Since the field of autonomous vehicles is developing quickly, it is becoming increasingly crucial for them to safely and effectively navigate their surroundings to avoid collisions. The primary collision avoidance algorithms currently employed by self-driving cars are examined in this thorough survey. It looks into several methods, such as sensor-based methods for precise obstacle identification, sophisticated path-planning algorithms that guarantee cars follow dependable and safe paths, and decision-making systems that allow for adaptable reactions to a range of driving situations. The survey also emphasizes how Machine Learning methods can improve the efficacy of obstacle avoidance. Combined, these techniques are necessary for enhancing the dependability and safety of autonomous driving systems, ultimately increasing public confidence in this game-changing technology.
11 November 2024 in American Journal of Applied Mathematics
This article is dedicated to study the existence and uniqueness of solutions for a non local bounbary value problem of Caputo-type Hadamard hybrid fractional integro-differential equations in Banach space, the recent researches considered the study of differential equations of Caputo-type Hadamard hybrid fractional integro-differential equations with classical order and the study of existence and uniqueness of solutions using approched numerical methodes, the objective of this paper is the study of the existence and uniqueness of fractional order of integro-differential equations involving the Caputo-type Hadamard derivative using fixed point theory. This work have two important results, the first result was the discussion of a new results owing to the fixed point theorem. Before the prove of results the problem was trandformed to Hadamard type problem. The first result based on Dhage fixed point theorem, after transforming our nonlocal boundary value problem into integral equation we defined operator equation, then we applied the fixed point theorem to get the existence resutl. The second result was the existence and uniqueness of solution for our nonlocal boundary value problem, we get this result using the Banach fixed point theorem. We illustrate our results by example to ending our theorical study.