The existence theorem for one class of optimal problems in Banach space.
The optimal control chart procedure
The moving average (MA) chart, the exponentially weighted moving average (EWMA) chart and the cumulative sum (CUSUM) chart are the most popular schemes for detecting shifts in a relevant process parameter. Any control chart system of span is specified by a partition of the space into three disjoint parts. We call this partition as the control chart frame of span A shift in the process parameter is signalled at time by having the vector of the last sample characteristics fall out of the...
The shooting approach in analyzing bang-bang extremals with simultaneous control switches
The structure of the critical set in the general mountain pass principle
The sufficient condition for linear constant time-lag systems to be normal systems
Time optimal control of a second order nonlinear plant
Time optimal control of the heat equation with pointwise control constraints
Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin’s maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control are obtained....
Time optimal control problem for differential inclusions
Time-optimal control of a third-order plant
Time-optimal control of infinite order hyperbolic systems with time delays
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem
Time-optimal control of systems with fractional dynamics.
Turnpike properties of approximate solutions of autonomous variational problems