Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userSupplementary Material to: Realizations of a Special Class of Admittances with Strictly Lower Complexity than Canonical Forms
127
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
This is supplementary material to Realizations of a special class of admittances with strictly lower complexity than canonical forms [1], which presents the detailed proofs of some results. For more background information, refer to [2]-[22] and references therein.
rate research
Read More
This report includes the original manuscript (pp. 2-40) and the supplementary material (pp. 41-48) of Passive Mechanical Realizations of Bicubic Impedances with No More Than Five Elements for Inerter-Based Control Design.
This supplement illustrates application of adaptive observer design from (Tyukin et al, 2013) for systems which are not uniquely identifiable. It also provides an example of adaptive observer design for a magnetic bearings benchmark system (Lin, Knospe, 2000).
This is a supplementary material to Realization of three-port spring networks with inerter for effective mechanical control [1], which provides the detailed proofs of some results. For more background information, refer to [2]-[32] and references therein.
We propose a new primal-dual homotopy smoothing algorithm for a linearly constrained convex program, where neither the primal nor the dual function has to be smooth or strongly convex. The best known iteration complexity solving such a non-smooth problem is $mathcal{O}(varepsilon^{-1})$. In this paper, we show that by leveraging a local error bound condition on the dual function, the proposed algorithm can achieve a better primal convergence time of $mathcal{O}left(varepsilon^{-2/(2+beta)}log_2(varepsilon^{-1})right)$, where $betain(0,1]$ is a local error bound parameter. As an example application of the general algorithm, we show that the distributed geometric median problem, which can be formulated as a constrained convex program, has its dual function non-smooth but satisfying the aforementioned local error bound condition with $beta=1/2$, therefore enjoying a convergence time of $mathcal{O}left(varepsilon^{-4/5}log_2(varepsilon^{-1})right)$. This result improves upon the $mathcal{O}(varepsilon^{-1})$ convergence time bound achieved by existing distributed optimization algorithms. Simulation experiments also demonstrate the performance of our proposed algorithm.
This report presents some supplementary material to the paper entitled Passive controller realization of a biquadratic impedance with double poles and zeros as a seven-element Series-parallel network for effective mechanical control [1].
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
