Results 21 to 30 of about 706 (132)
ℋ∞ constant gain state feedback stabilization of stochastic hybrid systems with Wiener process
Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 333-345, 2004., 2004 This paper considers the stabilization problem of the class of continuous‐time linear stochastic hybrid systems with Wiener process. The ℋ∞ state feedback stabilization problem is treated. A state feedback controller with constant gain that does not require access to the system mode is designed.
E. K. Boukas, N. F. Al-Muthairi
wiley +1 more source
Almost periodic solution of a discrete competitive system with delays and feedback controls
Open Mathematics, 2019 A discrete nonlinear almost periodic multispecies competitive system with delays and feedback controls is proposed and investigated. We obtain sufficient conditions to ensure the permanence of the system.
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
wiley +1 more source
Global periodic solutions in a plankton-fish interaction model with toxication delay
Nonlinear Engineering, 2018 In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
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Within-host models of dengue virus transmission with immune response
Computational and Mathematical Biophysics, 2023 Dengue fever is an infectious viral fever. The complex behavior of the virus within the body can be explained through mathematical models to understand the virus’s dynamics.
Muthu Poosan, Modak Bikash
doaj +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 137-152, 2003., 2003 This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm‐bounded uncertainties are considered. Linear matrix inequality (LMIs) delay‐dependent sufficient conditions for both stability and stabilizability and ...
D. Mehdi, E. K. Boukas
wiley +1 more source
Open Mathematics, 2023 In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R01{R}_{0}\gt 1, there exists a unique endemic ...
Ding Yanlin, Jiao Jianjun
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On eventual stability of impulsive systems of differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 485-494, 2001., 2001 The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.
A. A. Soliman
wiley +1 more source
Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect
Open Mathematics, 2022 We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence and local stability of possible equilibria.
He Xiaqing +3 more
doaj +1 more source
Stable dynamics in forced systems with sufficiently high/low forcing frequency [PDF]
, 2015 We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is relatively high or low.
Arnold V. I. +19 more
core +2 more sources