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- Title
Practical Exponential Stability of Uncertain Nonlinear Delayed Urban Traffic Systems.
- Authors
Zhuan Liu; Peng Gao; Chao Wei
- Abstract
Practical stability can describe qualitative behavior and quantitative properties of systems in comparison with traditional Lyapunov stability theory. In this paper, such stability problem is formulated for nonlinear delayed urban traffic systems described by uncertain differential equations which are a type of differential equations driven by Liu processes. First of all, we prove the existence and uniqueness of the solution. Then, we analyze the pth moment practically exponential stability and quasi surely globally practically uniformly exponential stability of the system by employing general It'o formula, Gronwall's inequality, Holder inequality and Borel-Cantelli lemma. Moreover, an example is presented to verify the validity of our theoretical methods.
- Subjects
EXPONENTIAL stability; URBANIZATION; STABILITY theory; DIFFERENTIAL equations; GRONWALL inequalities; CITY traffic; LINEAR matrix inequalities; URBAN transit systems
- Publication
Engineering Letters, 2024, Vol 32, Issue 5, p1033
- ISSN
1816-093X
- Publication type
Article