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Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems
Robustness Properties Nonlinear Systems Absolute Stability Linear Systems
2015/9/29
Robustness Properties of Nonlinear Systems:Absolute Stability of Linear Systems.
Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm
Calculation algorithm parameter linear system a branch and bound algorithm linear system
2015/8/12
For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinity-norm over the set of uncertain paramete...
Computation of the worst-case covariance for linear systems with uncertain parameters
Uncertain parameters of linear systems linear systems branch and bound algorithm is calculated
2015/8/12
For a class of linear systems with unknown parameters that lie in intervals, we present a branch and bound algorithm for computing the worst-case covariance of the state.
Branch-and-bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
Branch and bound algorithm linear systems a robust nonlinear and linear system stability the parameters of linear system
2015/8/12
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
On computing the worst-case peak gain of linear systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations worst-case `1-gain.
2015/8/12
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
Quadratic stabilization and control of piecewise-linear systems
Piecewise linear system the controller the lyapunov function the program
2015/8/11
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance...
Analysis of linear systems with saturation using convex optimization
Linear matrix inequality linear system the lyapunov function space area half plan
2015/8/11
We show how linear matrix inequalities (LMI) can be used to perform local stability and performance analysis of linear systems with saturating elements. This leads to conservative information on stabi...
POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS
Pole expansion approximation theory parametrized linear systems electronic structure calculation
2015/7/14
We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurately approximated by ...
Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
Random Quadratic Systems Solving Linear Systems
2015/6/17
We consider the fundamental problem of solving quadratic systems of equations in n variables, where yi = |hai, xi|2, i = 1, . . . , m and x ∈ Rn is unknown. We propose a novel method, which starting w...
Weak Markov Processes as Linear Systems
multi-variable system weakMarkov process cascade observability asymptotic completeness
2012/6/15
A noncommutative Fornasini-Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter t...
A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity
cooperative conjugate gradient method linear systems multithread implementation low complexity Numerical Analysis
2012/4/17
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
Linear systems associated to unicuspidal rational plane curves
Linear systems associated unicuspidal rational plane curves
2012/2/29
A curve C in the projective plane is called non-negative if the self-intersection number of C after the minimal resolution of singularities of C is non-negative. Given a unicuspidal rational plane cur...
A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks
Saddle Point Linear Systems Block Triangular Preconditioner Krylov Subspace Methods
2013/1/30
In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation pa...
Strong Solutions of the Fuzzy Linear Systems
Fuzzy linear system Fuzzy number Strong solution Nonnegative matrix
2011/10/10
Abstract: We consider a fuzzy linear system with crisp coefficient matrix and with an arbitrary fuzzy number in parametric form on the right-hand side. It is known that the well-known existence and un...
Symmetries of Non-Linear Systems: Group Approach to their Quantization
Symmetries of Non-Linear Systems Group Approach Quantization
2011/2/22
We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework.