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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...
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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