Asymptotic Stability of Discontinuous Cauchy Problems in Banach Space with Applications
| Authors: | Michel Anthony N., University of Notre Dame, United States
Sun Ye, Credit Suisse First Boston, United States |
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| Topic: | 2.3 Non-Linear Control Systems |
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| Session: | Nonlinear Stability I |
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| Keywords: | Differential equations in Banach space, Cauchy problems on abstract spaces, discontinuous dynamical systems, semigroups, Lyapunov stability, asymptotic syability, partial differential equations, functional differential equations, heat equation |
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Abstract
We present an asymptotic stability result for a class of discontinuous dynamical systems (DDS) determined by differential equations in Banach space (resp., Cauchy problems on abstract spaces). We demonstrate the applicability of our result in the analysis of several important classes of DDS, including systems determined by functional differential equations and partial differential equations.
