Stability conditions for time delay systems in terms of the Lyapunov matrix
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DOI: 10.1016/j.ifacol.2018.07.212
Abstract: Abstract An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof strategies are outlined in the retarded type case. The state of the art… read more here.
Keywords: stability conditions; terms lyapunov; delay; lyapunov matrix ... See more keywords
On the Lyapunov Matrix for Integral Delay Systems with a Class of General Kernel
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DOI: 10.1016/j.ifacol.2019.12.212
Abstract: Abstract We study integral delay systems with exponential kernel. The computation of the Lyapunov matrix is shown to reduce to an auxiliary system of differential equations with boundary conditions of mixed type. We prove that… read more here.
Keywords: integral delay; delay; matrix integral; lyapunov matrix ... See more keywords
Extension of State Space and Lyapunov Matrices
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DOI: 10.1109/tac.2020.2995404
Abstract: One of the main problems in the application of the theory of Lyapunov–Krasovskii functionals is the construction of corresponding Lyapunov matrices. Recently, it was noted that systems with distributed delay and exponential kernel may be… read more here.
Keywords: lyapunov; system; state space; extension state ... See more keywords
Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems
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DOI: 10.1109/tsmc.2020.3003545
Abstract: This article involves the problems of stabilization and guaranteed cost control for a class of delayed continuous-time nonlinear systems. The sufficient conditions for the existence of stabilization controllers and guaranteed cost controllers are investigated by… read more here.
Keywords: cost control; cost; guaranteed cost; matrix based ... See more keywords
Parametric Smith iterative algorithms for discrete Lyapunov matrix equations
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DOI: 10.3934/jimo.2019093
Abstract: An iterative algorithm is established in this paper for solving the discrete Lyapunov matrix equations. The proposed algorithm contains a tunable parameter, and includes the Smith iteration as a special case, and thus is called… read more here.
Keywords: matrix equations; parametric smith; smith iterative; discrete lyapunov ... See more keywords