Results 61 to 70 of about 2,005 (225)
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
New approaches on adaptive stabilization for uncertain systems subject to multiple time delays
AIP AdvancesThis paper explores the stabilization issue of uncertain systems subject to multiple time delays under adaptive robust control. Without imposing matching constraints on uncertain system parameter matrices, an adaptive robust controller is utilized to ...
Sirui Zhu
doaj +1 more source
Discrete Dynamics in Nature and Society, 2009 The paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of ...
Ling Zhang +3 more
doaj +1 more source
Optimal Control Applications and Methods, EarlyView.Schematic representation of the proposed disease transmission model incorporating vertical transmission, saturated incidence, and nonlinear treatment. The study combines theoretical analysis, bifurcation and stability investigations, and optimal control techniques to evaluate prevention and treatment interventions.
Oludolapo A. Olanrewaju +1 more
wiley +1 more source
Journal of Inequalities and Applications, 2019 This paper is concerned with the local asymptotic stability problem for a competitive Lotka–Volterra system with time-varying delays. By constructing the novel augmented Lyapunov–Krasovskii functionals and using the Wirtinger integral inequality, some ...
Rui Dong, Lei Chen, Yonggang Chen
doaj +1 more source
Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Remarks on Lyapunov-Krasovskii Functionals with Weak Decay Rates
, 2019 In the existing Lyapunov literature, the decay rate of a Lyapunov-Krasovskii functional along trajectories is commonly required to be comparable to the norm of the state variables (or output variables) over the delay interval.
Hasala Gallolu Kankanamalage +5 more
core +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Designing safe control laws for nonlinear systems is challenging, especially when ensuring stability under actuator saturation and state constraints. A key aspect is embedding controllers with a Region of Attraction (ROA), which defines initial conditions guaranteeing convergence to a stable equilibrium point (EP).
Bhaskar Biswas +3 more
wiley +1 more source