Spectral assignability for distributed parameter systems with unbounded scalar control
SIAM Journal on Control and Optimization
Stability and Stabilization of Infinite Dimensional Systems with Applications
Stability and Stabilization of Infinite Dimensional Systems with Applications
Flatness of Heavy Chain Systems
SIAM Journal on Control and Optimization
Recent progress in the theory of formal solutions for ODE and PDE
Applied Mathematics and Computation - Special issue: Advanced special functions and related topics in differential equations, third Melfi workshop, proceedings of the Melfi school on advanced topics in mathematics and physics
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Spectral analysis is considered for the flatness-based solution of the trajectory planning problem for a boundary controlled diffusion-reaction system defined on a 1@?r-dimensional parallelepipedon. By exploiting the Riesz spectral properties of the system operator, it is shown that a suitable reformulation of the resolvent operator allows a systematic introduction of a basic output, which yields a parametrization of both the system state and the boundary input in terms of differential operators of infinite order. Their convergence is verified for both infinite-dimensional and finite-dimensional actuator configurations by restricting the basic output to certain Gevrey classes involving non-analytic functions. With this, a systematic approach is introduced for basic output trajectory assignment and feedforward tracking control towards the realization of finite-time transitions between stationary profiles.