Synthesis of the Optimal Control of Linear Logical-Dynamical Systems Under Instant Multiple Switchings of the Automaton Part

Sufficient Optimality Conditions for Discrete Automaton Type Systems with Instantaneous Multiple Switchings

“…It turns out that the automaton type system performs instantaneous multiple switchings at this limiting point. Examples show that such processes appear in usual problems, in particular, in the control problem for linear automaton type systems with a quadratic cost function [18,19]. We note that processes with instantaneous multiple switchings do not occur in continuous [20], discrete [14,15], discrete-continuous [21], impulse [22]- [24], and switched [4], [25]- [29] systems.…”