EP468125
- DOI 10.7151/dmdico.1166
- Views 48
- Downloads 0
On Schur-Cohn Stability of a Product of Operators in a Hilbert Space
A linear operator is said to be a Schur-Cohn stable one if its spectral radius is less than one. We consider the following problem: let A and B be bounded linear operators in a Hilbert space, and A be Schur-Cohn stable....
Topological properties of some spaces of continuous operators
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X,E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study topological properties of...
Random integral guiding functions with application to random differential complementarity systems
By applying the random topological degree we develop the methods of random smooth and nonsmooth integral guiding functions and use them for the study of random differential inclusions in finite dimensional spaces. Some e...
Necessary conditions of optimality for a class of stochastic differential equations on UMD Banach spaces
In this paper we consider stochastic evolution equations on UMD-Banach spaces. In a recent paper we proved existence of optimal controls. Here in this paper we develop necessary conditions of optimality whereby one can...
Upper and Lower Solutions Method for Partial Hadamard Fractional Integral Equations and Inclusions
In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions f...