What ODE-Approximation Schemes of Time-Delay Systems Reveal about Lyapunov-Krasovskii Functionals [PDF]
The article proposes an approach to complete-type and related Lyapunov-Krasovskii functionals that neither requires knowledge of the delay Lyapunov matrix function nor does it involve linear matrix inequalities.
Hagenmeyer, Veit +2 more
core +3 more sources
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley +1 more source
Stability bound analysis of singularly perturbed systems with time-delay [PDF]
This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals.
Sun Fengqi +3 more
doaj +1 more source
LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals [PDF]
Projet SOSSOIn this note is proposed an analogue for linear delay systems of the character- ization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation. It is shown that strong delay-independent stability of
Bliman, Pierre-Alexandre
core +4 more sources
Mean-square exponential input-to-state stability of stochastic inertial neural networks
By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
doaj +1 more source
Stability Analysis of Systems With Time-Varying Delays via an Improved Integral Inequality
This paper is concerned with a new stability criterion for systems with time-varying delays. Firstly, a generalized integral inequality is proposed, which includes some existing inequalities as special cases. Then, a new stability criterion is derived by
Junkang Tian, Zerong Ren
doaj +1 more source
Asymptotic stabilization for nonlinear systems with time‐varying delays
In this paper, asymptotic stabilization problem for a class of nonlinear systems with unknown time‐varying delays is addressed. With the introduced static gain functions and new Lyapunov–Krasovskii functionals, a novel output feedback control strategy is
Wenjie Li, Zhengqiang Zhang
doaj +1 more source
This paper is concerned with the stability analysis problems of linear systems with time-varying delays using integral inequalities. To reduce the conservatism of stability criteria obtained with Lyapunov-Kraosvksii approach, there has been a growing ...
Nam Kyu Kwon, Seok Young Lee
doaj +1 more source
Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals [PDF]
Abstract The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities and are obtained by the direct Lyapunov method. MSC:34H15,
Shatyrko, Andrej +3 more
openaire +3 more sources
ON ROBUST STABILITY VIA COMPLETE LYAPUNOV KRASOVSKII FUNCTIONAL [PDF]
Abstract Stability of linear systems with norm-bounded uncertainties and uncertain time-varying delays is considered. The delays are supposed to be bounded and fast-varying (without any constraints on the delay derivative). Sufficient stability conditions are derived via complete Lyapunov-Krasovskii functional (LKF). A new LKF construction, which was
Emilia Fridman, Silviu Niculescu
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