This paper surveys applications of the method of matrix Lyapunov functions in the investigation of stability, asymptotic stability and instability of systems modelling real phenomena in engineering ...

SIAM Journal on Applied Mathematics, Vol. 49, No. 2 (Apr., 1989), pp. 404-419 (16 pages) This paper considers the asymptotic behavior of the random harmonic oscillator driven by a Markov process with ...

The study of Lyapunov exponents provides a fundamental framework for assessing the stability and chaotic behaviour of dynamical systems. These exponents quantify the average exponential rates of ...

From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When systems move, they can spiral out of control unless designed with ...