Part of the Systems & Control: Foundations & Applications book series (MBC)
Consider the evolution of a control system with (multivalued) feedbacks:
where the state x(·) ranges over a finite dimensional vector-space X and the control u(·) ranges over another finite dimensional vector-space Z. Here, the first equation describes how the control — regarded as an input to the system — yields the state of the system1 — regarded as an output — whereas the second inclusion shows how the state-output “feeds back” to the control-input. The set-valued map U : X → Z may be called an “a priori feedback”. It describes the state-dependent constraints on the controls. A solution to this system is a function t → x(t) satisfying this system for some control t → u(t).
KeywordsGeneral Equilibrium Theory Contingent Derivative Viability Kernel Cultural Code Viability Constraint
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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