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Computation of the Maximum H_infinity-norm of Parameter-Dependent Linear Systems by a Branch and Bound Algorithm
Computation Maximum H_infinity-norm Parameter-Dependent Linear Systems Bound Algorithm
2015/7/13
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...
Branch and Bound Algorithm for Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems
Branch Bound Algorithm Computing Minimum Stability Degree Parameter-Dependent Linear Systems
2015/7/13
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
2015/7/13
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 systems quadratic stabilization linear matrix inequality (LMI)
2015/7/13
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
Analysis Linear Systems Saturation Convex Optimization
2015/7/13
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...
Joint Optimization of Communication Rates and Linear Systems
Communication systems control over networks convex optimization quantization noise
2015/7/10
We consider a linear control system in which several signals are transmitted over communication channels with bit-rate limitations. With the coding and medium access schemes of the communication syste...