This paper addresses the problem of finite-time H∞ control via observer-based state feedback for a family of singular Markovian jump systems SMJSs with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-time H∞ stabilization via observer-based state feedback are given. Then an observer-based state feedback c...

The problem of quadratic stabilization of a class of nonlinear systems will be examined in this paper. By employing a well-known Riccati approach, we develop a technique for designing a state feedback control law which quadratically stabilizes the system for all admissible uncertainties. This state feedback control law consists of linear and nonlinear feedback control terms. The linear feedback...

Design of controllers in the form of a state-feedback coupled to a state observer is studied in the context of uncertain systems. The classical approach by Luenberger is revisited. Results provide a heuristic design procedure that mimics the independent state-feedback / observer gains design by minimizing the coupling of observation error dynamics on the ideal state-feedback dynamics. The propo...

Homogenous Charge Compression Ignition (HCCI) engines hold promise of high fuel efficiency and low emission levels for future green vehicles. But in contrast to gasoline and diesel engines, HCCI engines suffer from lack of having direct means to initiate combustion. A combustion timing controller with robust tracking performance is the key requirement to leverage HCCI application in production ...

In the study of problems of disturbance localization, output zeroing, decoupling by state and ouEpuL feedback of linear dynamical sysLems wjth sysLem matrix A and ouEput matrix B, Lhe (A,B)-invariant and (A,B)-controllability subspaces of the state space play an imporLanL roLe. It is shown that the partlally ordered sets of all (A,B)-invariant subspaces and a1l (A,B)controllability subspaces ar...

Kumar et al. consider the M/M/c/N+c feedback queue with constant retrial rate [1]. They provide a solution for the steady state probability based on the matrix-geometric method. We show that there exists a more efficient computation method to calculate the steady state probabilities when N + c is large. We prove that the number of zero-eigenvalues of the characteristic matrix polynomial associa...

A closed-loop (feedback) based algorithm calculating the classical external field for efficient control of qubit state is proposed. The approach is illustrated with two-level atomic system (with decay) driven by classical optical field. It is shown analytically and by simulation that the proposed method allows one to achieve the desired state expressed as the difference of the density matrix di...

The guaranteed cost-control problem for uncertain linear systems which have delay in both state and control input is considered. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequality (LMI). It is shown that the state feedback controllers can be obtained by solving the LMI.