Memoryless Control to Drive States of Delayed Continuous-time Systems within the Nonnegative Orthant

Abstract The stabilization problem for the class of linear continuous-time systems with fixed but unknown delay is solved when the additional condition that the states are nonnegative is studied. In particular, the synthesis of state-feedback controllers is solved by giving necessary and sufficient conditions in terms of Linear Programs. The solution is also extended to stabilization by bounded control (including nonnegative control) and stabilization under uncertainty.

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