Results 21 to 30 of about 72,754 (241)
Finite Time Stability of Stochastic Hybrid Systems
Abstract and Applied Analysis, 2014 This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems.
Ying Yang, Guopei Chen
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Stationary Stability for Evolutionary Dynamics in Finite Populations
Entropy, 2016 We demonstrate a vast expansion of the theory of evolutionary stability to finite populations with mutation, connecting the theory of the stationary distribution of the Moran process with the Lyapunov theory of evolutionary stability.
Marc Harper, Dashiell Fryer
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Lyapunov stability of abstract nonlinear dynamic system in Banach space [PDF]
, 2003 The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in this paper. The Lyapunov stable theorem and the Barbashin-Krasovskii-LaSalle invariant set principle in classical theory are extended to infinite ...
Xu, GQ, Yung, SP
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Journal of Applied Mathematics, 2014 We investigate the qualitative behavior of a perturbed causal differential equation that differs in initial position and initial time with respect to the unperturbed causal differential equations.
Coşkun Yakar, Mustafa Bayram Gücen
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Robust Stability for Impulsive Systems With Polytope Uncertainties
IEEE Access, 2019 This paper is concerned with robust stability for impulsive systems with polytope uncertainties. At first, the stability for impulsive systems without uncertainties is addressed by employing a Lyapunov-like functional.
Hanyong Shao, Wenjing Wang
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Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional
Advances in Difference Equations, 2021 In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient ...
Lihua Dai +3 more
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A graph-theoretic approach to global input-to-state stability for coupled control systems
Advances in Difference Equations, 2017 In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
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Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation
Advances in Mathematical Physics, 2020 In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based
Chunhua Cheng +4 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 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
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A Tutorial on Incremental Stability Analysis using Contraction Theory [PDF]
Modeling, Identification and Control, 2010 This paper introduces a methodology for differential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the ...
J. Jouffroy, T.I. Fossen
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