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Approximate maximum principle for discrete approximations of optimal control systems with nonsmooth objectives and endpoint constraints

Boris S. Mordukhovich; Ilya Shvartsman — 2013

ESAIM: Control, Optimisation and Calculus of Variations

The paper studies discrete/finite-difference approximations of optimal control problems governed by continuous-time dynamical systems with endpoint constraints. Finite-difference systems, considered as parametric control problems with the decreasing step of discretization, occupy an intermediate position between continuous-time and discrete-time (with fixed steps) control processes and play a significant role in both qualitative and numerical aspects of optimal control. In this paper we derive an...

Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach

Hartmut Logemann; Eugene P. Ryan; Ilya Shvartsman — 2007

ESAIM: Control, Optimisation and Calculus of Variations

This paper is concerned with integral control of systems with hysteresis. Using an input-output approach, it is shown that application of integral control to the series interconnection of either (a) a hysteretic input nonlinearity, an -stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an -stable, time-invariant linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions, tracking...

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