Titlebook: System Modeling and Optimization XX; IFIP TC7 20th Confer E. W. Sachs,R. Tichatschke Conference proceedings 2003 IFIP International Federat

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On Approximate Robust Counterparts of Uncertain Semidefinite and Conic Quadratic Programs constraints arising in the framework of Robust Convex Programming and demonstrate that these conditions are “tight” up to an absolute constant factor. We discuss applications in Control on the construction of a quadratic Lyapunov function for linear dynamic system under interval uncertainty.

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Global Convergence of a Hybrid Trust-Region SQP-Filter Algorithm for General Nonlinear Programminger and Toint). This variant allows the use of two types of step strategies: the first decomposes the step into its normal and tangential components, while the second replaces this decomposition by a stronger condition on the associated model decrease.

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Some Aspects of Nonlinear Semidefinite Programminge programming problems and concentrate on selected aspects that are relevant for understanding dual barrier methods. The paper is aimed at graduate students to highlight some issues regarding smoothness, regularity, and computational complexity without going into details.

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