Publication details
Exponential Stability of Linear Discrete Systems with Multiple Delays
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | DISCRETE DYNAMICS IN NATURE AND SOCIETY |
| Citation | |
| Web | https://www.hindawi.com/journals/ddns/2018/9703919/ |
| Doi | http://dx.doi.org/10.1155/2018/9703919 |
| Description | The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays x(k + 1) = Ax(k) +Sigma(s)(i=1) B(i)x(k - m(i) ), k = 0,1,..., where s is an element of N, A and B(i )are square matrices, and m(i )is an element of N. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed. |