Feedback Stabilization of Infinite-Dimensional Linear Systems with Constraints on Control and its Rate

doi:10.3166/ejc.17.183-190

European Journal of Control

Volume 17, Issue 2, 2011, Pages 183-190

https://doi.org/10.3166/ejc.17.183-190 Get rights and content

The feedback stabilization problem in the presence of nonsymmetrical constraints on both control and its rate is addressed for a class of distributed parameter systems.Necessary and sufficient conditions are established, under which the constraints are satisfied for autonomous infinitedimensional systems. The approach is developed using the semigroup formulation and the positive invariance concept. The main result allows us to determine some suitable positively invariant sets of admissible initial states,in which the constraints are satisfied, with respect to the asymptotically stable closed-loop system.

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View full text

Feedback Stabilization of Infinite-Dimensional Linear Systems with Constraints on Control and its Rate

Syst Control Lett

Autom

Positively invariant sets in Banach spaces and applications to control by order constraints and retarded differential equations

Diff Equ Dynam Syst

Invariant sets in Banach lattices and linear differential equations and delay

Positivity

Bounded feedback stabilization and global separation principal of distributed parameter systems

IEEE Trans Autom Control

Analyse fonctionnelle Theory et Application