
doi: 10.1002/rnc.4958
SummaryThis article is concerned with the regional output feedback stabilization problems for semilinear time‐fractional diffusion systems in a 1≤n−dimensional parallelepipedon with control inequality constraints. For this, the spectrum decomposition method is used to derive a finite‐dimensional fractional ordinary differential equation (ODE) system that captures the dominant dynamics of the considered system. With this ODE system, we propose a finite‐dimensional fractional compensator to guarantee that the constrained closed‐loop semilinear systems are Mittag‐Leffler stable in some subregions of their evolution domains. An example is finally included to illustrate our results.
Fractional derivatives and integrals, regional stabilization, semilinear time-fractional diffusion systems, Stabilization of systems by feedback, Nonlinear systems in control theory, constrained control, Control/observation systems governed by ordinary differential equations, finite-dimensional fractional compensator
Fractional derivatives and integrals, regional stabilization, semilinear time-fractional diffusion systems, Stabilization of systems by feedback, Nonlinear systems in control theory, constrained control, Control/observation systems governed by ordinary differential equations, finite-dimensional fractional compensator
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