Abstract
In this paper, an observer based dissipativity analysis for dynamical systems governed by partial differential equations (PDEs) of parabolic type is investigated. A second order PDEs with time-varying delays and external disturbances is considered. By constructing an appropriate Lyapunov-Krasovskii functional (LKF), a new set of sufficient conditions are obtained to guarantee the considered system is finite-time bounded (FTB) and finite-time extended dissipative (FTED). The observer based feedback controller design and dissipativity results are derived using the singular value decomposition (SVD) and linear matrix inequalities (LMIs). Finally, the results are verified with numerical example.
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