On continuous-time infinite horizon optimal control—Dissipativity, stability, and transversality

This paper analyzes the interplay between dissipativity and stability properties in continuous-time infinite-horizon Optimal Control Problems (OCPs). We establish several relations these properties, which culminate a set of equivalence conditions. Moreover, we investigate convergence optimal adjoint trajectories. The workhorse for our investigations is notion strict OCPs, has been coined context economic model predictive control . With respect to link dissipativity, present can be seen as an extension seminal work on least squares by Jan C. Willems (1971). Furthermore, show that provides conclusive answer question transversality conditions raised Hubert Halkin (1974). Put differently, under adjoints converge their steady-state value. draw upon examples illustrate findings. discuss relation findings results available literature.