Convex alternating projection algorithms (CAP) can be applied to solve multiple objective and hierarchical optimization problems in the area of control systems design involving both the ℋ2 and the ℋ∞ norms. The paper presents an application of a CAP algorithm for solving a simple problem in this area. This relies on the solution of an extremum problem in Hilbert space used to calculate a required projection onto a closed convex set. © The author 2012
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
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International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
This note discusses the concepts of convex control systems and convex optimal control problems. We s...
Most control problems of practical interest have several performance and robustness requirements. A ...
The performance of linear dynamic systems with respect to a non-linear increasing value function tha...
This book details approximate solutions to common fixed point problems and convex feasibility proble...
We consider multi-objective convex optimal control problems. First we state a relationship between t...
For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an it...
Recent advances in numerical optimization provide new opportunities to improve the performance of mo...
Due to their extraordinary utility and broad applicability in many areas of classical mathematics an...
In this presentation, we will develop a short overview of main trends of optimization in systems and...
In this book, the authors propose efficient characterizations of the non-convex regions that appear ...
In this book, the authors propose efficient characterizations of the non-convex regions that appear ...
In practical optimal control problems both integer control variables and multiple objectives can be ...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...
International audienceIn this book, the authors propose efficient characterizations of the non-conve...