Equivalent Performance Index in Linear Time-invariant Systems

Linear Time-invariant Systems

control scheme, in which different time scales for the rigid body subsystem dynamics and for the flexible dynamics are used (Canudas de Wit et al., 1996). An application of the two-time scale method is shown, for example, in Kang, Yeung, and Mills (2002). In summary, the aim of the authors to provide an upperlevel undergraduate and graduate textbook and a reference for experienced professionals...

Linear Time-Invariant Systems with Discrete Time

AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis

Control via Interconnection and Damping Assignment of Linear Time–Invariant Systems is Equivalent to Stabilizability ?

In this brief note it is shown that the linear matrix inequalities that result from the application of interconnection and damping assignment passivity–based control to general linear time–invariant systems are feasible if and only if the system is stabilizable. A very simple proof of this fact is given that, in contrast to previous results, does not require the assumption that the system has n...

Passive linear discrete time-invariant systems

We begin by discussing linear discrete time-invariant i/s/o (input/state/output) systems that satisfy certain ‘energy’ inequalities. These inequalities involve a quadratic storage function in the state space induced by a positive self-adjoint operator H that may be unbounded and have an unbounded inverse, and also a quadratic supply rate in the combined i/o (input/output) space. The three most ...