There are two crucial aspects of reliable autonomous driving systems: the reasoning behind decision-making and precision environmental perception. This paper introduces DME-Driver, a new system that enhances performance robustness by fully leveraging aspects. comprises main models. The first, Decision Maker, is responsible for providing logical instructions. second, Executor, receives these instructions generates precise control signals vehicles. To ensure explainable decisions, we build...

In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both control operator observation are unbounded but admissible. Using theory symmetric systems, prove exponential stability underlying semigroup for network. Applying recent well-posed infinite-dimensional linear that regular derive various properties its transfer functions, which potentially useful controller design. Our...

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This note addresses the stabilization of a one-dimensional wave equation with control at one end and noncollocated observation another end. A simple exponentially convergent observer is constructed. The dynamical stabilizing boundary output feedback designed via observed state. While closed-loop system nondissipative, we show its exponential stability using Riesz basis approach. </para>

The article deals with the output feedback regulation of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability closed-loop system. An example parabolic partial differential equation (PDE) and hyperbolic are worked out show how stabilizing controllers designed. proof is based on a novel functional construction that employs forwarding techniques.

The stabilizability and stabilization of a rotating body-beam system with torque control are discussed. This has linear inertial manifold. An operator-theoretic argument is used to provide an alternative proof this fact. By taking into account the effect damping (structural or viscous), stability result J. Baillieul M. Levi (1987) proved using LaSalle principle (1968). It shown that there exists critical angular velocity for use stabilize in neutral configuration constant velocity. For any...

This paper deals with boundary feedback stabilization of a flexible beam clamped to rigid body and free at the other end. The system is governed by equation nonlinearly coupled dynamical body. authors propose stabilizing law which suppresses vibrations so that whole structure rotates about fixed axis any given small constant angular velocity. composed control torque applied on either moment or force (or both them) end beam. It shown in case are forced decay exponentially zero.

The stabilization with time delay in observation or control represents difficult mathematical challenges the of distributed parameter systems. It is well-known that stability closed-loop system achieved by some stabilizing output feedback laws may be destroyed whatever small there exists observation. In this paper, we are concerned a particularly interesting case: Boundary one-dimensional wave equation for which boundary suffers from an arbitrary long delay. We use observer and predictor to...

The paper is concerned with the control of a fluid flow systemgoverned by nonlinear hyperbolic partial differential equations. andthe output observation are located on boundary. We study local stability ofspatially heterogeneous equilibrium states using Lyapunov approach.We prove that linearized system exponentially stable around each subcriticalequilibrium state. A systematic design proportional and integralcontrollers proposed for based model. Robuststabilization closed-loop proved spectrum method.

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed scalar quasi-linear hyperbolic partial differentialequations. Both input measured output are located on boundary.The closed-loop stabilization of linearized model designed controlleris proved first using method spectral analysis then Lyapunov directmethod. Based elaborated function we prove local exponential stabilityof system same controller. regulationto set-point zero static error...

Abstract With the increase in construction on soft clay, accurately assessing its consolidation behavior has become crucial. This paper presents a system using fractional‐derivative models. The Caputo Merchant model (FDMM) was used to simulate soil skeleton deformation, and Riemann‐Liouville (R‐L) Darcy (FDDM) adopted describe water flow within clay. efficiency of R‐L FDDM verified literature data. one‐dimensional rheological equation derived. reliability numerical procedure examined by...

Abstract A novel human-inspired metaheuristic algorithm, termed Offensive Defensive Optimization, has been introduced to address single-objective optimization problems. This algorithm draws inspiration from the varied strategies utilized by players in board games, emulating and conceptualizing offensive defensive behaviors within a hybrid search framework. The integration of mixed facilitates more efficient exploration exploitation space, thereby enhancing algorithm’s capability surmount...

Federated Learning (FL) enables collaborative learning from distributed data while preserving the privacy of participating clients. While supervised federated with labeled has made notable strides and achieved success, semi-supervised (FSSL) lags in its progress. Existing works for FSSL heavily rely on fully-labeled clients, ignoring distribution pseudo-labels generated skewed unlabeled data. In this work, we offer empirical theoretical insights into challenges encountered when applying...

Accurate trajectory prediction is essential for the safety and efficiency of autonomous driving. Traditional models often struggle with real-time processing, capturing non-linearity uncertainty in traffic environments, dense traffic, modeling temporal dynamics interactions. We introduce NEST (Neuromodulated Small-world Hypergraph Trajectory Prediction), a novel framework that integrates Networks hypergraphs superior interaction accuracy. This integration enables capture both local extended...

Abstract In this paper, we deal with single-input single-output systems of the form on a separable Hilbert space H, where operator A is generator an exponentially stable C0-semigroup b ϵ C -admissible linear and w arbitrary constant disturbance vector in H. We propose low-gain PI-controller which stabilizes regulates system such that, for given reference yr, y(t) tends to yr independently as t → + ∞ . Our result generalizes previous one Pohjolainen (1982) that semigroup not necessarily...

This paper deals with spectrum and Riesz basis assignability of infinite-dimensional linear systems via bounded feedbacks. The necessary sufficient condition Sun [SIAM J. Control Optim., 19 (1981), pp. 730–743] is generalized to a large class boundary control systems. Two typical examples are presented illustrate the application our results. results obtained in this may have potential applications nondissipative spectral

Abstract In this paper we examine the ability of H∞-control theory to perform actually linear control distributed parameter systems in non-trivial cases. The process be controlled is originally an alumina furnace, which modelled by trivializing combustion phenomena as a rather special heat exchanger. This has intrinsic non-minimum phase, due its particular geometry. It non-linear partial differential system, linearized and using H∞-techniques. Algorithms are developed accomplish task,...

In this paper we study asymptotic behaviour of distributed parameter systems governed by partial differential equations (abbreviated to PDE). We first review some recently developed results on the stability analysis PDE Lyapunov's second method. On constructing Lyapunov functionals prove next an exponential result for a class symmetric hyperbolic systems. Then apply establish various chemical engineering processes and, in particular, heat exchangers. Through concrete examples show how method...