Regional Boundary Asymptotic Gradient Full Order Observer Via Internal Region

一类受三角多项式扰动非线性系统的扰动抑制的规范内部模型

A Canonical Internal Model for Disturbance Rejection for a Class of Nonlinear Systems Subject to Trigonometric-Polynomial Disturbances

本文提出了一种针对受三角多项式扰动非线性系统的规范内部模型，通过自适应观测器实现扰动抑制和轨迹跟踪。

Gradient-like observers for invariant dynamics on a Lie group

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated fundamental system structure. The concept of synchrony of two dynamical systems is specialised to systems on Lie groups. For invariant systems this leads to a general factorisation theorem of a nonlinear observer into a synchronous (internal model) term and an innovation term. The synchronous term is fully specified by the system model. We propose a design methodology for the innovation term based on gradient-like t…

Regional Boundary Gradient Strategic Sensors Characterizations

The purpose of this paper is to characterize regional boundary gradient strategic sensors notions for different cases of regional boundary gradient observation to be achieved. Then, the characterizations based on how to a cross from internal gradient region to the boundary gradient region. Thus, the obtained results are applied in two dimensional linear infinite distributed systems in Hilbert space where the dynamics are governed by strongly continuous semi-group. Moreover, we give the relation between the regional gradient observability on a subregion small Gama of the spatial domain Omega wi…

储层计算中的内模原理

The internal model principle in reservoir computing

本文以内模原理统一储层计算的学习机制，通过信号发生器建模训练信号，建立与输出调节、观测器及频域插值的联系，并解释预测器不稳定性以指导设计。

Output feedback exponential stabilization of a nonlinear 1-D wave equation with boundary input

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance. Using only two displacement signals, we propose a disturbance estimator that not only can estimate successfully the disturbance in the sense that the error is in $L^2(0,\infty)$ but also is free high-gain. With the estimated disturbance, we design a state observer that is exponentially convergent to the state of original system. An observer-based output feed…

Riemann-Liouville分数阶半线性方程的边界可控性

Boundary Controllability of Riemann-Liouville Fractional Semilinear Equations

本文研究带Neumann边界条件的Riemann-Liouville分数阶半线性次扩散系统的边界区域可控性，利用半群理论、分数阶Hilbert唯一性方法和Schauder不动点定理给出充分条件，并通过数值模拟验证了方法的有效性。

Nonlinear Bilateral Output-Feedback Control for a Class of Viscous Hamilton-Jacobi PDEs

We tackle the boundary control and estimation problems for a class of viscous Hamilton-Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-D spatial domain. First, we solve the nonlinear trajectory generation problem for this type of PDEs, providing the necessary feedforward actions at both boundaries. Second, in order to guarantee trajectory tracking with an arbitrary decay rate, we construct nonlinear, full-state feedback laws employed at the two boundary ends. Third, a nonlinear observer is constructed, using measurements from both boundaries, which …

A New Approach to Adaptive Nonlinear Regulation

This paper shows how the theory of adaptive observers can be effectively used in the design internal models for nonlinear output regulation. The main result obtained in this way is a new method for the synthesis of adaptive internal models which substantially enhances the existing theory of adaptive output regulation, by allowing nonlinear internal models and more general classes of controlled plants.

Most productive scale size of China's regional R&D value chain: A mixed structure network

This paper offers new mathematical models to measure the most productive scale size (MPSS) of production systems with mixed structure networks (mixed of series and parallel). In the first property, we deal with a general multi-stage network which can be transformed, using dummy processes, into a series of parallel networks. In the second property, we consider a direct network combined with series and parallel structure. In this paper, we propose new models to measure the overall MPSS of the production systems and their internal processes. MPSS decomposition is discussed and examined. As a real…