Flores, CynthiaSmith, Derek L.2020-01-182020-01-182020-01-182019-09-1310.1051/cocv/2018033https://infoscience.epfl.ch/handle/20.500.14299/164657WOS:000505789800005We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in H-s(& x1d54b;), s > 2. A dissipative term is incorporated into the control which, along with a propagation of regularity property, yields a smoothing effect permitting the application of the contraction principle.Automation & Control SystemsMathematics, AppliedAutomation & Control SystemsMathematicskorteweg-de vries equationperiodic domainpropagation of regularityexact controllabilitystabilizationnonlinear schrodinger-equationglobal well-posednessboundary-value-problembenjamin-ono-equationinitial-value problemkawahara equationkdv equationexact controllabilitycauchy-problemstabilizabilityControl and stabilization of the periodic fifth order Korteweg-de Vries equationtext::journal::journal article::research article