Bang-bang control of a second-order non-linear stable plant with second-order nonlinearity
Bang-bang control of a second-order non-linear stable plant with fourth- order nonlinearity
Bilinear systems and chaos
Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
Boundary value problems and periodic solutions for semilinear evolution inclusions
We consider boundary value problems for semilinear evolution inclusions. We establish the existence of extremal solutions. Using that result, we show that the evolution inclusion has periodic extremal trajectories. These results are then applied to closed loop control systems. Finally, an example of a semilinear parabolic distributed parameter control system is worked out in detail.
Boundary value problems arising in Kalman filtering.
Boundary-influenced robust controls: two network examples
We consider the differential game associated with robust control of a system in a compact state domain, using Skorokhod dynamics on the boundary. A specific class of problems motivated by queueing network control is considered. A constructive approach to the Hamilton-Jacobi-Isaacs equation is developed which is based on an appropriate family of extremals, including boundary extremals for which the Skorokhod dynamics are active. A number of technical lemmas and a structured verification theorem...
Brève communication. Sur la commande en temps minimum du système