Results 171 to 180 of about 3,133,085 (202)

Verification Methods for the Lyapunov–Krasovskii Functional Inequalities

SIAM Journal on Control and Optimization
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Ali Diab 0002, Giorgio Valmorbida, William Pasillas-Lépine   +2 more
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Construction of Lyapunov–Krasovskii functionals for switched nonlinear systems with input delay

Automatica, 2014
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Yue-E Wang, Xi-Ming Sun, Zhuo Wang, Jun Zhao 0002   +3 more
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Lyapunov–Krasovskii functionals for scalar time delay equations

Systems & Control Letters, 2004
Abstract In this paper a procedure for construction of complete type Lyapunov–Krasovskii functionals for a scalar time delay equation is considered. The functionals depend on a scalar function which satisfies a time delay equation. It is shown that the scalar function satisfies also a high order delay free differential equation.
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Lyapunov–Krasovskii functionals for scalar neutral type time delay equations

Systems & Control Letters, 2009
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Juan Eduardo Velázquez-Velázquez, Vladimir Kharitonov   +1 more
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Estimating stable delay intervals with a discretized Lyapunov–Krasovskii functional formulation

Automatica, 2014
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Yongmin Li 0003, Keqin Gu, Jianping Zhou 0003, Shengyuan Xu 0001   +3 more
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Complete Type Lyapunov-Krasovskii Functionals

2004
In this chapter we give a general description of the complete type quadratic Lyapunov-Krasovskii functionals. Special Lyapunov matrices associated with the functionals are also defined. Uniqueness conditions, as well as a numerical scheme for computation of the Lyapunov matrices, are discussed. Some robust stability conditions. based on the functional,
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Discretized Lyapunov-Krasovskii Functional for Systems With Multiple Delay Channels

ASME 2008 Dynamic Systems and Control Conference, Parts A and B, 2008
Many practical systems have a large number of state variables but only a few components have time delays. These delay components are often scalar or low dimensional, and involve single time delay in each component. A coupled differential-difference equation is well suited to formulate such systems.
Hongfei Li, Keqin Gu
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Synchronization sampled-data control of uncertain neural networks under an asymmetric Lyapunov–Krasovskii functional method

Expert Systems With Applications
This paper investigates the synchronization control of neural networks (NNs) considering parameter uncertainties by utilizing an improved asymmetric Lyapunov–Krasovskii functional (ALKF) method.
Yongbin Yu, Kaibo Shi
exaly   +2 more sources

Stability of Systems With Uncertain Delays: A New “Complete” Lyapunov–Krasovskii Functional

IEEE Transactions on Automatic Control, 2006
Stability of linear systems with uncertain time-varying delay is considered in the case, where the nominal value of the delay is constant and nonzero. Recently a new construction of Lyapunov-Krasovskii functionals (LKFs) has been introduced: To a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the
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Some remarks on Lyapunov-Krasovskii functionals and reduction approach for input delay compensation

2012 American Control Conference (ACC), 2012
For linear systems with pointwise or distributed delays in the inputs which are stabilized through the reduction approach, we propose a new construction technique of Lyapunov-Krasovskii functionals. These functionals allow us to establish the ISS property of the closed-loop systems relative to additive disturbances.
Mazenc, Frédéric, Niculescu, Silviu-Iulian, Krstic, Miroslav   +2 more
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