Results 81 to 90 of about 73,396 (227)
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Relaxed ISS Small-Gain Theorems for Discrete-Time Systems [PDF]
, 2015 In this paper ISS small-gain theorems for discrete-time systems are stated, which do not require input-to-state stability (ISS) of each subsystem. This approach weakens conservatism in ISS small-gain theory, and for the class of exponentially ISS systems
Geiselhart, Roman, Wirth, Fabian R.
core
On the Lyapunov stability theory for impulsive dynamical systems
Topological Methods in Nonlinear Analysis, 2019 Impulsive dynamical systems first appeared in the 1970's and had their mathematical foundation presented almost two decades later. Currently many authors are turning their attention to these systems, where a continuous evolution law is disrupted by abrupt changes of state, called \textit{jumps} or \textit{impulses}.
Bonotto, Everaldo M., Souto, Ginnara M.
openaire +2 more sources
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
Output Feedback Slewing Control of Flexible Spacecraft by Lyapunov Stability Theory [PDF]
Journal of Astronomy and Space Sciences, 1997 Slewing maneuver and vibration suppression control of flexible spacecraft model by Lyapunov stability theory are considered. The specific model considered in this paper consists of a rigid hub with an elastic appendage attached to the central hub and tip
Daesik Kim +2 more
doaj
Non-Smooth Stochastic Lyapunov Functions With Weak Extension of Viscosity Solutions
, 2019 This paper proposes a notion of viscosity weak supersolutions to build a bridge between stochastic Lyapunov stability theory and viscosity solution theory.
Hoshino, Kenta, Nishimura, Yuki
core
Geometric Adaptive Control for a Quadrotor UAV with Wind Disturbance Rejection
, 2018 This paper presents a geometric adaptive control scheme for a quadrotor unmanned aerial vehicle, where the effects of unknown, unstructured disturbances are mitigated by a multilayer neural network that is adjusted online.
Bisheban, Mahdis, Lee, Taeyoung
core +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
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions
, 2013 We introduce the framework of path-complete graph Lyapunov functions for approximation of the joint spectral radius. The approach is based on the analysis of the underlying switched system via inequalities imposed among multiple Lyapunov functions ...
Ahmadi A. A. +8 more
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source