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The problem of robust stochastic stability and delayed-state-feedback stabilisation of uncertain Markovian jump linear systems with random Markov delays is investigated. Based on the Lyapunov stability theory and robust analysis techniques, some robust stochastic stability criteria are derived in terms of linear matrix inequalities. Robust delayed-state-feedback controllers that stochastically stabilise...
Stabilization of uncertain dynamic systems is investigated focusing on plant models that involve both multiplicative and relative uncertainties that are bounded by H??-norm. A new notion of stability margin is proposed to study the robustness of the feedback stability. It is shown that the largest possible stability margin is a two-disk problem. An upper and lower bounds are derived which differ by...
In this paper, we present a polynomial solution to a particular Hfrinfin control problem, which arises in the robust stabilization of a SISO plant when the uncertainty is described by the gap metric, nu-gap metric, pointwise gap metric, or normalized corprime factor perturbation. Compared with the existing state space solution, the polynomial solution appears simpler and more elementary. It boils...
In this paper, we study the problem of stabilizing a linear time-invariant discrete-time system with information constraints in the input channels. The information constraint in each input channel is modeled as a sector uncertainty. Equivalently, the transmission error of an input channel is modeled as an additive system uncertainty with a bound in the induced norm.We attempt to find the least information...
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