scholarly journals Sensitivity oftls and minimum norm methods ofdoa estimation to errors due to either finite data or sensor gain and phase perturbations

Sadhana ◽  
1991 ◽  
Vol 16 (3) ◽  
pp. 195-212
Author(s):  
K R Srinivas ◽  
V U Reddy
Keyword(s):  
Minimum Norm ◽  
Sensor Gain ◽  
Finite Data

Finite data performance of MUSIC and minimum norm methods

1994 ◽  
Vol 30 (1) ◽  
pp. 161-174 ◽  
Author(s):  
K.R. Srinivas ◽  
V.U. Reddy
Keyword(s):  
Minimum Norm ◽  
Finite Data

Discussion on: Sensor Gain Fault Diagnosis for a Class of Nonlinear Systems

2006 ◽  
Vol 12 (5) ◽  
pp. 536-544 ◽  
Author(s):  
Hassan Noura ◽  
Abbas Chamseddine
Keyword(s):  
Fault Diagnosis ◽  
Nonlinear Systems ◽  
Sensor Gain

scholarly journals Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure

2020 ◽  
Vol 10 (1) ◽  
pp. 450-476
Author(s):  
Radu Ioan Boţ ◽  
Sorin-Mihai Grad ◽  
Dennis Meier ◽  
Mathias Staudigl
Keyword(s):  
Dynamical Systems ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Monotone Operators ◽  
Inclusion Problem ◽  
Minimum Norm ◽  
Monotone Inclusion ◽  
Inclusion Problems ◽  
Monotone Inclusion Problem ◽  
Maximally Monotone Operators

Abstract In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators. Our aim is to design methods which guarantee strong convergence of trajectories towards the minimum norm solution of the underlying monotone inclusion problem. To that end, we investigate in detail the asymptotic behavior of dynamical systems perturbed by a Tikhonov regularization where either the maximally monotone operators themselves, or the vector field of the dynamical system is regularized. In both cases we prove strong convergence of the trajectories towards minimum norm solutions to an underlying monotone inclusion problem, and we illustrate numerically qualitative differences between these two complementary regularization strategies. The so-constructed dynamical systems are either of Krasnoselskiĭ-Mann, of forward-backward type or of forward-backward-forward type, and with the help of injected regularization we demonstrate seminal results on the strong convergence of Hilbert space valued evolutions designed to solve monotone inclusion and equilibrium problems.

The Equational Specification of Finite Minimal Unoids Using only Unary Hidden Functions

1982 ◽  
Vol 5 (2) ◽  
pp. 143-170
Author(s):  
Jan A. Bergstra ◽  
John-Jules Ch. Meyer
Keyword(s):  
Data Type ◽  
Bounded Number ◽  
Special Case ◽  
Finite Data

In [5] it has been proved that by using hidden functions the number of equations needed to specify a finite data type is bounded by numbers depending only on the signature of that data type. In the special case of a finite minimal unoid, however, it seems to be relevant to ask whether or not a specification can also be made by a bounded number of equations using only unary hidden functions. In this paper we prove that this can be done.

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