Results 291 to 300 of about 98,332 (326)

A Direct Lyapunov Approach to Volterra Integrodifferential Equations

SIAM Journal on Mathematical Analysis, 1988
The author considers the Lyapunov approach to integrodifferential equations of the type \[ x'(t)+A(t)x(t)=\int^{t}_{t_ 0}C(t,s)x(s)ds+f(t),\quad t\geq t_ 0,\quad x(t_ 0)=x_ 0, \] and \(d/dt(x(t)+\int^{t}_{t_ 0}G(t,s)x(s)ds+g(t))+A(t)x(t)=0\), \(t\geq t_ 0\), \(x(t_ 0)=x_ 0\).
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Lyapunov approach to robust pole-assignment analysis

International Journal of Control, 1989
Abstract The robust pole assignment of systems with linear time-invariant perturbations is considered. Based upon the Lyapunov approach, new techniques for calculating the robustness bounds for pole assignment in any chosen region are presented. These take account not only of stability robustness but also of certain types of performance robustness ...
Yau-Tarng Juang, Zuu-Chang Hong, Yi-Tarng Wang   +2 more
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A Lyapunov approach for stable reinforcement learning

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MIMO Sliding Mode Control: A Lyapunov Approach

1991 American Control Conference, 1991
The MIMO sliding mode controller (SMC) developed in this paper retains the robustness to parameter variations and disturbances which characterizes traditional SMC systems but is designed using Lyapunov's direct method As a result, it is not necessary 1) to transform the systems to phase canonical form; 2) to require that each sliding submanifold be ...
Fengxi Zhou, D. Grant Fisher
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Sliding mode control design via Lyapunov approach

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
The paper discusses sliding mode control design for nonlinear dynamic systems by means of Lyapunov functions. The control objective is to stabilize the state to an equilibrium manifold. It is shown that there exist a linear hypersurface in control space which we call the decision manifold such that the control design goal is accomplished if at each ...
R. DeCarlo, S. Drakunov
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Uncertain dynamical systems--A Lyapunov min-max approach

IEEE Transactions on Automatic Control, 1979
A class of dynamical systems in the presence of uncertainty is formulated by contingent differential equations. Asymptotic stability (in the sense of Lyapunov) is then developed via generalized dynamical systems (GDS's). The uncertainty is deterministic; the only assumption is that its value belongs to a known compact set.
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Generation of Lyapunov functions—a new approach

International Journal of Control, 1974
A modified method of differential moments for the generation of Lyapunov functions is presented. The modified formulation given in this paper is an improvement over the existing method that it fixes the maximum number of moment equations to be considered for o given system, to obtain one or more V-functions for the study of stability of non-linear ...
T. NAGARAJA, V. V. CHALAM
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A Lyapunov approach to incremental stability properties

IEEE Transactions on Automatic Control, 2002
Deals with several notions of incremental stability. In other words, the focus is on stability of trajectories with respect to one another, rather than with respect to some attractor. The aim is to present a framework for understanding such questions fully compatible with the well-known input-to-state stability approach.
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Homogeneous High Order Sliding Mode design: A Lyapunov approach

Automatica, 2017
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Cruz-Zavala, Emmanuel, Moreno, Jaime A.
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A Lyapunov approach to analysis of discrete singular systems

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
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Zhang, QL, Hill, D, Liu, WQ
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