Exponential H^1 stability of the observation error is shown for the quasilinear heat equation using linear backstepping design, with convergence to zero despite persistent mismatch and a non-monotonic gain-rate relationship.
Roub´ ıˇ cek, Nonlinear partial differential equations with applications,Basel: Birkh¨ auser Basel
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Backstepping Observer for the Quasilinear Heat Equation with Linear Design Gains: Beyond Local Stability
Exponential H^1 stability of the observation error is shown for the quasilinear heat equation using linear backstepping design, with convergence to zero despite persistent mismatch and a non-monotonic gain-rate relationship.