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Structured and Simultaneous Lyapunov Functions for System Stability Problems
Structured Simultaneous Lyapunov Functions System Stability Problems
2015/7/13
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of dx/dt...
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...
Synthesizing Stability Regions for Systems with Saturating Actuators
Synthesizing Stability Regions Systems Saturating Actuators
2015/7/10
This paper presents a method of synthesizing controllers for systems with input saturation that guarantees state space regions of attraction. While the computation of stability regions and the corresp...
ON THE STABILITY OF CHOLESKY FACTORIZATION FOR SYMMETRIC QUASIDEFINITE SYSTEMS*
indefinite systems symmetric quasidefinite (sqd) systems
2015/7/3
Sparse linear equations Kd r are considered, where K is a specially structured
symmetric indefinite matrix that arises in numerical optimization and elsewhere. Under certain
conditions, K is quaside...