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Title of Journal: Acta Appl Math

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Abbravation: Acta Applicandae Mathematicae

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Springer Netherlands

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DOI

10.1016/0022-0736(90)90067-c

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1572-9036

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Analysis of a Polynomial System Arising in the Des

Authors: Billye Cheek Mieczyslaw Dabkowski Amr El Nagdi Louis R Hunt T P LaFave Ke Liu Duncan L MacFarlane Viswanath Ramakrishna
Publish Date: 2012/02/10
Volume: 118, Issue: 1, Pages: 107-123
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Abstract

In this work we consider design questions for an active optical lattice filter which is being manufactured at the University of Texas at Dallas and which has proven to be useful in the signal processing task of RF channelization The filter can be described by a linear discrete time state space model The controlling agents the gains are embedded in the matrices intervening in this state space model Consequently techniques from linear feedback control theory do not apply We concentrate on the question of finding real valued gains so that the A matrix of the state space model has a prescribed characteristic polynomial We find that three of the coefficients can be arbitrarily picked but that the remaining are constrained by these and the other system parameters Our techniques use methods from constructive algebraic geometry

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Other Papers In This Journal:
  1. Virasoro Action on Pseudo-Differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems
  2. Positive Solutions for Singular BVPs with Sign Changing and Derivative Depending Nonlinearity on the Positive Half-Line
  3. On L 1 Bounds for Asymptotic Normality of Some Weakly Dependent Random Variables
  4. Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures
  5. Noncommutative Dynamical Models with Quantum Symmetries
  6. A BGK Model for Gas Mixtures
  7. Marshall and Olkin’s Distributions
  8. An Initial-Boundary Value Problem for the Korteweg–de Vries Equation with Dominant Surface Tension
  9. Variational Approach to the Inviscid Compressible Fluid
  10. The Numerical Asymptotically Stability of a Linear Differential Equation with Piecewise Constant Arguments of Mixed Type
  11. On a Time-Dependent Fluid-Solid Coupling in 3D with Nonstandard Boundary Conditions
  12. Application of He’s Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
  13. Estimate on the Dimension of Global Attractor for Nonlinear Dissipative Kirchhoff Equation
  14. Zero Dynamics and Stabilization for Analytic Linear Systems
  15. Multiplicative Property of the Digital Fundamental Group
  16. Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids
  17. Existence Results for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups
  18. A Partially Observed Ultra-High-Frequency Data Model: Risk-Minimizing Hedging
  19. On q -Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics
  20. A Geometric Approach to Trajectory Design for an Autonomous Underwater Vehicle: Surveying the Bulbous Bow of a Ship
  21. Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for Subdiffusion
  22. Symmetries, Lagrangian and Conservation Laws for the Maxwell Equations
  23. Duals of Frame Sequences
  24. Critical Points of the Optimal Quantum Control Landscape: A Propagator Approach
  25. On the Reverse Wiener Indices of Unicyclic Graphs
  26. Infinitely Many Local Higher Symmetries without Recursion Operator or Master Symmetry: Integrability of the Foursov–Burgers System Revisited
  27. Homogenization of Nonlinear Degenerate Non-monotone Elliptic Operators in Domains Perforated with Tiny Holes
  28. Qualitative Analysis of a Predator-Prey Model with Predator Saturation and Competition
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