Asymptotic properties of minimax solutions of Isaacs-Bellman equations in differential games with fast and slow motions

✍ Scribed by N.N. Subbotina

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 462 KB
• Volume: 60
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(96)00110-4

✦ Synopsis

Sufficient conditions under which the solutions of the Cauchy problem for singularly-perturbed Hamilton-Jacobi equations will converge to a limit are established. The results are used to investigate the asymptotic behaviour of the value function of a differential game involving fast and slow motions.