Results 31 to 40 of about 343 (60)
Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 103-112, 1994., 1993 Time‐invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one‐shot construction of a Lyapunov function, for asymptotic stability of a compact invariant set and for the exact determination of the asymptotic stability domain of the invariant set ...
Ljubomir T. Grujic
wiley +1 more source
Convergence Rate of Nonlinear Switched Systems
, 2015 This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of inputs but not for all inputs.
Jouan, Philippe, Naciri, Saïd
core +2 more sources
An Eulerian Approach to the Analysis of Krause's Consensus Models [PDF]
, 2012 . In this paper we analyze a class of multi-agent consensus dynamical systems inspired by Krause’s original model. As in Krause’s, the basic assumption is the so-called bounded confidence: two agents can influence each other only when their state values ...
C. Canuto +3 more
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Solutions to Lyapunov stability problems: nonlinear systems with continuous motions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 587-596, 1994., 1992 The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o‐uniquely bounded sets, which
Ljubomir T. Grujić
wiley +1 more source
Sparsely-Packetized Predictive Control by Orthogonal Matching Pursuit [PDF]
, 2012 We study packetized predictive control, known to be robust against packet dropouts in networked systems. To obtain sparse packets for rate-limited networks, we design control packets via an L0 optimization, which can be effectively solved by orthogonal ...
Nagahara, Masaaki +2 more
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Neural network quaternion-based controller for port-Hamiltonian system
Demonstratio MathematicaIn this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E. +2 more
doaj +1 more source
Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate
Results in Physics, 2021 In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability.
Amir Khan +5 more
doaj
Mathematical model on influence of past experiences on present activities of human brain
Computational and Mathematical BiophysicsThis article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara +2 more
doaj +1 more source
Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold
Advances in Nonlinear Analysis, 2018 Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2π7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia +3 more
doaj +1 more source
Optimal control of fractional systems: numerics under diffusive formulation [PDF]
, 2011 Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis, Therme, Nicolas
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