Sufficient optimality conditions for discrete automaton-type systems

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

“…The discrete automaton type systems constitute a part of dynamical systems with an automaton part [1, 2], logic-dynamic systems [3]-[7], and hybrid systems [8]- [13]. Unlike the classical models of discrete systems [14,15], where the states are changed (switched) at prescribed (switching) times, the states of discrete automaton type systems can be switched at artibtary times [16,17].As in logic-dynamic systems, optimal processes with instantaneous multiple switchings can arise in automaton type systems [2]. Such processes are limits of minimizing sequrences in which the switching times tend to a limit without violating their mutual arrangement.…”

“…The discrete automaton type systems constitute a part of dynamical systems with an automaton part [1, 2], logic-dynamic systems [3]-[7], and hybrid systems [8]- [13]. Unlike the classical models of discrete systems [14,15], where the states are changed (switched) at prescribed (switching) times, the states of discrete automaton type systems can be switched at artibtary times [16,17].…”