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1066-033X/09/$25.00©2009IEEE Digital Object Identifier 10.1109/MCS.2008.931718 M any dynamical systems combine behaviors that are typical of continuous-time dynamical systems with behaviors that are typical of discrete-time dynamical systems. For example, in a switched electrical circuit, voltages and currents that change continuously according to classical(More)
It is shown that any convex function can be approximated by a family of differentiable with Lipschitz continuous gradient and strongly convex approximates in a “self-dual” way: the conjugate of each approximate is the approximate of the conjugate of the original function. The approximation technique extends to saddle functions, and is self-dual with respect(More)
A continuous time infinite horizon linear quadratic regulator with input constraints is studied. On the theoretical side, optimality conditions, both in the open loop and feedback form, are shown together with smoothness of the value function and local Lipschitz continuity of the optimal feedback. Arguments are self-contained, use basic ideas of convex(More)
In this paper we mainly consider the class LN of all locally nilpotent groups. Using similar arguments as in [GrS] we first show that there is no universal group in LNλ if λ is a cardinal such that λ = λ0 ; here we call a group G universal (in LNλ) if any group H ∈ LNλ can be embedded into G where LNλ denotes the class of all locally nilpotent groups of(More)
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