Titlebook: Stabilization, Optimal and Robust Control; Theory and Applicati Aziz Belmiloudi Book 2008 Springer-Verlag London 2008 Control.Fluid Mechani

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Convexity and Topologyns play an important role in many fields of mathematics such as optimization, control theory, operational (or operations) research, geometry, differential equations, functional analysis ., as well as in applied sciences, ., in physics, biology, medicine, .Within this chapter we introduce some essent

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Lagrange Duality Theoryto be one of the most important tools in study of non-linear systems. Among the various critical point methods, minimax principles leading to the existence of saddle points have played an important role in mathematics and science, and together they play a central role for the notion of stability. Th

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Studied Systems and General Resultsems, which will be used frequently in later chapters..For the description of various function spaces including Sobolev spaces and different notations, the reader is referred to Chapter 3 for details..Our objective in this chapter is to recall the general framework and the basic results of existence

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Optimal Control Problems theory as simply as possible, then we present the theory for general linear evolutive problems and for some classes of non-linear evolutive problems. In each section, we study the existence, the uniqueness and the optimality conditions for the optimal solution. We develop, our study for different r

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Stabilization and Robust Control Problem investigation of the control, stability and adjoint control optimization of infinite-dimensional dissipative dynamical systems. The considered systems are derived from spatially and time-dependent partial differential equations associated with boundary-value problems. We recall that in our approach

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Heat Transfer Laws on Temperature Distribution in Biological Tissuesth directional blood flow and Robin boundary conditions. The model equation depends on the blood perfusion rate, the heat transfer parameter, the distributed energy source terms and the heat flux due to the evaporation, which affect the effects of thermal and physical properties on the transient tem