Results 181 to 190 of about 7,477,984 (235)

F²-CommNet: Fourier-Fractional neural networks with Lyapunov stability guarantees for hallucination-resistant community detection. [PDF]

Front Comput Neurosci
Qu D, Ma Y.
europepmc   +1 more source

Predefined-Time Sliding Mode Control of Robotic Manipulators via Artificial Delay Feedback and Reinforcement Learning. [PDF]

Sensors (Basel)
Zhang L, Wang J, Wang J, Lu J, Li P.
europepmc   +1 more source

Formation Control for UAVs Considering Safety Constraints Based on Control Barrier Functions with Switched Trajectories and Switching Communication Topologies. [PDF]

Sensors (Basel)
Wei Z, Zhang X, Song Y, Guo R.
europepmc   +1 more source

Neural manifolds in spinal networks that orchestrate walking and stopping

Berg R, Komi S, Kaur J, Winther A, Bonfils M, Houser G, Sorensen J, Li G, Sobriel K.   +8 more
europepmc   +1 more source

Stability and Lyapunov Theory

In this chapter, we explore mathematical tools for assessing the stability, convergence, and boundedness of trajectories in generally nonlinear dynamical systems. We delve into the seminal theorems introduced by A.
Karayiannidis, Yiannis
exaly   +4 more sources

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Cone-valued Lyapunov functions and stability theory

Nonlinear Analysis: Theory, Methods & Applications, 1994
The authors consider a differential system of the form \(x'= f(t,x)\), \(x\in\mathbb{R}^ n\). They deal with stability in terms of two measures, a notion of stability which allows a unified treatment of a number of different definitions existing in the literature.
Lakshmikantham, V., Papageorgiou, Nikolaos S.   +1 more
exaly   +2 more sources

Lyapunov Stability Theory for Nonlinear Nabla Fractional Order Systems

IEEE Transactions on Circuits and Systems II: Express Briefs, 2021
Lyapunov method is a powerful tool for studying the stability of dynamic systems while existing work mainly focuses on the asymptotic stability and rarely concerns the boundedness. Under this background, this brief aims to discuss the boundedness of nonlinear nabla fractional order systems.
Yiheng Wei
exaly   +3 more sources

On application of the Lyapunov matrix-functions in the theory of stability

Nonlinear Analysis: Theory, Methods & Applications, 1985
We consider the differential equation (1) \(\dot x=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f\in C(R_+\times R^ n)\). Suppose that the solution \(\chi (t;x_ 0)\) of system (1) is unique and exists for all \(t\geq 0\) for \(t_ 0\geq 0\), \(x_ 0\in int N\), \(N\subseteq R^ n\), \(\chi (t_ 0,x_ 0)=x_ 0\).
exaly   +2 more sources

Stability Theory via Vector Lyapunov Functions

, 2011
This chapter describes a fundamental stability theory for nonlinear dynamical systems using vector Lyapunov functions. It first introduces the notation and definitions before developing stability theorems via vector Lyapunov functions for continuous-time and discrete-time nonlinear dynamical systems.
Wassim M. Haddad, Sergey G. Nersesov
openaire   +2 more sources