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Prescribed Performance Control of Uncertain Euler–Lagrange Systems Subject to Full-State Constraints

IEEE Transactions on Neural Networks and Learning Systems, 2018
This paper studies the zero-error tracking control problem of Euler-Lagrange systems subject to full-state constraints and nonparametric uncertainties. By blending an error transformation with barrier Lyapunov function, a neural adaptive tracking control
Kai Zhao   +3 more
semanticscholar   +1 more source

Lagrange's Equation

The Mathematical Gazette, 1935
Students find partial differential equations difficult not only on account of the inherent difficulties of the subject, but because of confusion, omissions, and, frequently, errors in the textbooks. To take an illustration, Piaggio (p. 147, new edition), begins with the statement that the equations
openaire   +3 more sources

Lagrange Exponential Stability of Complex-Valued BAM Neural Networks With Time-Varying Delays

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020
This paper is concerned with the Lagrange exponential stability problem of complex-valued bidirectional associative memory neural networks with time-varying delays.
Ziye Zhang   +3 more
semanticscholar   +1 more source

Distributed algorithms for aggregative games of multiple heterogeneous Euler-Lagrange systems

at - Automatisierungstechnik, 2019
In this paper, an aggregative game of Euler–Lagrange (EL) systems is investigated, where the cost functions of all players depend on not only their own decisions but also the aggregate of all decisions.
Zhenhua Deng, Shu Liang
semanticscholar   +1 more source

Lagrange crisis and generalized variational principle for 3D unsteady flow

International journal of numerical methods for heat & fluid flow, 2019
Purpose A three-dimensional (3D) unsteady potential flow might admit a variational principle. The purpose of this paper is to adopt a semi-inverse method to search for the variational formulation from the governing equations.
Ji-Huan He
semanticscholar   +1 more source

Fractional optimal control problems with time-varying delay: A new delay fractional Euler-Lagrange equations

Journal of the Franklin Institute, 2020
In this paper, a new Euler–Lagrange formulation is derived for fractional optimal control problems with time-varying system which is called delay fractional Euler–Lagrange equations.
Seyed Ali Rakhshan, S. Effati
semanticscholar   +1 more source

Lagrange Multipliers

Encyclopedia of Continuum Mechanics, 2020
In this section, we present a second method for dealing with these problems known as Lagrange’s method for maximizing (or minimizing) a general function f(x, y) subject to a constraint g(x, y) = c.
Yan-Bin Jia
semanticscholar   +1 more source

Leader–Following Consensus of Multiple Uncertain Euler–Lagrange Systems With Unknown Dynamic Leader

IEEE Transactions on Automatic Control, 2019
In this paper, we consider the leader–following consensus problem of uncertain Euler–Lagrange multi-agent systems. In comparison with existing results, the leader system is used to formulate both the reference trajectory and external disturbances, and ...
Maobin Lu, Lu Liu
semanticscholar   +1 more source

Practical trajectory tracking of random Lagrange systems

at - Automatisierungstechnik, 2019
The problem of trajectory tracking is considered in this paper for Lagrange systems disturbed by second moment processes. For random differential equations, the concept of noise-to-state practical stability and its criterion are proposed.
Zhaojing Wu, H. Karimi, P. Shi
semanticscholar   +1 more source

Generalized Lagrange Multiplier Method and KKT Conditions With an Application to Distributed Optimization

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2019
The Lagrange multiplier method is widely used for solving constrained optimization problems. In this brief, the classic Lagrangians are generalized to a wider class of functions that satisfies the strong duality between primal and dual problems. Then the
Mengmou Li
semanticscholar   +1 more source

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