id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2992	Al-Hawasy, Jamil Amir; Abd Alsatar Hassan, Mayeada 	Constraints Optimal Classical Continuous Control Vector Problem for Quaternary Nonlinear Hyperbolic System 	2023	10	.pdf	application/pdf	6209	273	83	And the Ham is defined as: 𝐻(𝑥, 𝑡, �⃗�, �⃗⃗�, �⃗�) = ∑ 𝑖=1 4 (𝑍𝑖𝑓𝑖(𝑥, 𝑡, 𝑦𝑖, 𝑢𝑖) + 𝑔𝑖(𝑥, 𝑡, 𝑦𝑖, 𝑢𝑖)) , Where 𝐺 (�⃗⃗�) = Σ 𝑖=1 4 ∫ 𝑄 𝑔 𝑖 (𝑥, 𝑡, 𝑦𝑖, 𝑢𝑖)𝑑𝑥𝑑𝑡. Then the DD of G is 𝐷𝐺(�⃗⃗�, �⃗⃗̅� − �⃗⃗�) = lim →0 𝐺(�⃗⃗⃗�+ 𝛿�⃗⃗⃗�)−𝐺(�⃗⃗⃗�) Lastly, dividing both sides by 휀, then taking the limit 휀 → 0, yields to 𝐷𝐺(�⃗⃗�, �⃗⃗̅� − �⃗⃗�) = ∫ 𝑄 𝐻�⃗⃗⃗�(𝑥, 𝑡, �⃗�, �⃗⃗�, �⃗�)(�⃗⃗̅� − �⃗⃗�)𝑑𝑥𝑑𝑡 .	cache/iajs-2992.pdf	txt/iajs-2992.txt