Department of Mathematics
Title : Exponential decay for linear time-varying systems
| Speaker: Dr Adrian Hill Affiliation: University of Bath, UK Time: 12 pm Thursday, 29 March, 2012 Location: Room 412 |
Abstract
| Consider the ODE dy/dt=A(t)y in R^N, and suppose that for each fixed t, solutions of dx/ds=A(t)x decay exponentially with s, at a uniform rate. Despite these hypotheses, y(t) may grow if A(t) varies too rapidly. We explain how this can happen, and give sufficient conditions for y(t) to decay exponentially. We also explore the related discrete case. (joint work with Achim Ilchmann, Ilmenau University, Germany) |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
