In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable ...
In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable ...
In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable ...
In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time- delay is investigated. A continuously differentiable ...
Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov ...
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Jan 24, 2018 · In this section, we shall present some ADT results for ISS of switched system (1) based on Lyapunov method involving indefinite derivative.
Semantic Scholar extracted view of "Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function" by Chongyang Ning et al.
Input-to-State Stability of Switched Nonlinear Delay Systems Based on ...
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Feb 8, 2018 · By introducing a novel Lyapunov-Krasovskii functional with indefinite derivative and the merging switching signal techniques, some new ...
Practical Input‐to‐State Stability of Nonlinear Systems with Time Delay
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Sep 7, 2023 · A nonlinear system with delay employing an indefinite LKF has been investigated for the ISpS and iISpS criteria. Indefinite negative derivatives ...
People also ask
What is Lyapunov Krasovskii method?
A novel Lyapunov–Krasovskii functional is established by employing the idea of combining delay-decomposition with state vector augmentation. Then, by employing some integral inequalities and the reciprocally convex approach, some less conservative delay-dependent stability criteria are obtained.
What is the time derivative of Lyapunov function?
A Lyapunov function, Y(x(t)), is a positive scalar that depends on the system's state. By definition, the time derivative of a Lyapunov function is non-positive. Mathematically these conditions can be described by: Y(x(t)) ≥ 0.
Sep 7, 2023 · The ISpS and iISpS of the systems are obtained by using a continuously differentiable Lyapunov–Krasovskii functional (LKF) within-definite ...
Indefinite derivative Lyapunov-Krasovskii functional method for input to state stability of nonlinear systems with time-delay. ... time learning. IEEE ...