Results 21 to 30 of about 342 (60)
Matrix measure and application to stability of matrices and interval dynamical systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003 Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
wiley +1 more source
Dynamics of a class of uncertain nonlinear systems under flow‐invariance constraints
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 263-294, 2003., 2003 For a class of uncertain nonlinear systems (UNSs), the flow-invariance of a time‐dependent rectangular set (TDRS) defines individual constraints for each component of the state‐space trajectories. It is shown that the existence of the flow‐invariance property is equivalent to the existence of positive solutions for some differential inequalities with ...
Octavian Pastravanu, Mihail Voicu
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On continuity of solutions for parabolic control systems and input-to-state stability [PDF]
, 2018 We study minimal conditions under which mild solutions of linear evolutionary control systems are continuous for arbitrary bounded input functions.
Jacob, Birgit +2 more
core +4 more sources
[Retracted] On the interlacing property and the Routh‐Hurwitz criterion
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 12, Page 727-737, 2003., 2003 Unlike the Nyquist criterion, root locus, and many other stability criteria, the well‐known Routh‐Hurwitz criterion is usually introduced as a mechanical algorithm and no attempt is made whatsoever to explain why or how such an algorithm works. It is widely believed that simple derivations of this important criterion are highly requested by the ...
Ziad Zahreddine
wiley +1 more source
On the Lyapunov equation in Banach spaces and applications to control problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 155-166, 2002., 2002 By extending the Lyapunov equation A*Q + QA = −P to an arbitrary infinite‐dimensional Banach space, we give stability conditions for a class of linear differential systems. Relationship between stabilizability and exact null‐controllability is established.
Vu Ngoc Phat, Tran Tin Kiet
wiley +1 more source
Numerical solution of fractional Mathieu equations by using block-pulse wavelets
Journal of Ocean Engineering and Science, 2019 In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati +3 more
doaj +1 more source
Feedback boundary stabilization of wave equations with interior delay
, 2010 In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.
Ammari, K., Nicaise, S., Pignotti, C.
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Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
wiley +1 more source
Integral and measure-turnpike properties for infinite-dimensional optimal control systems [PDF]
, 2017 We first derive a general integral-turnpike property around a set for infinite-dimensional non-autonomous optimal control problems with any possible terminal state constraints, under some appropriate assumptions.
Trelat, Emmanuel, Zhang, Can
core +3 more sources
New approach to asymptotic stability: time‐varying nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 347-366, 1997., 1995 The results of the paper concern a broad family of time‐varying nonlinear systems with differentiable motions. The solutions are established in a form of the necessary and sufficient conditions for: 1) uniform asymptotic stability of the zero state, 2) for an exact single construction of a system Lyapunov function and 3) for an accurate single ...
L. T. Grujić
wiley +1 more source