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this Volume Is Dedicated To The Fundamentals Of Convex Functional Analysis. It Presents Those Aspects Of Functional Analysis That Are Extensively Used In Various Applications To Mechanics And Control Theory. The Purpose Of The Text Is Essentially Two-fold. On The One Hand, A Bare Minimum Of The Theory Required To Understand The Principles Of Functional, Convex And Set-valued Analysis Is Presented. Numerous Examples And Diagrams Provide As Intuitive An Explanation Of The Principles As Possible. On The Other Hand, The Volume Is Largely Self-contained. Those With A Background In Graduate Mathematics Will Find A Concise Summary Of All Main Definitions And Theorems.
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This Book Provides A Largely Self-contained Account Of The Main Results Of Convex Analysis And Optimization In Hilbert Space. A Concise Exposition Of Related Constructive Fixed Point Theory Is Presented, That Allows For A Wide Range Of Algorithms To Construct Solutions To Problems In Optimization, E
this Self-contained Monograph Describes Basic Set-theoretic Methods For Control And Provides A Discussion Of Their Links To Fundamental Problems In Lyapunov Stability Analysis And Stabilization, Optimal Control, Control Under Constraints, Persistent Disturbance Rejection, And Uncertain Systems Analy
The problem of time optimal control of linear discrete systems tith output constraints is formulated as an L-problem in the theory of moments. The solution to this 1atteT problem is well known and is obtained from a finite-dimensional minimization. This procedure allows us to handle constraints not