Hamilton Institute Seminars (iPod / small)

The Hamilton Institute is a multi-disciplinary research centre established at the National University of Ireland, Maynooth in November 2001. The Institute seeks to provide a bridge between mathematics and its applications in ICT and biology. In this podcast feed, we make accessible some of the best seminars held by members of the Hamilton Institute, visitors or guest speakers. Futhermore, it will also contain the lectures give as part of the 'Network Mathematics Graduate Programme'. The video files contained in this feed should be fully compatible with all video capable iPods and newer devices.

Last refreshed: July 23rd, 2025 at 9:34 AM ⓘ

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Episodes

Patchy Solutions of Hamilton-Jacobi-Bellman Equations

Speaker: Prof. A. E. Krener Abstract: The Hamilton Jacobi Bellman partial differential equation arises in the solution of optimal control problems. It is a first order, nonlinear, hyperbolic PDE that is very difficult to solve because of the curse of dimensionality. Moreover the solution may not exist in the classical sense, i.e., the solution may not be differentiable everywhere. We describe an approach to approximately solve some of these equations on patches where the solution is smooth....

May 22, 2008•56 min

Passivity-Based Stability Analysis and Applications to Biochemical Reaction Networks

Speaker: Prof. M. Arcak Abstract: The passivity concept - an abstraction of energy conservation and dissipation in physical systems - has been instrumental in feedback control theory and led to breakthroughs in nonlinear and adaptive control design. In this talk we discuss the use of passivity as a stability test for classes of biochemical reaction networks. The main result determines global asymptotic stability of the network from the diagonal stability of a dissipativity matrix which incorpora...

May 18, 2008•49 min

Input-to-State Stability of Differential Inclusions with Application to Hysteretic Feedback Systems

Speaker: Prof. E. P. Ryan Abstract: Input-to state stability is a concept that captures "nice" properties of dynamical systems with input (e.g.bounded input implies bounded state, input "eventually small" implies state "eventually small", input convergent to zero implies state convergent to zero). Input-to-state stability (ISS) of a class of differential inclusions is described. Every system in the class is of Lur'e-type: a feedback interconnection of a linear system and a (set-valued) nonlinear...

May 14, 2008•1 hr 2 min

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