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Chaos and bifurcations of a discretized Holling-II prey-predator model including prey refuge and Allee effect. [PDF]
Khan MM, Uddin MJ.
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Cyber attack and fault detection in DC microgrids by designing an event-triggered based-robust algorithm. [PDF]
Hosseini Rostami SM +2 more
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Practical predefined-time adaptive fuzzy control for quantized nonlinear systems via observer-differentiator scheme. [PDF]
Wang Y, Chen J, Ma W.
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Entropy and Chaos-Based Modeling of Nonlinear Dependencies in Commodity Markets. [PDF]
Georgescu I, Kinnunen J.
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ADP-Based Fault-Tolerant Control with Stability Guarantee for Nonlinear Systems. [PDF]
Liu L, Lv J, Lin H, Zhan R, Wu L.
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Comments on "On the Lyapunov matrix equation"
IEEE Transactions on Automatic Control, 1975The Lyapunov matrix equation A'Q + QA = - P is considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matrices Q and P provided A is a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.
Montemayor, J. J., Womack, Baxter F.
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Controllability of impulsive matrix Lyapunov systems
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubey, Bhaskar, George, Raju K.
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Nonlinear Analysis: Theory, Methods & Applications, 1984
For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
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For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
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