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BOUNDING THE CONSISTENCY STRENGTH OF A FIVE ELEMENT LINEAR BASIS
CONSISTENCY STRENGTH FIVE ELEMENT LINEAR BASIS
2015/8/17
In [13] it was demonstrated that the Proper Forcing Axiom implies that there is a five element basis for the class of uncountable linear orders. The assumptions needed in the proof have consistency st...
Derivation of Instantaneous Unit Hydrograph for a sub-basin using Linear Geomorphological Model and Geographic Information Systems
Geographic Information System GIS Linear Geomorphological Model LGM GIUH
2015/8/14
Rainfall is converted into runoff and reaches the river and it becomes river flow. Geomorphological Instantaneous Unit Hydrograph (GIUH) based approach, which uses the geomorphologic parameters, is us...
Subharmonic functions and performance bounds on linear time-invariant feedback systems
Harmonic function linear the performance of the single output system a linear control system the harmonic function
2015/8/13
In this paper we study multi-input multi-output (MIMO) linear time-invariant (LTI) control systems. We show that some well known constraints on the performance of single-input single-output (SISO) lin...
A new CAD method and associated architectures for linear controllers
Computer aided design linear controller automatic control computer aided design value function
2015/8/13
A new CAD method and associated architectures are proposed for linear controllers. The design methods and architecture are based on recent results which parametrize all controllers which stabilize a g...
Example of exact trade-offs in linear controller design
Linear time-invariant controller robust controller linear quadratic gaussian the numerical calculation
2015/8/13
The design of a linear time-invariant controller for a given linear-time-invariant plant, like any engineering design, involves tradeoff among many desirable qualities, such as fast response to comman...
Stability robustness of linear systems to real parametric perturbations
Robust parameter linear system the parameter singular value value
2015/8/12
We consider linear time-invariant systems subject to real, parametric variations. The problem of computing the half-sidelength 1/mu_infinity of the largest stability hypercube in the parameter space i...
Linear controller design: Limits of performance via convex optimization
Linear controller design convex optimization linear control system the convex optimization algorithm the controller the transfer matrix
2015/8/12
In this tutorial, an approach to the analysis and design of linear control systems based on numerical convex optimization over closed-loop maps is presented. Convexity makes numerical solution effecti...
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.
Computing the minimum stability degree of parameter-dependent linear systems
Parameters related to linear system program control system the branch and bound algorithm is calculated
2015/8/12
For linear systems with unspecified parameters that lie between given upper and lower bounds, we present a branch and bound algorithm that computes the minimum stability degree.
Closed-loop convex analysis of performance limits for linear control systems
Linear control system computer aided control system and design a linear controller convex optimization digital signal processor
2015/8/12
In closed-loop convex analysis and design, the linear controller design problem is reformulated as a convex optimization problem, which may be more easily solved than the problems resulting from conve...
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...
Linear matrix inequalities in system and control theory
Linear matrix inequality system the control theory and linear matrix inequality affine combination symmetric positive semidefinite matrix
2015/8/12
A wide variety of problems in system and control theory can be formulated (or reformulated) as convex optimization problems involving linear matrix inequalities, that is, constraints requiring an affi...
Control systems analysis and synthesis via linear matrix inequalities
Control theory and linear matrix inequality the numerical algebraic riccati inequality lyapunov
2015/8/12
A wide variety of problems in systems and control theory can be cast or recast as convex problems that involve linear matrix inequalities (LMIs). For a few very special cases there are “analytical sol...