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The GGL variational principle for constrained mechanical systems
We present an extension of the Livens variational principle (sometimes also referred to as Hamilton-Pontryagin principle) to mechanical systems...
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Action Concept and Hamilton’s Principle
The approach using ‘variational principles’ for solving problems of physics, particularly problems related to mechanics, has been proposed by the...
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Cooperative Control for Wind Turbines Based on Hamilton System Under Limited Input
Aiming at the complex nonlinear system such as wind power generation, under the condition of limited input, how to achieve the maximum wind energy...
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Structure-preserving integrators based on a new variational principle for constrained mechanical systems
A new variational principle for mechanical systems subject to holonomic constraints is presented. The newly proposed GGL principle is closely related...
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Mixed Use of Pontryagin’s Principle and the Hamilton-Jacobi-Bellman Equation in Infinite- and Finite-Horizon Constrained Optimal Control
This paper proposes a framework for solving a class of nonlinear infinite- and finite-horizon optimal control problems with constraints....
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A note concerning some aspects for application of a thermodynamic extremal principle (TEP) for continua
A matter of fact is that extremal principles have been introduced in mechanics in more (Euler, Lagrange) or less (Hamilton) than 200 years ago. One...
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Hamilton–Pontryagin spectral-collocation methods for the orbit propagation
According to the discrete Hamilton–Pontryagin variational principle, we construct a class of variational integrators in the real vector spaces and...
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Stationary Hamilton-Jacobi Equations for Convex Control Problems: Uniqueness and Duality of Solutions
This note summarizes some of the results of the author obtained in [7], with examples coming also from [6] and [8]. We focus on Hamilton-Jacobi and...
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Herglotz-type principle and first integrals for nonholonomic systems in phase space
The Herglotz-type principle and first integrals in phase space for nonconservative nonholonomic systems are researched. Firstly, we focus on...
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Study of generalized electric spring modeling based on Hamilton’s principle and its stability
The proposed generalized electric spring (G-ES) topology effectively reduces the redundancy caused by the parallel structure of multiple electric...
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A Dual Variational Principle for Nonlinear Dislocation Dynamics
A dual variational principle is defined for the nonlinear system of PDE describing the dynamics of dislocations in elastic solids. The dual...
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Discrete maximum principle in Hamel’s formalism for nonholonomic optimal control
In this work, a discrete maximum principle in Hamel’s formalism for optimal nonholonomic motion planning is proposed, which is a discrete analogue of...
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Genesis and progress of virtual power principle
The virtual power principle ( VPP ) of continuum mechanics states a celebrated variational equality between external and internal virtual powers for...
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Power-optimization of multistage non-isothermal chemical engine system via Onsager equations, Hamilton-Jacobi-Bellman theory and dynamic programming
The research on the output rate performance limit of the multi-stage energy conversion system based on modern optimal control theory is one of the...
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Analytical solution to map** rail deformation under bridge transverse deformation using energy variational principle
The track geometry is a critical factor that affects the running safety and riding comfort of trains moving on a high-speed railway bridge. This...
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Optimal Control and the Dynamic Programming Principle
This entry illustrates the application of Bellman’s dynamic programming principle within the context of optimal control problems for continuous-time...
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Uncertainty Principle for the Two-Sided Quaternion Windowed Linear Canonical Transform
In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform (QWLCT) and study the uncertainty principles associated...
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Analysis of the Effectiveness of the Application of the Combined-Maximum Principle in the Problems of Information Processing and Transport Control
Innovative solutions to the problems of information processing and management in transport, obtained on the basis of a fundamental approach called...
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First Principle Investigations of AgBr1−xIx Ternary Alloys
In the current research article, by using density functional theory (DFT) the structural parameters of AgBr1-xIx where x is concentration of do**...
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A Didactic Approach to Energy-Based Dynamic Modeling: Least Action, D’Alembert Principle and Euler-Lagrange Formalism
Special Session: Multibody systems and mechanism design in robotics. This article aims to provide a didactic approach to energy-based dynamic...