Mean square stability conditions for discrete stochastic bilinear systems

DOI10.1109/TAC.1985.1103840zbMath0591.93061MaRDI QIDQ3720435

Carlos S. Kubrusly, Oswaldo L. V. Costa

Publication date: 1985

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

zbMATH Keywords

mean square stabilitydiscrete-time stochastic (bi-) linear systemsfirst and second order stability

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Stochastic stability in control theory (93E15)

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Moment stability of nonlinear discrete stochastic systems with time-delays based on \(\mathcal{H}\)-representation technique ⋮ Spectral properties of sums of certain Kronecker products ⋮ Iterative solutions of coupled discrete Markovian jump Lyapunov equations ⋮ Lyapunov equation for infinite-dimensional discrete bilinear systems ⋮ Robust variance control for systems with finite-signal-to-noise uncertainty ⋮ Stability and stabilization of nonlinear discrete‐time stochastic systems ⋮ Mean-square analysis of stochastic cycles in nonlinear discrete-time systems with parametric noise ⋮ Study on general stability and stabilizability of linear discrete‐time stochastic systems ⋮ A relaxed MSIO iteration algorithm for solving coupled discrete Markovian jump Lyapunov equations ⋮ Robust stability, stabilization, and \(H_{\infty}\) control of a class of nonlinear discrete time stochastic systems ⋮ Detectability and observability of discrete-time stochastic systems and their applications ⋮ On stochastic modelling for discrete bilinear systems in Hilbert space ⋮ Model-free optimal control of discrete-time systems with additive and multiplicative noises

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