Results 1 to 10 of about 1,640,648 (241)
$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems
Advances in Fuzzy Systems, 2008 We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of
M. S. N. Murty, G. Suresh Kumar
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On $\Psi$-stability of nonlinear Lyapunov matrix differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
Aurel Diamandescu
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Resultants and Lyapunov matrix equations [PDF]
Linear Algebra and its Applications, 1989 AbstractLet B and Q be real n × n matrices. It is well known that the discrete Lyapunov matrix equation Y − BTYB = Q has a unique solution Y if and only if the resultant R(g(x), xng(1/x)) is nonzero, where g(x) is the characteristic polynomial of B. Here, by reducing the underlying matrix, we obtain the factorization R(g(x), xng(1x)) = sntn(det Θ)2 ...
Norman, C.W.
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Controllability of semilinear matrix Lyapunov systems
Electronic Journal of Differential Equations, 2013 In this article, we establish some sufficient conditions for the complete controllability of semilinear matrix Lyapunov systems involving Lipschitzian and non-Lipschitzian nonlinearities.
Bhaskar Dubey, Raju K. George
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ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS
Demonstratio Mathematica, 2009 AbstractWe prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.
Murty, M. S. N. +3 more
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
Advances in Difference Equations, 2021 In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
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Robust gain-scheduled H [infinity] control for unmanned aerial vehicles
, 2010 This thesis considers the problem of the design of robust gain-scheduled ight controllers for conventional xed-wing unmanned aerial vehicles (UAVs).
Chumalee, Sunan
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An iterative algorithm for discrete Lyapunov matrix equations
IET Control Theory & Applications, 2021 In this paper, an iterative algorithm is established to solve discrete Lyapunov matrix equations. In this algorithm, a tuning parameter is introduced such that the iterative solution can be updated by using a combination of the information in the last ...
Ai‐Guo Wu +3 more
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IEEE Access, 2020 In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li +3 more
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