The Stability for the Hyperneutral Type Nonlinear Time Varying Control Systems(1)
The Stability for the Hyperneutral Type Nonlinear Time Varying Control Systems (1)出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)
年 卷 期：1998年第3卷第3期
页 面：23-28页
学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学]
主 题：hyperneutral type time delay nonlinear asymptotically stable
摘 要：We discuss the equivalence problem of hyperneutral type nonlinear time varying control system and linear time varying control system in the theory of *** use of the symmetric positive definite solution of Riccati matrix differential equation which corresponds to the linear time varying control system, we construct the Lyapunov *** we provide the sufficent conditions which make that the zero solution of the hyperneutral type nonlinear time varying control systems is uniformly asymptotically stable by means of the Lyapunov equivalence decomposition method, and find the formulaes which can be used to estimate the bounds of the time delays and the nonlinear terms.
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