Results 71 to 80 of about 1,863,570 (246)

The stability analysis of systems with nonlinear feedback expressed by a quadratic program [PDF]

open access: yes, 2006
We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP).
Lennox, B   +5 more
core   +1 more source

Lyapunov Functions: An Optimization Theory Perspective

open access: yesIFAC-PapersOnLine, 2017
Abstract The problems of unconstrained optimization and establishing asymptotic stability have much in common. Understanding the analogy between these two sheds light on their interconnection and may lead to a number of new results. For instance, in this paper, we provide estimates of the rate of convergence when analyzing asymptotic stability of ...
Boris Polyak, Pavel Shcherbakov
openaire   +1 more source

Distributed State Estimation for Mobile Robots in LiDAR Sensor Networks With Intermittent Inertial Measurements

open access: yesAdvanced Intelligent Systems, EarlyView.
A scalable distributed observer framework for LiDAR sensor networks is presented for robust tracking and pose estimation of mobile robots. By combining adaptable 3D detection, clustering‐based communication reduction, and intermittent inertial fusion, accurate and efficient estimation is achieved under occlusions and sensing constraints, with formally ...
Isabella Luppi, Ehsan Hashemi
wiley   +1 more source

Lyapunov-based Optimization of Edge Resources for Energy-Efficient Adaptive Federated Learning

open access: yes, 2021
The aim of this paper is to propose a novel dynamic resource allocation strategy for energy-efficient adaptive federated learning at the wireless network edge, with latency and learning performance guarantees.
Sergio Barbarossa (11519445)   +3 more
core   +1 more source

Maximizing the Chaotic Behavior of Fractional Order Chen System by Evolutionary Algorithms

open access: yesMathematics, 2021
This paper presents the application of three optimization algorithms to increase the chaotic behavior of the fractional order chaotic Chen system. This is achieved by optimizing the maximum Lyapunov exponent (MLE). The applied optimization techniques are
Jose-Cruz Nuñez-Perez   +4 more
doaj   +1 more source

A generalization of Lyapunov’s convexity theorem with applications in optimal stopping [PDF]

open access: yesProceedings of the American Mathematical Society, 1998
Lyapunov proved that the range of n n finite measures defined on the same
Kühn, Zuzana, Rösler, Uwe
openaire   +2 more sources

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi   +2 more
wiley   +1 more source

An Optimization Approach for Finding a Spectrum of Lyapunov Exponents

open access: yes, 2010
In this chapter, we consider an optimization technique for estimating the Lyapunov exponents from nonlinear chaotic systems. We then describe an algorithm for solving the optimization model and discuss the computational aspects of the proposed algorithm.
Xanthopoulos, P.   +9 more
core   +1 more source

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

open access: yesAsian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Output feedback controller design for polynomial linear parameter varying system via parameter-dependent Lyapunov functions

open access: yesAdvances in Mechanical Engineering, 2017
This article presents a new output feedback controller design method for polynomial linear parameter varying model with bounded parameter variation rate.
Xiaobao Han   +3 more
doaj   +1 more source

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