Linear Time-Invariant Discrete Delay Systems in Laguerre Domain

Linear Time-Invariant Systems with Discrete Time

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

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 ...

Linear Time Invariant Filtering in Discrete Wavelet Domain

Discrete wavelet coefficients of input and output of a Linear Time Invariant system, respectively, are shown to be related by a transformation matrix whose elements depend upon characteristics of the system and choice of wavelet bases. A filter bank implementation of the matrix using digital filters, Upand Down-samplers is also given.

Exponential Delay-dependent Stability for Linear Discrete Time Delay Systems

To satisfy the performance specification and to have a good transient response of the system, the controlled system is often designed to possess a specific stability degree. If the controlled system has a stability degree  , we say that the system is exponentially stable. This paper gives sufficient condition for the exponential stability of linear discrete time delay systems. This new, delay-...