Generalized Absolute Stability Using Lyapunov Functions With Relaxed Positivity Conditions
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DOI: 10.1109/lcsys.2017.2782747
Abstract: Conditions are given for verifying stability and computing upper bounds on the induced (regional) $\mathcal {L}_{2}$ gain for systems defined by vector fields which are, along with their Jacobian, rational in the states and sector… read more here.
Keywords: stability using; using lyapunov; absolute stability; stability ... See more keywords
An Improved Convergence Theorem of the Newton-Based AOR Method for Generalized Absolute Value Equations
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DOI: 10.3390/sym14061249
Abstract: For solving the large sparse generalized absolute value equations, recently a Newton-based accelerated over-relaxation (NAOR) method was investigated. In this paper, we widen the convergence regions for the parameters and establish a new convergence theorem… read more here.
Keywords: convergence; convergence theorem; method; absolute value ... See more keywords