Results 11 to 20 of about 10,373,678 (325)
On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
S. Leela, V. Lakshmikantham
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A Novel Method for Optimal Control of Piecewise Affine Systems Using Semi-Definite Programming [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 : In this paper, a novel optimal control design method by discontinuous quadratic Lyapunov function and continuous quadratic Lyapunov function for 2-dimensional piecewise affine systems via semi-definite programming and LMI constraints is proposed.In ...
Majid Akbarian +2 more
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Lyapunov function for cosmological dynamical system
Demonstratio Mathematica, 2017 We prove the asymptotic global stability of the de Sitter solution in the Friedmann-Robertson-Walker conservative and dissipative cosmology. In the proof we construct a Lyapunov function in an exact form and establish its relationship with the first ...
Szydłowski Marek, Krawiec Adam
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Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints
IEEE Access, 2020 This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced for solving the considered problem.
Jia-Yao Jhang +2 more
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IEEE Open Journal of Industry Applications, 2023 Single-phase grid-forming inverters are commonly used in uninterruptible power supply (UPS) systems that feed single-phase critical loads in homes, data centers, and hospitals.
Udoka C. Nwaneto +2 more
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Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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Mathematical Methods in the Applied Sciences, EarlyView., 2022 This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
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The Role of Convexity in Saddle-Point Dynamics: Lyapunov Function and Robustness [PDF]
IEEE Transactions on Automatic Control, 2016 This paper studies the projected saddle-point dynamics associated to a convex–concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected ...
A. Cherukuri +3 more
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Practical stability and Lyapunov functions [PDF]
Tohoku Mathematical Journal, 1980 The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations may not assure "practical stability" and vice versa. For example an aircraft may oscillate around a mathematically unstable path, yet its performance may be acceptable.
Lakshmikantham, V., Bernfeld, Stephen R.
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Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function
Journal of Control Science and Engineering, 2017 The stabilization of a Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. The key of designing control laws by Lyapunov control method is the construction of Lyapunov function.
Jie Wen, Yuanhao Shi, Xiaonong Lu
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