- Volume 26 Issue 4
DISTRIBUTED ROBUST CONTROL OF KELLER-SEGEL EQUATIONS
- RYU, SANG-UK (Department of Mathematics Cheju National University) ;
- YUN, YONG-SIK (Department of Mathematics Cheju National University)
- Received : 2004.08.10
- Accepted : 2004.10.08
- Published : 2004.12.25
We are concerned with the robust control problem for the Keller-Segel equations with the distributed control and disturbance. We consider the present problem as a differential game finding the best control which takes into account the worst disturbance. We prove the existence of solutions and the optimality conditions to a corresponding problem.
- J. Math. Anal. Appl. v.164 On the optimal control of strongly nonlinear evolution equations Papageorgiou, N.S.
- J. Math. Anal. Appl. v.256 Optimal control of Keller-Segel equations Ryu, S.U.;Yagi, A.
- Interpolation theory, function spaces, differential operators Triebel, H.
- Analysis and Control of Nonlinear Infinite Dimensional Systems Barbu, V.
- Physica D v.138 A general framework for robust control in fluid mechanics Bewley, T.R.;Temam, R.;Ziane, M.
- Proc. Roy. Soc. Edinburgh Sect. v.125 Optimal control of quasilinear parabolic equations Casas, E.;Fernandez, L.A.;Yong, J.
- Mathematical Analysis and Numerical Methods for Science and Technology 5 Dautray, R.;Lions, J.L.
- Journal of theoritical biology v.26 Initiation of slime mold aggregation viewed as an instability Keller, K.L.;Segel, L.A.
- Optimal Control of Distributed Parameter Systems Ahmed, N.U.;Teo, K.L.
- Optimal Control of Systems Governed by Partial Differential Equations Lions, J.L.