Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints
Fudong Ge, YangQuan Chen
Abstract
Summary This 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.
Topics & Concepts
OdeOrdinary differential equationMathematicsControl theory (sociology)Fractional calculusApplied mathematicsDiffusionDecompositionDifferential (mechanical device)Control (management)Differential equationMathematical analysisComputer sciencePhysicsEcologyThermodynamicsArtificial intelligenceBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations