Titlebook: Optimal Control, Stabilization and Nonsmooth Analysis; Marcio S. Queiroz,Michael Malisoff,Peter Wolenski Conference proceedings 2004 Sprin

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Explicit Formulae for Boundary Control of Parabolic PDEs,implest case of constant coefficients the existing results are not explicit and require numerical solution, e.g., solving an operator Riccati equation in case of the LQR method. .In this paper, we present explicit (closed form) solutions to several application motivated parabolic problems, including

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Lyapunov Functions and Feedback in Nonlinear Control,s, it turns out to be essential to consider nonsmooth Lyapunov functions, even if the underlying control dynamics are themselves smooth. We synthesize in this article a number of recent developments bearing upon the regularity properties of Lyapunov functions. A novel feature of our approach is that

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Techniques for Nonsmooth Analysis on Smooth Manifolds I: Local Problems, by intrinsic nonsmooth phenomena in control theory, optimization, mathematical economics and many other fields. In the past several y ears many problems in control theory, matrix analysis and geometry naturally led to an increasing interest in nondifferentiable functions on smooth manifolds. Since